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statistics.ipynb
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "view-in-github", | |
| "colab_type": "text" | |
| }, | |
| "source": [ | |
| "<a href=\"https://colab.research.google.com/gist/VS-CDR/90b8c16e0530410dff6be5abd18ec781/statistics.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "id": "ZJbJBdDwYvaY" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib\n", | |
| "from matplotlib import pyplot as plt\n", | |
| "from scipy import stats\n", | |
| "\n", | |
| "from math import sqrt" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "id": "mlJLtfuSGWXr" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "matplotlib.rcParams['figure.max_open_warning'] = 32" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "id": "7xj2picyZFcP" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "rng = np.random.default_rng()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "Vo5wgTCowSBt" | |
| }, | |
| "source": [ | |
| "" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "id": "q8Rg_PUyqbNk" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def plot_hist(est1:list[float], est1_title:str,\n", | |
| " est2:list[float], est2_title:str,\n", | |
| " theta:float):\n", | |
| " bins_strategy = 'auto'\n", | |
| " fig, axs = plt.subplots(1, 4, tight_layout=False, figsize=(16, 8))\n", | |
| " #fig.suptitle('')\n", | |
| "\n", | |
| " assert len(est1) == len(est2)\n", | |
| " n = len(est1)\n", | |
| "\n", | |
| " axs[0].set_title(est1_title)\n", | |
| " counts_est1, bins_est1 = np.histogram(est1, bins=bins_strategy)\n", | |
| " axs[0].stairs(counts_est1, bins_est1, fill=True, color='c')\n", | |
| " axs[0].axvline(x=theta, color='r')\n", | |
| "\n", | |
| " asympt_est1 = [sqrt(n) * (theta_hat - theta) for theta_hat in est1]\n", | |
| " asympt_counts_est1, asympt_bins_est1 = np.histogram(asympt_est1, bins=bins_strategy)\n", | |
| " axs[1].stairs(asympt_counts_est1, asympt_bins_est1, fill=True, color='c')\n", | |
| "\n", | |
| " axs[2].set_title(est2_title)\n", | |
| " counts_est2, bins_est2 = np.histogram(est2, bins=bins_strategy)\n", | |
| " axs[2].stairs(counts_est2, bins_est2, fill=True, color='c')\n", | |
| " axs[2].axvline(x=theta, color='b')\n", | |
| "\n", | |
| " asympt_est2 = [sqrt(n) * (theta_hat - theta) for theta_hat in est2]\n", | |
| " asympt_counts_est2, asympt_bins_est2 = np.histogram(asympt_est2, bins=bins_strategy)\n", | |
| " axs[3].stairs(asympt_counts_est2, asympt_bins_est2, fill=True, color='c')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "id": "UmF1mJyx4a3W" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "class ParametricEstimation:\n", | |
| "\n", | |
| " def __init__(self, estimator=np.mean, name='Выборочное среднее'):\n", | |
| " self.estimator = estimator\n", | |
| " self.name = name\n", | |
| "\n", | |
| " def __call__(self, sample : list[float]):\n", | |
| " return self.estimator(sample)\n", | |
| "\n", | |
| " def get_name(self):\n", | |
| " return self.name" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "id": "WV5m6R0D6Kmx" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "sample_mean = ParametricEstimation()\n", | |
| "sample_median = ParametricEstimation(estimator=np.median, name='Выборочная медиана')\n", | |
| "\n", | |
| "std_stats = (sample_median, sample_mean)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "id": "2IbueYrRY3BF" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# type DistParams = tuple[float, float]\n", | |
| "\n", | |
| "def get_sample(dist, params:tuple[bool, bool], theta, size:int):\n", | |
| " sample = []\n", | |
| "\n", | |
| " if params[0]:\n", | |
| " sample = dist.rvs(loc=theta, size=size)\n", | |
| " elif params[1]:\n", | |
| " sample = dist.rvs(scale=theta, size=size)\n", | |
| " else:\n", | |
| " sample = dist.rvs(size=size)\n", | |
| "\n", | |
| " return sample\n", | |
| "\n", | |
| "\n", | |
| "\n", | |
| "def get_sample_statistics(size:int,\n", | |
| " theta,\n", | |
| " dist,\n", | |
| " params:tuple[bool, bool],\n", | |
| " est:tuple[ParametricEstimation, ParametricEstimation]):\n", | |
| " est_samples = []\n", | |
| "\n", | |
| " for theta_i in theta:\n", | |
| " sample_est1, sample_est2 = [], []\n", | |
| "\n", | |
| " for i in range(size):\n", | |
| " sample = get_sample(dist, params, theta_i, size=1000)\n", | |
| "\n", | |
| " sample_est1.append(est[0](sample))\n", | |
| " sample_est2.append(est[1](sample))\n", | |
| "\n", | |
| " plot_hist(sample_est1, est[0].get_name(), sample_est2, est[1].get_name(), theta_i)\n", | |
| "\n", | |
| " est_samples.append((theta_i, sample_est1, sample_est2))\n", | |
| "\n", | |
| " return est_samples\n", | |
| "\n", | |
| "\n", | |
| "def comparing_estimations(dist,\n", | |
| " params:tuple[bool, bool],\n", | |
| " scope:tuple[int, int],\n", | |
| " est:tuple[ParametricEstimation, ParametricEstimation]):\n", | |
| " est_samples = []\n", | |
| " low, high = scope\n", | |
| "\n", | |
| " for i in range(3):\n", | |
| " theta = rng.uniform(low=low, high=high, size=3)\n", | |
| " est_samples.extend(get_sample_statistics(size=101, theta=theta, dist=dist, params=params, est=est))\n", | |
| "\n", | |
| " return est_samples" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "KZ352O7C3RA4", | |
| "outputId": "82933e05-ae4c-492d-849c-0dc65fd75171" | |
| }, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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rXnvttRg1alTstttu0alTpzjvvPPigw8+qM9SqmVHe0Ux11cbvaIY339qq08US2311Seq8766PUKNGlq3bl0MGDAgpk2bVq3xGzZsiI4dO8ZFF10UAwYM2Oq4Nm3axNtvv51bXn311dqacq2qaf3z5s2Lo48+On7/+9/HwoUL48gjj4xjjz02nn766dyY3/zmNzFx4sSYPHly/OUvf4kBAwbE8OHD45133qmrMnZIXdQeEdGvX7+8ff/YY4/VxfR3Sk1rb9myZYwfPz7mzZsXL7zwQlx00UVx0UUXxc9//vPcmF11v1en9og09ntDs3Hjxvj85z8f55xzTo0eN2LEiLx9edttt9XRDOvOjtR+5ZVXxnXXXRc33XRTPPHEE9GyZcsYPnx4vPfee3U409p32mmnxd/+9reYPXt23H///TFv3rw466yztvu4M888M2+/78hBWH2q6Xvun/70pxg9enScccYZ8fTTT8cJJ5wQJ5xwQjz//PP1PPOdtyP9JpXjsm2paf9atmxZjBo1Ko488sh45plnYsKECfHVr351i3+MQuGlchxVHXPnzo1x48bFggULYvbs2fH+++/HMcccE+vWrcuNOffcc+O+++6LmTNnxty5c+Ott96Kk046qYCz3jF//vOf42c/+1nsv//+eetTru/f//53HHroodG0adN44IEH4u9//3v86Ec/it133z03JuVjhiuuuCJuvPHGuOGGG+KFF16IK664Iq688sq4/vrrc2NSqm97vaE6tezosVMxevHFF6OioiJ+9rOfxd/+9re45ppr4qabborvfe97uTHl5eVxzDHHRI8ePWLhwoVx1VVXxaWXXpr3+S6l46ZU+0dt9IpNmzbFqFGjYuPGjfGnP/0pfvWrX8WMGTPikksuKURJW7WjvaKY66utXlGM7z+11SeKpbb66BPVeV+tlowdFhHZ3XffXe3xQ4YMyb71rW9VWT99+vSsbdu2tTav+lLT+it94hOfyKZMmZK7/alPfSobN25c7vamTZuyrl27ZlOnTq2NadaJ2qp98uTJ2YABA2pvYvVgR2s/8cQTsy996Uu52w1pv29ee4r7vSGpyXvymDFjsuOPP75O51Ofqlt7RUVFVlZWll111VW5datWrcpKS0uz2267rQ5nWLv+/ve/ZxGR/fnPf86te+CBB7KSkpLszTff3OrjttbPi1lN33NPOeWUbNSoUXnrBg0alJ199tl1Os+6UNPaUz0u25bq9K/zzz8/69evX966L3zhC9nw4cPrcGbsqBSPo6rrnXfeySIimzt3bpZlH/aXpk2bZjNnzsyNeeGFF7KIyObPn1+oadbYmjVrst69e2ezZ8/O6yOp1/fd7343O+yww7Z6f+rHDKNGjcq+8pWv5K076aSTstNOOy3LsrTr27w3VKeWHT12SsmVV16Z9ezZM3f7pz/9abb77rtnGzZsyK377ne/m/Xp0yd3O6Xjpl2lf+xIr/j973+fNWrUKFu+fHluzI033pi1adMmb/8W0s70imKurzZ6RbG+/9RGnyjW2uqqT1TnfbU6nKlRJNauXRs9evSIbt26xfHHHx9/+9vfCj2lOlFRURFr1qyJ9u3bR8SHfx28cOHCGDZsWG5Mo0aNYtiwYTF//vxCTbNObF57pcWLF0fXrl1j7733jtNOOy1ee+21As2w7jz99NPxpz/9KYYMGRIRDWu/b157pYaw3xuKOXPmRKdOnaJPnz5xzjnnxMqVKws9pTq3bNmyWL58ed6/4bZt28agQYOS+jc8f/78aNeuXRx00EG5dcOGDYtGjRrFE088sc3H3nLLLdGhQ4fYb7/9YtKkSfHuu+/W9XR32I68586fPz9vfETE8OHDk9q/ETvebxrKcdlH7Sr7vCHY1Y+jVq9eHRGRO2ZeuHBhvP/++3n19u3bN7p3755UvePGjYtRo0ZV+XeWen2//e1v46CDDorPf/7z0alTpzjwwAPjF7/4Re7+1I8ZDjnkkHj44YfjpZdeioiIv/71r/HYY4/FyJEjIyL9+j6qOrXszLFTKlavXp33mX3+/PlxxBFHRLNmzXLrhg8fHosWLYp///vfuTEp9NBdqX/sSK+YP39+9O/fPzp37pwbM3z48CgvLy+aY72d6RXFXF9t9Ipiff+pjT5RrLVtrrZqqc77anU02dmC2Hl9+vSJ//mf/4n9998/Vq9eHVdffXUccsgh8be//S323HPPQk+vVl199dWxdu3aOOWUUyIi4p///Gds2rQp7003IqJz587x4osvFmKKdWbz2iMiBg0aFDNmzIg+ffrE22+/HVOmTInDDz88nn/++WjdunUBZ1s79txzz/jHP/4RH3zwQVx66aXx1a9+NSIaxn7fWu0Ru/5+b0hGjBgRJ510UvTs2TOWLl0a3/ve92LkyJExf/78aNy4caGnV2eWL18eEbHFf8OV96Vg+fLl0alTp7x1TZo0ifbt22+zji9+8YvRo0eP6Nq1azz77LPx3e9+NxYtWhR33XVXXU95h+zIe+7y5cuT378RO1Z7Qzou+6it7fPy8vJYv359tGjRokAzY3O78nFURUVFTJgwIQ499NDYb7/9IuLD381mzZpVueZTSu9Jt99+e/zlL3+JP//5z1XuS72+l19+OW688caYOHFifO9734s///nP8c1vfjOaNWsWY8aMSf6Y4YILLojy8vLo27dvNG7cODZt2hQ/+MEP4rTTTouIXeeYKKJ6tezosVMqlixZEtdff31cffXVuXXLly+Pnj175o2rfI2WL18eu+++ezLHTbtK/9jRXrG1/VR5X6HtbK8o5vpqo1cU6/tPbfSJYq1tc7VVS3XeV6tDqFEEBg8eHIMHD87dPuSQQ2LfffeNn/3sZ3H55ZcXcGa169Zbb40pU6bEvffeW+UXfFe3tdork9uIiP333z8GDRoUPXr0iDvuuCPOOOOMQky1Vv3xj3+MtWvXxoIFC+KCCy6IffbZJ0aPHl3oadWLbdW+q+/3YnLBBRfEFVdcsc0xL7zwwg5fqP3UU0/N/dy/f//Yf//9o1evXjFnzpw46qijdmibtaWuay9m1a19R330+0D79+8fXbp0iaOOOiqWLl0avXr12uHtUhwaynEZFKNx48bF888/v0tda+z111+Pb33rWzF79uxo3rx5oadT6yoqKuKggw6K//qv/4qIiAMPPDCef/75uOmmm2LMmDEFnt3Ou+OOO+KWW26JW2+9Nfr165e75lDXrl13ifp2VTtyHPzmm2/GiBEj4vOf/3yceeaZdT1FdoJekZ5duVfoE4Uj1ChCTZs2jQMPPDCWLFlS6KnUmttvvz2++tWvxsyZM/NOU+rQoUM0btw4VqxYkTd+xYoVUVZWVt/TrBNbq31L2rVrFx//+Md3mX1fmbz2798/VqxYEZdeemmMHj26Qez3rdW+Jbvafi8m3/72t2Ps2LHbHLP33nvX2vPtvffe0aFDh1iyZEnBQ426rL3y3+mKFSuiS5cuufUrVqyIAw44YIe2WZuqW3tZWVmViyJ+8MEH8a9//atG70WDBg2KiA//uq8YQ40dec8tKyvbJd6ja6Pf7IrHZVuytX3epk0bZ2kUmV31OGr8+PG5i0l+9KyosrKy2LhxY6xatSrvL1RTqXfhwoXxzjvvxCc/+cncuk2bNsW8efPihhtuiAcffDDp+rp06RKf+MQn8tbtu+++8b//+78RUfzHDNtz3nnnxQUXXJD7Q5b+/fvHq6++GlOnTo0xY8YkX99HVaeW2jp2qms1PQ5+66234sgjj4xDDjmkyoVqt9YfK+/b1phiek0ido3+sTO9oqysLJ588sm87W2+LwulNnpFMddXG72iWN9/aqNPFGttm6utWqrzvlodrqlRhDZt2hTPPfdc3i9Iym677bY4/fTT47bbbotRo0bl3desWbMYOHBgPPzww7l1FRUV8fDDD+f9lWSqtlX7lqxduzaWLl26y+z7j6qoqIgNGzZExK6/3zf30dq3ZFfe74XWsWPH6Nu37zaXj36P48564403YuXKlUWxL+uy9p49e0ZZWVnev+Hy8vJ44okniuLfcHVrHzx4cKxatSoWLlyYe+wjjzwSFRUVuaCiOp555pmIiKLY71uyI++5gwcPzhsfETF79uyi2L81URv9Zlc7LtuaXWWfNwS72nFUlmUxfvz4uPvuu+ORRx6p8nUEAwcOjKZNm+bVu2jRonjttdeSqPeoo46K5557Lp555pncctBBB8Vpp52W+znl+g499NBYtGhR3rqXXnopevToERHFf8ywPe+++240apT/3yaNGzeOioqKiEi/vo+qTi21dexU12pyHPzmm2/G0KFDY+DAgTF9+vQq+3vw4MExb968eP/993PrZs+eHX369Ml9RUoqPTTl/lEbvWLw4MHx3HPP5f2H6+zZs6NNmzZV/sO9vtVGryjm+mqjVxTr+09t9IlirW1ztVVLdd5Xq6Xm1z5v2NasWZM9/fTT2dNPP51FRPbjH/84e/rpp7NXX301y7Isu+CCC7Ivf/nLeY+pHD9w4MDsi1/8Yvb0009nf/vb33L3T5kyJXvwwQezpUuXZgsXLsxOPfXUrHnz5nljikVN67/llluyJk2aZNOmTcvefvvt3LJq1arcmNtvvz0rLS3NZsyYkf3973/PzjrrrKxdu3bZ8uXL672+bamL2r/97W9nc+bMyZYtW5Y9/vjj2bBhw7IOHTpk77zzTr3Xty01rf2GG27Ifvvb32YvvfRS9tJLL2W//OUvs9atW2cXXnhhbsyuut+rU3sq+72hefXVV7Onn346mzJlStaqVavcfl+zZk1uTJ8+fbK77rory7IPfze+853vZPPnz8+WLVuWPfTQQ9knP/nJrHfv3tl7771XqDJ2SE1rz7Is++EPf5i1a9cuu/fee7Nnn302O/7447OePXtm69evL0QJO2zEiBHZgQcemD3xxBPZY489lvXu3TsbPXp07v433ngj69OnT/bEE09kWZZlS5YsyS677LLsqaeeypYtW5bde++92d57750dccQRhSqhWrb3nvvlL385u+CCC3LjH3/88axJkybZ1Vdfnb3wwgvZ5MmTs6ZNm2bPPfdcoUrYYTWtPaXjsm2paf96+eWXs9122y0777zzshdeeCGbNm1a1rhx42zWrFmFKoFtSOU4qjrOOeecrG3bttmcOXPyjpnffffd3Jivfe1rWffu3bNHHnkke+qpp7LBgwdngwcPLuCsd86QIUOyb33rW7nbKdf35JNPZk2aNMl+8IMfZIsXL85uueWWbLfddstuvvnm3JiUjxnGjBmTfexjH8vuv//+bNmyZdldd92VdejQITv//PNzY1Kqb3u9oTq1bO/YKSVvvPFGts8++2RHHXVU9sYbb+S9B1VatWpV1rlz5+zLX/5y9vzzz2e33357tttuu2U/+9nPcmNSOm5KtX/URq/44IMPsv322y875phjsmeeeSabNWtW1rFjx2zSpEmFKGm7atorirm+2uoVxfj+U1t9olhqq48+UZ331eoQatTQo48+mkVElWXMmDFZln34yzxkyJC8x2xpfI8ePXL3T5gwIevevXvWrFmzrHPnztlnP/vZ7C9/+Uv9FVUDNa1/yJAh2xxf6frrr8+9Bp/61KeyBQsW1F9R1VQXtX/hC1/IunTpkjVr1iz72Mc+ln3hC1/IlixZUr+FVUNNa7/uuuuyfv36ZbvttlvWpk2b7MADD8x++tOfZps2bcrb7q6436tTeyr7vaEZM2bMFvf1o48+mhsTEdn06dOzLMuyd999NzvmmGOyjh07Zk2bNs169OiRnXnmmUX/gWBLalp7lmVZRUVFdvHFF2edO3fOSktLs6OOOipbtGhR/U9+J61cuTIbPXp01qpVq6xNmzbZ6aefnhfmLFu2LO+1eO2117Ijjjgia9++fVZaWprts88+2XnnnZetXr26QBVU37bec4cMGVKlN99xxx3Zxz/+8axZs2ZZv379st/97nf1POPaU5PaUzou25YdOWZ99NFHswMOOCBr1qxZtvfee+f9m6f4pHAcVR1b+j3dvOesX78++/rXv57tvvvu2W677ZadeOKJef/pmJrN/6Mq9fruu+++bL/99stKS0uzvn37Zj//+c/z7k/5mKG8vDz71re+lXXv3j1r3rx5tvfee2cXXnhhtmHDhtyYlOrbXm+oTi3bO3ZKyfTp07f6HvRRf/3rX7PDDjssKy0tzT72sY9lP/zhD6tsK6XjphT7R231ildeeSUbOXJk1qJFi6xDhw7Zt7/97ez999+v52qqZ0d6RTHXVxu9ohjff2qrTxRLbfXVJ6rzvro9JVmWZdU5owMAAAAAAKCQXFMDAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIglADAAAAAABIwv8HrL0S/7yOMacAAAAASUVORK5CYII=\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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NFi5cWOdNf21tbbz00ku5N58REX//+98j4p9vfvv37x8PPvhgrFmzJu+/qF588cW8x4yI+NKXvhSvvvpqPPfcc/Huu+9GRMSVV14ZCxcurPOcPvr8N/h4AHHnnXfGTjvtFHfddVfem/r6/vNq3333jf/+7/+Ogw8+OC699NL4whe+EFdeeWU89thjdcZuyje+8Y246qqroqKiok4QsMHAgQPjz3/+cxx++OH1Xjr+cU899VSUlpbG9ttvv1k1PPvss3H77bfHrFmz6j1hef755+Pvf/973HTTTbmb/kXERm883rZt2zrHevXq1Vu1TwAAmpfzjC0/z+jfv38899xzUVtbm3e1xscfe+DAgfHggw/GgQce2OAAaMPxfOGFFzZr/KJFi/KuRl+8eHHU1tbmjtfAgQMjy7IYMGBA3nHdmKeeeioiIu8Kn03Za6+96hy3j5+LDBw4MNauXVtn3MdtzXEDAJqOe2pQr/fffz/+8Ic/RIcOHXKXMm/Mhv+Er++P2IcffngUFxfHtddem/cf87feemusWrUqvvSlL0XEh29Ye/fuHTfccEPe5di///3v429/+1scc8wxdfZ9/fXX577Osiyuv/76aN++fRx++OEREXH00UfH+vXr88ZFRFx11VVRVFQUo0aNylvetWvXOPDAA2PEiBExYsSI6Nu37yaf96ZsOBYf/SzgJ554IubNm1dnbFVVVfzrv/5rHHfccXHhhRdu8WN/7Wtfi1dffTV69+4dw4cPr3fMySefHK+++mr893//d5117777blRXV+fm33rrrXjooYfiuOOO2+wafvCDH8SBBx640W3qOy5ZlsU111yz2Y/RFPsEAKAwnGds3XnG0UcfHRUVFXHHHXfkln3wwQdx3XXXRZcuXeLQQw+NiA/f969fvz4uu+yyOvv44IMP6vyj0Ef16tUrDjnkkLjxxhvrBEr13etk6tSpefPXXXddRETuOHz5y1+Otm3bxiWXXFJn+yzL4q233spbduedd8auu+5a56PFtsbJJ58c8+bNi/vvv7/OutWrV+eCtq05bgBA03GlBhHx4Zv6Df/d8/rrr8dtt90WixYtih/84Ad1PsZo4cKFMXv27KitrY2//vWvceWVV8b+++8fn/nMZ+rst0ePHnHhhRfGD3/4wxg5cmQcf/zx8dJLL8X1118fgwcPjjPOOCMiPvwc1Z/85Cdx2mmnxaGHHhpjxoyJVatWxTXXXBM77rhjfOc738nbb8eOHWP27NkxduzYGDp0aPz+97+P3/3ud/Ef//EfuUuCjz322DjssMPiggsuiGXLlsXgwYPjD3/4Q9xzzz1x7rnnxsCBAwtxKCPiw//Iuuuuu+KEE06IY445JpYuXRo33HBD7L777nX+I238+PHx7rvvxv/8z/9s1WNuu+22sXLlymjbtu1Gr8L413/91/j1r38d3/zmN+Ohhx6KAw88MNavXx8vvvhi/PrXv477778/9ttvv5g3b1784Ac/iHfffTd69eoVt9xyS24fG/5T7ZZbbokTTjgh77/H/vCHP2zyCpNBgwbFwIED47zzzotXX301unXrFv/3f/9X5z4YDVGIfQIA0DicZzSus846K37xi1/EuHHj4umnn44dd9wx7rzzznjsscfi6quvzl05cuihh8bZZ58dU6ZMiQULFsSRRx4Z7du3j0WLFsXMmTPjmmuuia985SsbfZxrr702DjrooPjc5z4XZ511VgwYMCCWLVsWv/vd72LBggV5Y5cuXRrHHXdcHHXUUTFv3ry45ZZb8j5ya+DAgXH55ZfHpEmTYtmyZTF69Ojo2rVrLF26NO6+++4466yz4rzzzouXXnoprrjiinjyySfjy1/+ct45yJ/+9KeI+PBq7B122KHOfU8+yfe+9734zW9+E1/60pdi3LhxMWTIkKiuro7nn38+7rzzzli2bFn07Nlzq48bANBEMj7Vpk+fnkVE3tSxY8dsn332yaZNm5bV1tbmxi5dujRvXJs2bbLtt98+Gzt2bPbKK69kWZZlkydPzup7WU2dOjUbNGhQ1r59+6xPnz7Z2Wefnb311lt1xt1xxx3ZvvvumxUXF2c9evTITjnllNy+Nxg7dmzWuXPnbMmSJdmRRx6ZbbPNNlmfPn2yyZMnZ+vXr88bu2bNmuw73/lOVlZWlrVv3z7bZZddsiuvvDLveW3M2LFjs/79+9d5/ldeeWWdsXvssUd26KGH5uZra2uz/+//+/+y/v37Z8XFxdm+++6b3XvvvXX2+atf/SorKirKZs+eXe9z/CT9+/fPjjnmmAatX7duXfaTn/wk22OPPbLi4uJs2223zYYMGZJdcsklWWVlZe7xP/66qG9aunRplmX//L4ff/zxeY/10EMPZRGRPfTQQ7llf/3rX7MRI0ZkXbp0yXr27JmdeeaZ2Z///OcsIrLp06d/4jGYOXPmFu8TAICm4Txj47bmPCPLsmzVqlXZaaedlvXs2TPr0KFDttdee230Pe9//dd/ZUOGDMk6deqUde3aNdtrr72y888/P3vttdc+sc4XXnghO+GEE7Lu3btnHTt2zHbdddfshz/8YW79hu/JX//61+wrX/lK1rVr12zbbbfNJkyYkL377rt19vd///d/2UEHHZR17tw569y5czZo0KBs/Pjx2cKFC7Msq/81U9+04bluONeYOXNmncfq3LlzNnbs2Lxla9asySZNmpTtvPPOWYcOHbKePXtmBxxwQPbTn/40W7duXaMdNwCg8IqyrJ7rR6EFGzduXNx55511rnig8YwbNy4iImbMmLHRMUVFRbF06dIG3UQcAABaKucZDXPxxRfHJZdcEm+88Ub07Nlzq/c3Y8aMuPjii3M3Cq/P8OHDY9y4cbnzFQDg08k9NQAAAAAAgCS4pwZQxwEHHPCJY0455ZTo0qVLE1QDAAC0dgMHDowTTjhhk2OOOOKIgt6zBABIg1ADqOOss876xDEfvXEfAADA1jj44IPj4IMP3uSYCy64oImqAQBaMvfUAAAAAAAAkuCeGgAAAAAAQBKEGgAAAAAAQBJaxT01amtr47XXXouuXbtGUVFRc5cDkLQsy2LNmjVRVlYWbdq0vuxbzwBoHPoFAJurNfcM/QKg8Wxuv2gVocZrr70W/fr1a+4yAFqVFStWxPbbb9/cZTQ6PQOgcekXAGyu1tgz9AuAxvdJ/aJVhBpdu3aNiA+fbLdu3Zq5GqhHdXVEWdmHX7/2WkTnzs1bD2xCVVVV9OvXL/e7tbXRMwAah34BtCZO2QqrNfcM/QKg8Wxuv2gVocaGy/u6deumgdAytW37z6+7dfMOmSS01kun9QyAxqVfAK2BU7am0Rp7hn4B0Pg+qV+0rg8yBAAAAAAAWi2hBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkAShBgAAAAAAkIQGhRpTpkyJ/fffP7p27Rq9e/eO0aNHx8KFC/PGvPfeezF+/PjYbrvtokuXLnHiiSfGqlWrNrnfLMvioosuir59+0anTp1ixIgRsWjRooY/GwBaBP0CAAAAgEJoUKgxd+7cGD9+fMyfPz8eeOCBeP/99+PII4+M6urq3JjvfOc78dvf/jZmzpwZc+fOjddeey2+/OUvb3K/V1xxRVx77bVxww03xBNPPBGdO3eOkSNHxnvvvbdlzwqAZqVfAAAAAFAIRVmWZVu68RtvvBG9e/eOuXPnxiGHHBKVlZXRq1evuO222+IrX/lKRES8+OKLsdtuu8W8efPiC1/4Qp19ZFkWZWVl8d3vfjfOO++8iIiorKyMPn36xIwZM+KrX/1qnW1qamqipqYmN19VVRX9+vWLysrK6Nat25Y+HSic6uqILl0+/Hrt2ojOnZu3HtiEqqqqKCkpadTfqc3VLyL0DIBCKUS/aEla+/MD8jllK6zW/Du1NT83gKa2ub9T223Ng1RWVkZERI8ePSIi4umnn473338/RowYkRszaNCg2GGHHTb6R6qlS5dGRUVF3jYlJSUxdOjQmDdvXr1/pJoyZUpccsklW1M6jaCovLy5S9iobPjw5i4B+Ijm6hcRekZL0VJ7hn4BAABAQ2w4v3U+2Xy2+EbhtbW1ce6558aBBx4Ye+65Z0REVFRURIcOHaJ79+55Y/v06RMVFRX17mfD8j59+mz2NpMmTYrKysrctGLFii19GgAUWHP2iwg9AwAAAKA12eIrNcaPHx8vvPBCPProo41Zz2YpLi6O4uLiJn9cABquOftFhJ4BAAAA0Jps0ZUaEyZMiHvvvTceeuih2H777XPLS0tLY926dbF69eq88atWrYrS0tJ697Vh+apVqzZ7GwDSoF8AAAAA0JgaFGpkWRYTJkyIu+++O/74xz/GgAED8tYPGTIk2rdvH3PmzMktW7hwYSxfvjyGDRtW7z4HDBgQpaWledtUVVXFE088sdFtAGjZ9AsAAAAACqFBocb48ePjlltuidtuuy26du0aFRUVUVFREe+++25EfHjD1tNPPz0mTpwYDz30UDz99NNx2mmnxbBhw/Ju+jpo0KC4++67IyKiqKgozj333Lj88svjN7/5TTz//PNx6qmnRllZWYwePbrxnikATUa/AAAAAKAQGnRPjWnTpkVExPCP3dl9+vTpMW7cuIiIuOqqq6JNmzZx4oknRk1NTYwcOTL+8z//M2/8woULo7KyMjd//vnnR3V1dZx11lmxevXqOOigg2L27NnRsWPHLXhKADQ3/QIAAAC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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ], | |
| "source": [ | |
| "est_samples = comparing_estimations(dist=stats.cauchy, params=(True, False), scope=(-10, 10), est=std_stats)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "c98HIHQ_0f2A" | |
| }, | |
| "source": [ | |
| "# Теоретическое дополнение\n", | |
| "\n", | |
| "## Теормин\n", | |
| "\n", | |
| "Оценка $\\widehat\\theta_n = \\widehat\\theta(X_1, \\dots, X_n)$ называется **состоятельной**, если $\\widehat\\theta_n \\stackrel{P}{\\to} \\theta$, то есть:\n", | |
| "\n", | |
| "$\\:\\:\\: \\lim\\limits_{n \\to \\infty} \\mathbb{P}(|\\widehat\\theta_n - \\theta| > \\varepsilon) = 0 \\:\\:\\: \\forall \\varepsilon > 0.$\n", | |
| "\n", | |
| "Cостоятельность означает, что с ростом размера выборки всё менее вероятны хоть сколько нибудь значимые отклонения оценки от истинного значения параметра.\n", | |
| "\n", | |
| "Оценка $\\widehat\\theta_n$ **асимптотически нормальна**, если $\\frac{\\widehat{\\theta}_n - \\theta}{\\sqrt{\\mathbb V \\widehat{\\theta}_n}} \\stackrel{D}{\\to} \\mathcal N(0,1)$, т.е.\n", | |
| "\n", | |
| "$\\:\\:\\: \\lim\\limits_{n\\to\\infty}\\mathbb P\\Big(\\frac{\\widehat{\\theta}_n - \\theta}{\\sqrt{\\mathbb V \\widehat{\\theta}_n}} \\leqslant z\\Big) = \\mathbb \\Phi(z).$\n", | |
| "\n", | |
| "## Состоятельность и асимптотическая нормальность $\\hat{\\theta}$:\n", | |
| "\n", | |
| "В условиях теоремы об асимптотической нормальности выборочной квантили выполнено:\n", | |
| "\n", | |
| "$ \\sqrt{n}(\\hat{\\mu} - z_{\\frac{1}{2}}) \\overset{d_{\\theta}}{\\longrightarrow} \\mathcal{N}(0, \\frac{p(1 - p)}{(F'(z_{\\frac{1}{2}}))^2})$\n", | |
| "\n", | |
| "Распределение Коши подходит под условия теоремы: плотность непрерывна и положительна в точке $\\theta$.\n", | |
| "\n", | |
| "Тогда $\\theta$ - это медиана распределения $\\implies$\n", | |
| "выборочная медиана будет асимптотически нормальной оценкой:\n", | |
| "\n", | |
| "$\\sqrt{n}(\\hat{\\mu} - z_{\\frac{1}{2}}) \\overset{d_{\\theta}}{\\longrightarrow} \\mathcal{N}(0, \\frac{1}{4p_{\\theta}^{2}(\\theta)}) = \\mathcal{N}(0, \\frac{\\pi^2}{4})$\n", | |
| "\n", | |
| "Если оценка асимптотически нормальная, то она состоятельная:\n", | |
| "\n", | |
| "$\\hat{\\theta_{n}}(X) - \\theta = \\frac{1}{\\sqrt{n}} \\sqrt{n}(\\hat{\\theta_{n}}(X) - \\theta) \\overset{d_{\\theta}}{\\longrightarrow} 0 * \\mathcal{N}(0, \\sigma^2(\\theta)) \\overset{Лемма \\: Слуцкого}{=} 0$\n", | |
| "\n", | |
| "Из сходимости по распределению к константе, следует сходимость по вероятности, а это и есть определение состоятельности.\n", | |
| "\n", | |
| "## Состоятельность и асимптотическая нормальность $\\overline{X}$:\n", | |
| "\n", | |
| "$X_j$ ~ $C(1, \\theta)$\n", | |
| "\n", | |
| "$\\varphi(X_j) = \\mathop{\\mathbb{E_{\\theta}}} e^{it X_j} = \\frac{1}{\\pi} \\int_{-\\infty}^{+\\infty} \\frac{e^{it x}}{1 + (x - \\theta)^2} dx = e^{i \\theta t - t}$\n", | |
| "\n", | |
| "[Подробный вывод](https://math.stackexchange.com/questions/846961/cauchy-distribution-characteristic-function)\n", | |
| "\n", | |
| "$\\varphi(\\overline{X}) = \\mathop{\\mathbb{E_{\\theta}}} e^{i\\frac{\\sum_j^n{X_j t}}{n}} = \\mathop{\\mathbb{E_{\\theta}}} e^{it\\frac{\\sum_j^n{\\theta}}{n} - \\frac{\\sum_j^n{t}}{n}} = e^{i \\theta t - t} = \\varphi({X_j}) \\implies X_j \\overset{d}{=} \\overline{X}$\n", | |
| "\n", | |
| "$F_{\\overline{X}}(X) = \\frac{1}{\\pi} \\arctan(x - \\theta) + \\frac{1}{2}$\n", | |
| "\n", | |
| "$\\mathbb{P_{\\overline{X}}}(|\\overline{X} - \\theta| \\geq \\varepsilon) = \\mathbb{P_{\\overline{X}}}(\\overline{X} - \\theta \\leq -\\varepsilon) + \\mathbb{P_{\\overline{X}}}(\\overline{X} - \\theta \\geq \\varepsilon) \\geq \\frac{1}{\\pi} \\arctan(-\\varepsilon) + \\frac{1}{2} ⟶ \\frac{1}{2} \\neq 0$\n", | |
| "\n", | |
| "Определение состоятельности не выполняется.\n", | |
| "\n", | |
| "Так как отсутствует состоятельность, а асимптотическая нормальность ее влечет, то оценка не асимптотически нормальна.\n", | |
| "\n", | |
| "# Вывод\n", | |
| "Выборочное среднее не является *состоятельной* оценкой, а, следовательно, выборочная медиана **лучше**." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "E14tfGWi3den" | |
| }, | |
| "source": [ | |
| "" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "a2-7QfrV8F0I", | |
| "outputId": "ec768826-da68-4488-8dbd-d298e38cff48" | |
| }, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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f/4qIf/8A26dPn3jkkUfigw8+yPtLqFdeeSXvmBERX/nKV+KNN96IF198MVasWBEREVdccUXMmTOn1pg+Pf41PhtA3HXXXbHDDjvE3XffnfeDeV1/PbX33nvHb3/72xg8eHBccsklsd9++8UVV1wRTz75ZK2263LKKafElVdeGeXl5bWCgDV23HHH+Nvf/haHHHJInbd/f9azzz4bJSUlse22225QH1544YW4/fbb4957763zouOll16Kf/3rX3HTTTflXtwXEWt98Xjr1q1rnetly5Zt0j4BAEiXa5SNv0bp06dPvPjii1FTU5N3t8Znj73jjjvGI488EgcccEC9A6A15/Pll1/eoPZz587Nu5N93rx5UVNTkztfO+64Y2RZFn379s07r2vz7LPPRkTk3eGzLnvssUet8/bZ65gdd9wxli9fXqvdZ23KeQMAmoZ3arQwq1atioceeijatWuXux15bdb8JXxdv8Q+5JBDorCwMK655pq8v5i/9dZbY8mSJfGVr3wlIj75obNHjx5xww035N1S/ac//Sn++c9/xpFHHllr39ddd13u31mWxXXXXRdt27aNQw45JCIijjjiiFi9enVeu4iIK6+8MgoKCmLEiBF5yzt16hQHHHBADBs2LIYNGxa9evVa57jXZc25+PTzfJ9++umYOXNmrbaVlZXxrW99K44++ug4//zzN/rY3/zmN+ONN96IHj16xNChQ+tsc8IJJ8Qbb7wRv/3tb2utW7FiRVRVVeXmly5dGo8++mgcffTRG9yHH/3oR3HAAQesdZu6zkuWZXH11Vdv8DE2xz4BAGh+XKNs2jXKEUccEeXl5XHHHXfkln388cdx7bXXRseOHWPIkCER8ck1w+rVq+PSSy+ttY+PP/641h8ZfVr37t3joIMOihtvvLFWoFTXu04mTpyYN3/ttddGROTOw1e/+tVo3bp1XHzxxbW2z7Isli5dmrfsrrvuil122aXWo8U2xQknnBAzZ86MP//5z7XWLVu2LBe0bcp5AwCahjs1EvenP/0p9xc6b7/9dtx2220xd+7c+NGPflTrMUZz5syJqVOnRk1NTfzjH/+IK664Ivbdd9/43Oc+V2u/Xbt2jfPPPz9+8pOfxPDhw+OYY46JV199Na677rro379/nHbaaRHxybNQf/7zn8fJJ58cQ4YMiVGjRsWSJUvi6quvju233z6+//3v5+23qKgopk6dGqNHj46BAwfGn/70p/jjH/8Y//Vf/5W7rfeoo46Kgw8+OH784x/HwoULo3///vHQQw/FfffdF+ecc07suOOOjXEqI+KTv6q6++6749hjj40jjzwyFixYEDfccEN84QtfqPVXZWPHjo0VK1bE//zP/2zSMbfeeut46623onXr1mu9C+Nb3/pW3HnnnfHtb387Hn300TjggANi9erV8corr8Sdd94Zf/7zn2OfffaJmTNnxo9+9KNYsWJFdO/ePW655ZbcPtb8tdktt9wSxx57bN5fgD300EPrvMOkX79+seOOO8a5554bb7zxRnTu3Dn+7//+r9Z7MOqjMfYJAEDTc43SsM4444z4zW9+E2PGjInnnnsutt9++7jrrrviySefjKuuuip358iQIUPizDPPjLKyspg9e3Ycdthh0bZt25g7d25MmTIlrr766jj++OPXepxrrrkmDjzwwPjiF78YZ5xxRvTt2zcWLlwYf/zjH2P27Nl5bRcsWBBHH310HH744TFz5sy45ZZb8h65teOOO8Zll10WEyZMiIULF8bIkSOjU6dOsWDBgrjnnnvijDPOiHPPPTdeffXVuPzyy+OZZ56Jr371q3nXL3/9618j4pM7ubfbbrta7z1Znx/84Adx//33x1e+8pUYM2ZMDBgwIKqqquKll16Ku+66KxYuXBjdunXb5PMGADSBjCRNmjQpi4i8qaioKNtrr72y66+/Pqupqcm1XbBgQV67Vq1aZdtuu202evTo7PXXX8+yLMsuvPDCrK4vh4kTJ2b9+vXL2rZtm/Xs2TM788wzs6VLl9Zqd8cdd2R77713VlhYmHXt2jU78cQTc/teY/To0VmHDh2y+fPnZ4cddli21VZbZT179swuvPDCbPXq1XltP/jgg+z73/9+VlpamrVt2zbbeeedsyuuuCJvXGszevTorE+fPrXGf8UVV9Rqu9tuu2VDhgzJzdfU1GT/7//9v6xPnz5ZYWFhtvfee2cPPPBArX3+/ve/zwoKCrKpU6fWOcb16dOnT3bkkUfWa/3KlSuzn//859luu+2WFRYWZltvvXU2YMCA7OKLL84qKipyx//s10Vd04IFC7Is+/fnfswxx+Qd69FHH80iInv00Udzy/7xj39kw4YNyzp27Jh169YtO/3007O//e1vWURkkyZNWu85mDJlykbvEwCA5s81ytptyjVKlmXZkiVLspNPPjnr1q1b1q5du2yPPfZY68/L//3f/50NGDAga9++fdapU6dsjz32yM4777zszTffXG8/X3755ezYY4/NunTpkhUVFWW77LJL9pOf/CS3fs1n8o9//CM7/vjjs06dOmVbb711Nm7cuGzFihW19vd///d/2YEHHph16NAh69ChQ9avX79s7Nix2Zw5c7Isq/trpq5pzVjXXKdMmTKl1rE6dOiQjR49Om/ZBx98kE2YMCHbaaedsnbt2mXdunXL9t9//+wXv/hFtnLlygY7bwDA5lWQZXXcSwqNYMyYMXHXXXfVuuOBhjNmzJiIiJg8efJa2xQUFMSCBQvq9RJxAABoiVyj1M9FF10UF198cbzzzjvRrVu3Td7f5MmT46KLLsq9KLwuQ4cOjTFjxuSudQAAvFMDAAAAAABIgndqQAuy//77r7fNiSeeGB07dtwMvQEAAFi7HXfcMY499th1tjn00EMb9Z0lAEB6hBrQgpxxxhnrbfPpl+8BAAA0lcGDB8fgwYPX2ebHP/7xZuoNAJAK79QAAAAAAACS4J0aAAAAAABAEoQaAAAAAABAEprdOzVqamrizTffjE6dOkVBQUFTdweg2cqyLD744IMoLS2NVq1k1J+lngCsn1qyfuoJwPqpJ+unngCs34bWk2YXarz55pvRu3fvpu4GQDIWL14c2267bVN3o9lRTwA2nFqyduoJwIZTT9ZOPQHYcOurJ80u1OjUqVNEfNLxzp07N3FvYANVVUWUln7y7zffjOjQoWn7wxahsrIyevfunfu+ST71BGD91JL1U09IjUsTmoJ6sn7qCcD6bWg9aXahxppb8Dp37uybPOlo3frf/+7c2ZUDm5Vbl+umngBsOLVk7dQTUuPShKaknqydegKw4dZXTzzoEAAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAAAAASIJQAwAAaHJlZWWx7777RqdOnaJHjx4xcuTImDNnTl6bjz76KMaOHRvbbLNNdOzYMY477rhYsmTJOvebZVlccMEF0atXr2jfvn0MGzYs5s6d25hDAaCJqCUAWwahBgAA0ORmzJgRY8eOjVmzZsXDDz8cq1atisMOOyyqqqpybb7//e/HH/7wh5gyZUrMmDEj3nzzzfjqV7+6zv1efvnlcc0118QNN9wQTz/9dHTo0CGGDx8eH330UWMPCYDNTC0B2DIUZFmWNXUnPq2ysjKKi4ujoqIiOnfu3NTdgQ1TVRXRseMn/16+PKJDh6btD1sE3y/XzfkBWL/m/L3ynXfeiR49esSMGTPioIMOioqKiujevXvcdtttcfzxx0dExCuvvBK77rprzJw5M/bbb79a+8iyLEpLS+M///M/49xzz42IiIqKiujZs2dMnjw5vvGNb9Taprq6Oqqrq3PzlZWV0bt372Z5jqAuLk1oCs21njRVLYlQTwA2xobWkzabsU+wxSuYPr2puxDZ0KFN3QUANpF6wpagoqIiIiK6du0aERHPPfdcrFq1KoYNG5Zr069fv9huu+3W+ouoBQsWRHl5ed42xcXFMXDgwJg5c2adv4gqKyuLiy++uKGHAw1urbVgRauIOCgiIjo+9lhE+5rN1ie1geamqWpJhHpCGprDdUVd1BPWx+OnAACAZqWmpibOOeecOOCAA2L33XePiIjy8vJo165ddOnSJa9tz549o7y8vM79rFnes2fPDd5mwoQJUVFRkZsWL168iaMBoCk0ZS2JUE8AGpM7NQAAgGZl7Nix8fLLL8cTTzyx2Y9dWFgYhYWFm/24ADSspqwlEeoJQGNypwYAANBsjBs3Lh544IF49NFHY9ttt80tLykpiZUrV8ayZcvy2i9ZsiRKSkrq3Nea5UuWLNngbQBIn1oC0LIJNQAAgCaXZVmMGzcu7rnnnvjLX/4Sffv2zVs/YMCAaNu2bUybNi23bM6cObFo0aIYNGhQnfvs27dvlJSU5G1TWVkZTz/99Fq3ASBdagnAlkGoAQAANLmxY8fGLbfcErfddlt06tQpysvLo7y8PFasWBERn7yU9dRTT43x48fHo48+Gs8991ycfPLJMWjQoLwXu/br1y/uueeeiIgoKCiIc845Jy677LK4//7746WXXoqTTjopSktLY+TIkU0xTAAakVoCsGXwTg0AAKDJXX/99RERMXTo0LzlkyZNijFjxkRExJVXXhmtWrWK4447Lqqrq2P48OHx61//Oq/9nDlzoqKiIjd/3nnnRVVVVZxxxhmxbNmyOPDAA2Pq1KlRVFTUqOMBYPNTSwC2DAVZlmVN3YlPq6ysjOLi4qioqIjOnTs3dXdgw1RVRXTs+Mm/ly+P6NChzmYF06dvvj6tRfaZH+5Il++X6+b80JKpJzQU3yvXzzmiuVprLVjRKuKIgz7594OPRbSv2Wx9Uhu2XL5Xrp9zRHPUHK4r6qKebLk29Hulx08BAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJEGoAAAAAAABJaNPUHQAAAIDmqmD69KbuAgAtgHoCDaded2qUlZXFvvvuG506dYoePXrEyJEjY86cOXlthg4dGgUFBXnTt7/97QbtNABpU08AAAAA2Bj1CjVmzJgRY8eOjVmzZsXDDz8cq1atisMOOyyqqqry2p1++unx1ltv5abLL7+8QTsNQNrUEwAAAAA2Rr0ePzV16tS8+cmTJ0ePHj3iueeei4MOOii3fKuttoqSkpKG6SEALY56AgAAAMDG2KQXhVdUVERERNeuXfOW33rrrdGtW7fYfffdY8KECfHhhx+udR/V1dVRWVmZNwGwZVFPAAAAANgQG/2i8JqamjjnnHPigAMOiN133z23/Jvf/Gb06dMnSktL48UXX4wf/vCHMWfOnLj77rvr3E9ZWVlcfPHFG9sNABKnngAAAACwoTY61Bg7dmy8/PLL8cQTT+QtP+OMM3L/3mOPPaJXr15xyCGHxPz582PHHXestZ8JEybE+PHjc/OVlZXRu3fvje0WAIlRTwAAAADYUBsVaowbNy4eeOCBeOyxx2LbbbddZ9uBAwdGRMS8efPq/CVUYWFhFBYWbkw3AEicegIAAABAfdQr1MiyLM4666y45557Yvr06dG3b9/1bjN79uyIiOjVq9dGdRCAlkc9AQAAAGBj1CvUGDt2bNx2221x3333RadOnaK8vDwiIoqLi6N9+/Yxf/78uO222+KII46IbbbZJl588cX4/ve/HwcddFDsueeejTIAANKjngAAAACwMeoValx//fURETF06NC85ZMmTYoxY8ZEu3bt4pFHHomrrroqqqqqonfv3nHcccfF+eef32AdBiB96gkAAAAAG6Pej59al969e8eMGTM2qUMAtHzqCQAAAAAbo1VTdwAAAAAAAGBDCDUAAAAAAIAkCDUAAIAm99hjj8VRRx0VpaWlUVBQEPfee2/e+oKCgjqnK664Yq37vOiii2q179evXyOPBICmpJ4AtHxCDQAAoMlVVVVF//79Y+LEiXWuf+utt/KmG2+8MQoKCuK4445b53532223vO2eeOKJxug+AM2EegLQ8tXrReEAAACNYcSIETFixIi1ri8pKcmbv+++++Lggw+OHXbYYZ37bdOmTa1t16W6ujqqq6tz85WVlRu8LQBNTz0BaPncqQEAACRlyZIl8cc//jFOPfXU9badO3dulJaWxg477BAnnnhiLFq0aJ3ty8rKori4ODf17t27oboNQDOjngCkSagBAAAk5aabbopOnTrFV7/61XW2GzhwYEyePDmmTp0a119/fSxYsCAGDx4cH3zwwVq3mTBhQlRUVOSmxYsXN3T3AWgm1BOANHn8FAAAkJQbb7wxTjzxxCgqKlpnu08/fmTPPfeMgQMHRp8+feLOO+9c61/lFhYWRmFhYYP2F4DmST0BSJNQAwAASMbjjz8ec+bMiTvuuKPe23bp0iU+//nPx7x58xqhZwCkRD0BSJfHTwEAAMn43e9+FwMGDIj+/fvXe9vly5fH/Pnzo1evXo3QMwBSop4ApEuoAQAANLnly5fH7NmzY/bs2RERsWDBgpg9e3bei1grKytjypQpcdppp9W5j0MOOSSuu+663Py5554bM2bMiIULF8ZTTz0Vxx57bLRu3TpGjRrVqGMBoOmoJwAtn8dPAQAATe7ZZ5+Ngw8+ODc/fvz4iIgYPXp0TJ48OSIibr/99siybK2/RJo/f368++67ufnXX389Ro0aFUuXLo3u3bvHgQceGLNmzYru3bs33kAAaFLqCUDLJ9QAAACa3NChQyPLsnW2OeOMM+KMM85Y6/qFCxfmzd9+++0N0TUAEqKeALR8Hj8FAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkQagBAAAAAAAkoU1TdwAAAABIX8H06U3dhTplQ4c2dRcAqAf1hPVxpwYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAAAAAAJAEoQYAANDkHnvssTjqqKOitLQ0CgoK4t57781bP2bMmCgoKMibDj/88PXud+LEibH99ttHUVFRDBw4MJ555plGGgEAzYF6AtDyCTUAAIAmV1VVFf3794+JEyeutc3hhx8eb731Vm76/e9/v8593nHHHTF+/Pi48MIL4/nnn4/+/fvH8OHD4+23327o7gPQTKgnAC1fm6buAAAAwIgRI2LEiBHrbFNYWBglJSUbvM9f/epXcfrpp8fJJ58cERE33HBD/PGPf4wbb7wxfvSjH9W5TXV1dVRXV+fmKysrN/h4ADQ99QSg5XOnBgAAkITp06dHjx49YpdddonvfOc7sXTp0rW2XblyZTz33HMxbNiw3LJWrVrFsGHDYubMmWvdrqysLIqLi3NT7969G3QMADQ99QQgbUINAACg2Tv88MPj5ptvjmnTpsXPf/7zmDFjRowYMSJWr15dZ/t33303Vq9eHT179sxb3rNnzygvL1/rcSZMmBAVFRW5afHixQ06DgCalnoCkD6PnwIAAJq9b3zjG7l/77HHHrHnnnvGjjvuGNOnT49DDjmkwY5TWFgYhYWFDbY/AJoX9QQgfe7UAAAAkrPDDjtEt27dYt68eXWu79atW7Ru3TqWLFmSt3zJkiX1eo46AC2begKQHqEGAACQnNdffz2WLl0avXr1qnN9u3btYsCAATFt2rTcspqampg2bVoMGjRoc3UTgGZOPQFIj1ADAABocsuXL4/Zs2fH7NmzIyJiwYIFMXv27Fi0aFEsX748fvCDH8SsWbNi4cKFMW3atDjmmGNip512iuHDh+f2ccghh8R1112Xmx8/fnz89re/jZtuuin++c9/xne+852oqqqKk08+eXMPD4DNRD0BaPm8UwMAAGhyzz77bBx88MG5+fHjx0dExOjRo+P666+PF198MW666aZYtmxZlJaWxmGHHRaXXnpp3vPK58+fH++++25u/utf/3q88847ccEFF0R5eXnstddeMXXq1FovewWg5VBPAFo+oQYAANDkhg4dGlmWrXX9n//85/XuY+HChbWWjRs3LsaNG7cpXQMgIeoJQMvn8VMAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAS6hVqlJWVxb777hudOnWKHj16xMiRI2POnDl5bT766KMYO3ZsbLPNNtGxY8c47rjjYsmSJQ3aaQDSpp4AAAAAsDHqFWrMmDEjxo4dG7NmzYqHH344Vq1aFYcddlhUVVXl2nz/+9+PP/zhDzFlypSYMWNGvPnmm/HVr361wTsOQLrUEwAAAAA2Rpv6NJ46dWre/OTJk6NHjx7x3HPPxUEHHRQVFRXxu9/9Lm677bb48pe/HBERkyZNil133TVmzZoV++23X8P1HIBkqScAAAAAbIxNeqdGRUVFRER07do1IiKee+65WLVqVQwbNizXpl+/frHddtvFzJkz69xHdXV1VFZW5k0AbFnUEwAAAAA2xEaHGjU1NXHOOefEAQccELvvvntERJSXl0e7du2iS5cueW179uwZ5eXlde6nrKwsiouLc1Pv3r03tksAJEg9AQAAAGBDbXSoMXbs2Hj55Zfj9ttv36QOTJgwISoqKnLT4sWLN2l/AKRFPQEAAABgQ9XrnRprjBs3Lh544IF47LHHYtttt80tLykpiZUrV8ayZcvy/rp2yZIlUVJSUue+CgsLo7CwcGO6AUDi1BMAAAAA6qNed2pkWRbjxo2Le+65J/7yl79E375989YPGDAg2rZtG9OmTcstmzNnTixatCgGDRrUMD0GIHnqCQAAAAAbo153aowdOzZuu+22uO+++6JTp06555oXFxdH+/bto7i4OE499dQYP358dO3aNTp37hxnnXVWDBo0KPbbb79GGQAA6VFPAAAAANgY9Qo1rr/++oiIGDp0aN7ySZMmxZgxYyIi4sorr4xWrVrFcccdF9XV1TF8+PD49a9/3SCdBaBlUE8AAAAA2Bj1CjWyLFtvm6Kiopg4cWJMnDhxozsFQMumngAAAACwMer1Tg0AAAAAAICmItQAAAAAAACSINQAAAAAAACSUK93agAAAEBjKJg+vam7QAvVXL+2sqFDm7oL0CI11//zpK85fm1tqbXEnRoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAAAAAEAShBoAAECTe+yxx+Koo46K0tLSKCgoiHvvvTe3btWqVfHDH/4w9thjj+jQoUOUlpbGSSedFG+++eY693nRRRdFQUFB3tSvX79GHgkATUk9AWj5hBoAAECTq6qqiv79+8fEiRNrrfvwww/j+eefj5/85Cfx/PPPx9133x1z5syJo48+er373W233eKtt97KTU888URjdB+AZkI9AWj52jR1BwAAAEaMGBEjRoyoc11xcXE8/PDDecuuu+66+NKXvhSLFi2K7bbbbq37bdOmTZSUlGxwP6qrq6O6ujo3X1lZucHbAtD01BOAls+dGgAAQHIqKiqioKAgunTpss52c+fOjdLS0thhhx3ixBNPjEWLFq2zfVlZWRQXF+em3r17N2CvAWhu1BOA9Ag1AACApHz00Ufxwx/+MEaNGhWdO3dea7uBAwfG5MmTY+rUqXH99dfHggULYvDgwfHBBx+sdZsJEyZERUVFblq8eHFjDAGAZkA9AUiTx08BAADJWLVqVZxwwgmRZVlcf/3162z76ceP7LnnnjFw4MDo06dP3HnnnXHqqafWuU1hYWEUFhY2aJ8BaH7UE4B0CTUAAIAkrPkF1GuvvRZ/+ctf1vlXtXXp0qVLfP7zn4958+Y1Ug8BSIF6ApA2j58CAACavTW/gJo7d2488sgjsc0229R7H8uXL4/58+dHr169GqGHAKRAPQFIn1ADAABocsuXL4/Zs2fH7NmzIyJiwYIFMXv27Fi0aFGsWrUqjj/++Hj22Wfj1ltvjdWrV0d5eXmUl5fHypUrc/s45JBD4rrrrsvNn3vuuTFjxoxYuHBhPPXUU3HsscdG69atY9SoUZt7eABsJuoJQMvn8VMAAECTe/bZZ+Pggw/OzY8fPz4iIkaPHh0XXXRR3H///RERsddee+Vt9+ijj8bQoUMjImL+/Pnx7rvv5ta9/vrrMWrUqFi6dGl07949DjzwwJg1a1Z07969cQcDQJNRTwBaPqEGAADQ5IYOHRpZlq11/brWrbFw4cK8+dtvv31TuwVAYtQTgJbP46cAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAkCDUAAAAAAIAktGnqDgAAALB5FUyf3tRdACBxagnQVNypAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJEGoAQAAAAAAJKHeocZjjz0WRx11VJSWlkZBQUHce++9eevHjBkTBQUFedPhhx/eUP0FoAVQSwAAAADYGPUONaqqqqJ///4xceLEtbY5/PDD46233spNv//97zepkwC0LGoJAAAAABujTX03GDFiRIwYMWKdbQoLC6OkpGSD9lddXR3V1dW5+crKyvp2CYDENHQtiVBPAAAAALYEjfJOjenTp0ePHj1il112ie985zuxdOnStbYtKyuL4uLi3NS7d+/G6BIAialPLYlQTwAAAAC2BA0eahx++OFx8803x7Rp0+LnP/95zJgxI0aMGBGrV6+us/2ECROioqIiNy1evLihuwRAYupbSyLUEwAAAIAtQb0fP7U+3/jGN3L/3mOPPWLPPfeMHXfcMaZPnx6HHHJIrfaFhYVRWFjY0N0AIGH1rSUR6gkAAADAlqBRHj/1aTvssEN069Yt5s2b19iHAqCFUksAAAAAiNgMocbrr78eS5cujV69ejX2oQBoodQSAAAAACI24vFTy5cvz/tL2QULFsTs2bOja9eu0bVr17j44ovjuOOOi5KSkpg/f36cd955sdNOO8Xw4cMbtOMApEstAQAAAGBj1DvUePbZZ+Pggw/OzY8fPz4iIkaPHh3XX399vPjii3HTTTfFsmXLorS0NA477LC49NJLPeccgBy1BAAAAICNUe9QY+jQoZFl2VrX//nPf96kDgHQ8qklAAAAAGyMRn+nBgAAAAAAQEMQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAAAAAEkQagAAAE3usccei6OOOipKS0ujoKAg7r333rz1WZbFBRdcEL169Yr27dvHsGHDYu7cuevd78SJE2P77bePoqKiGDhwYDzzzDONNAIAmgP1BKDlE2oAAABNrqqqKvr37x8TJ06sc/3ll18e11xzTdxwww3x9NNPR4cOHWL48OHx0UcfrXWfd9xxR4wfPz4uvPDCeP7556N///4xfPjwePvttxtrGAA0MfUEoOUTagAAAE1uxIgRcdlll8Wxxx5ba12WZXHVVVfF+eefH8ccc0zsueeecfPNN8ebb75Z6y9wP+1Xv/pVnH766XHyySfHF77whbjhhhtiq622ihtvvLERRwJAU1JPAFo+oQYAANCsLViwIMrLy2PYsGG5ZcXFxTFw4MCYOXNmndusXLkynnvuubxtWrVqFcOGDVvrNhER1dXVUVlZmTcB0DKoJwAtQ5um7gCNp2D69KbuwhZjqxUrour//3eHxx6LD9u3b9L+ADQk9QRoauXl5RER0bNnz7zlPXv2zK37rHfffTdWr15d5zavvPLKWo9VVlYWF1988Sb2GIDmSD0BaBncqQEAAPD/mzBhQlRUVOSmxYsXN3WXAEiQegLQeIQaAABAs1ZSUhIREUuWLMlbvmTJkty6z+rWrVu0bt26XttERBQWFkbnzp3zJgBaBvUEoGUQagAAAM1a3759o6SkJKZNm5ZbVllZGU8//XQMGjSozm3atWsXAwYMyNumpqYmpk2bttZtAGjZ1BOAlsE7NQAAgCa3fPnymDdvXm5+wYIFMXv27OjatWtst912cc4558Rll10WO++8c/Tt2zd+8pOfRGlpaYwcOTK3zSGHHBLHHntsjBs3LiIixo8fH6NHj4599tknvvSlL8VVV10VVVVVcfLJJ2/u4QGwmagnAC2fUAMAAGhyzz77bBx88MG5+fHjx0dExOjRo2Py5Mlx3nnnRVVVVZxxxhmxbNmyOPDAA2Pq1KlRVFSU22b+/Pnx7rvv5ua//vWvxzvvvBM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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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| |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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| |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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ANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANgQbAAAAAABANuo92DjvvPOioqKiaNp2223r+2kA2EjoGwAAAADURYtSLHT77beP++677/+epEVJngaAjYS+AQAAAMC6Ksl/jlq0aBHV1dXrNHbJkiWxZMmSwu0FCxaUoiQAGrG69I0IvQMAAACgKSvJd2xMnz49evToEVtttVUce+yx8dprr61x7JgxY6Kqqqow9ezZsxQlAdCI1aVvROgdAAAAAE1ZvQcb/fv3j/Hjx8fEiRPjmmuuiVmzZsXee+8dCxcuXO34UaNGxfz58wvT66+/Xt8lAdCI1bVvROgdAAAAAE1ZvV+KaujQoYWfd9ppp+jfv3/06tUrbrnlljj++ONrja+srIzKysr6LgOATNS1b0ToHQAAAABNWUkuRbWyjh07xqc//emYMWNGqZ8KgI2AvgEAAADAJyl5sPH+++/HzJkzo3v37qV+KgA2AvoGAAAAAJ+k3oON73//+zF58uR49dVX47HHHosjjjgimjdvHsOGDavvpwJgI6BvAAAAAFAX9f4dG2+88UYMGzYs5s6dG126dIkvfOEL8fjjj0eXLl3q+6kA2AjoGwAAAADURb0HGzfffHN9LxKAjZi+AQAAAEBdlPw7NgAAAAAAAOqLYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAAAAAMiGYAMAAMjGeeedFxUVFUXTtttuW+6yAGjE9A6AjU+LchcAAABQF9tvv33cd999hdstWjisAeCT6R0AGxfv4gAAQFZatGgR1dXV5S4DgIzoHQAbF5eiAgAAsjJ9+vTo0aNHbLXVVnHsscfGa6+99onjlyxZEgsWLCiaAGha6tI79A2Axk+wAQAAZKN///4xfvz4mDhxYlxzzTUxa9as2HvvvWPhwoVrfMyYMWOiqqqqMPXs2bMBKwag3OraO/QNgMZPsAEAAGRj6NCh8ZWvfCV22mmnGDx4cNx5550xb968uOWWW9b4mFGjRsX8+fML0+uvv96AFQNQbnXtHfoGQOPnOzYAAIBsdezYMT796U/HjBkz1jimsrIyKisrG7AqABqztfUOfQOg8XPGBgAAkK33338/Zs6cGd27dy93KQBkQu8AyJ9gAwAAyMb3v//9mDx5crz66qvx2GOPxRFHHBHNmzePYcOGlbs0ABopvQNg4+NSVAAAQDbeeOONGDZsWMydOze6dOkSX/jCF+Lxxx+PLl26lLs0ABopvQNg4yPYAAAAsnHzzTeXuwQAMqN3AGx8XIoKAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIhmADAAAAAADIRotyF1AKFZMmlbsEYCPS2N9T0sCB5S4he439bwzkpbG/p+gbAABA7pyxAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZEOwAQAAAAAAZKNFuQsAAAAAYPUqJk0q6/OngQPL+vwA1F05e0dD9Q1nbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANkQbAAAAAAAANloUe4CAAAAclMxaVK5SwAgI/oGQP1yxgYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJANwQYAAAAAAJCNkgUbY8eOjS233DJat24d/fv3jyeffLJUTwXARkDfAKAu9A0A6kLfANi4lCTY+P3vfx9nnHFGjB49Ov7+979Hv379YvDgwfHOO++U4ukAyJy+AUBd6BsA1IW+AbDxaVGKhf73f/93nHDCCXHcccdFRMS1114bf/3rX+M3v/lN/PCHPywau2TJkliyZEnh9vz58yMiYsGCBetfwKJF6/9YWI304YexYotMixdH1NSUtR5Y2fq+X654XEqpPstZL3XpGxEl6B36BtCEbMh+dmPpHWXvGxF6B43Dh80iVhypLF7kOIWS0Df0DYC6aLC+kerZkiVLUvPmzdNtt91WNP/rX/96OvTQQ2uNHz16dIoIk8lkMpVpev311+u7FdRJXftGSnqHyWQylXsqZ+/QN0wmkym/Sd8wmUwmU12mdekb9X7GxrvvvhvLly+Pbt26Fc3v1q1bvPzyy7XGjxo1Ks4444zC7Zqamnjvvfdis802i4qKivour14sWLAgevbsGa+//np06NCh3OXUidrLQ+0NL9e6Ixqu9pRSLFy4MHr06FGy51gXde0bEeXrHbarhpdr3RH51p5r3RFqbwiNoXc0hr6Ry99rZTnWHKHuhpRjzRF51p1jzRHrV7e+UR45bmM51hyRZ91qbjg51l3umuvSN0pyKaq6qKysjMrKyqJ5HTt2LE8xddShQ4dsNspVqb081N7wcq07omFqr6qqKunyS6XcvcN21fByrTsi39pzrTtC7aWWY+8oVd/I4e+1qhxrjlB3Q8qx5og8686x5oi6161vlE+O21iONUfkWbeaG06OdZez5nXtG/X+5eGdO3eO5s2bx5w5c4rmz5kzJ6qrq+v76QDInL4BQF3oGwDUhb4BsHGq92CjVatWseuuu8b9999fmFdTUxP3339/7LHHHvX9dABkTt8AoC70DQDqQt8A2DiV5FJUZ5xxRgwfPjw+97nPxW677RZXXHFFLFq0KI477rhSPF2Dq6ysjNGjR9c6LTEHai8PtTe8XOuOyLv29ZVL38j5b5Nr7bnWHZFv7bnWHaH2pqTcfSPHv1eONUeouyHlWHNEnnXnWHNEvnVHlL9vNLQc/1Y51hyRZ91qbjg51p1TzRUppVSKBf/85z+PSy+9NGbPnh0777xzXHXVVdG/f/9SPBUAGwF9A4C60DcAqAt9A2DjUrJgAwAAAAAAoL7V+3dsAAAAAAAAlIpgAwAAAAAAyIZgAwAAAAAAyIZgAwAAAAAAyEaTDzZeffXVOP7446N3797Rpk2b6NOnT4wePTqWLl26To9PKcXQoUOjoqIibr/99sL88ePHR0VFxWqnd955JyIiJk2atNr7Z8+eXdbaI2K1dd18881FYyZNmhSf/exno7KyMrbeeusYP378Oj1vKWt/7rnnYtiwYdGzZ89o06ZNbLfddnHllVfWqruxrvfXXnstDjrooNhkk02ia9euceaZZ8ayZctq1d/Q6/2kk06KPn36RJs2baJLly5x2GGHxcsvv1y4v9Tbe6nqjmi82/raam+Ibb0peu+99+LYY4+NDh06RMeOHeP444+P999/f43jX3311TVu+xMmTCiMW5ftrKFrj4gYOHBgrbq+9a1vFY1Zl/elhq79vffei1NOOSW22WabaNOmTWyxxRZx6qmnxvz584vG1fd6Hzt2bGy55ZbRunXr6N+/fzz55JOfOH7ChAmx7bbbRuvWrWPHHXeMO++8s+j+lFKce+650b1792jTpk0MGjQopk+fvt711Vftv/rVr2LvvfeOTTfdNDbddNMYNGhQrfEjRoyotW6HDBlS9tpX149at25dNKah1ntd6l7da7GioiIOOuigwpiGXOdNXSn39f72t7/F/vvvHx07doxNN900Bg8eHM8991yjrzvi49fXTjvtFK1bt46uXbvGyJEjG33NERFz586NzTffPCoqKmLevHkbXHMp616X/bvGVnNEafcVSnkcUKrXYylrjijNa7Eh6o4ozeuR/7M+xwMREVOmTIn99tsv2rZtGx06dIh99tknPvjggwaoeP1rjli3HlAKpTp2qW/1fezSEOr7mKUh1HU9r3DzzTdHRUVFHH744aUtcA3qWve8efNi5MiR0b1796isrIxPf/rTZdlGaklN3F133ZVGjBiR7r777jRz5sx0xx13pK5du6bvfe976/T4//7v/05Dhw5NEZFuu+22wvzFixent99+u2gaPHhwGjBgQGHMgw8+mCIiTZs2rWjc8uXLy1p7SilFRBo3blxRXR988EHh/ldeeSVtsskm6Ywzzkgvvvhiuvrqq1Pz5s3TxIkTy1r7ddddl0499dQ0adKkNHPmzPS///u/qU2bNunqq68ujGms633ZsmVphx12SIMGDUrPPPNMuvPOO1Pnzp3TqFGjCmPKtd5/+ctfpsmTJ6dZs2alp59+Oh1yyCGpZ8+eadmyZSml0m/vpao7pca7ra+t9obY1puiIUOGpH79+qXHH388Pfzww2nrrbdOw4YNW+P4ZcuW1dr2zz///NSuXbu0cOHCwri1bWflqD2llAYMGJBOOOGEorrmz59f9Put7X2pHLVPnTo1felLX0p/+tOf0owZM9L999+f+vbtm4488siicfW53m+++ebUqlWr9Jvf/Cb94x//SCeccELq2LFjmjNnzmrHP/roo6l58+bpkksuSS+++GI6++yzU8uWLdPUqVMLY37605+mqqqqdPvtt6fnnnsuHXrooal37971vm3UtfZjjjkmjR07Nj3zzDPppZdeSiNGjEhVVVXpjTfeKIwZPnx4GjJkSNG6fe+99+q17vWpfdy4calDhw5Fdc2ePbtoTEOs97rWPXfu3KKaX3jhhdS8efM0bty4wpiGWueUbl9v4cKFqVOnTmnEiBHp5ZdfTi+88EI68sgjU7du3dLSpUsbbd0ppfSzn/0s9ejRI914441pxowZ6bnnnkt33HFHo655hcMOO6ww5j//+c8G11zKutdl/66x1VzqfYVS7UuX8vVYymOXUr0WS133CqV4PfJ/1ud44LHHHksdOnRIY8aMSS+88EJ6+eWX0+9///v04YcfNtqaV1iXHlAKpTp2qU+lOHYptVIcszS2mleYNWtW+tSnPpX23nvvdNhhhzVMsSupa91LlixJn/vc59IXv/jF9Mgjj6RZs2alSZMmpWeffbaBK6+tyQcbq3PJJZek3r17r3XcM888kz71qU+lt99+e61vpO+8805q2bJluv766wvzVvzTsT4ben3Vvrbf56yzzkrbb7990bz/+q//SoMHD16fslNKpVnvKaX0ne98J+27776F2411vd95552pWbNmRf+Aueaaa1KHDh3SkiVLUkrlXe8re+6551JEpBkzZqz2/obY3uur7sa8ra9sbes8pYbZ1jdmL774YoqI9Le//a0w76677koVFRXpzTffXOfl7Lzzzukb3/hG0bxS72yvb+0DBgxI3/3ud9d4/7q8L5Wr9lXdcsstqVWrVumjjz4qzKvP9b7bbrulkSNHFm4vX7489ejRI40ZM2a144866qh00EEHFc3r379/Oumkk1JKKdXU1KTq6up06aWXFu6fN29eqqysTL/73e/qpeb1rX1Vy5YtS+3bt0+//e1vC/OGDx/eIDvhda193Lhxqaqqao3La6j1vqHr/PLLL0/t27dP77//fmFeQ61zVq8+9vX+9re/pYhIr732WmHe888/nyIiTZ8+vRRl10vd7733XmrTpk267777SlLjqurzmOAXv/hFGjBgQLr//vtLvk/UUMcy9amhjmHqW33sSzf067E+am7o12JK9Xvc0pCvx6Zoffep+/fvn84+++yGKLGWDTkOqOt7aX0p5bFLfarvY5eGUIpjllJbn5qXLVuW9txzz/TrX/+6bPv3da37mmuuSVtttVW9fBCnvjX5S1Gtzvz586NTp06fOGbx4sVxzDHHxNixY6O6unqty7z++utjk002iS9/+cu17tt5552je/fuccABB8Sjjz663nVH1G/tI0eOjM6dO8duu+0Wv/nNbyKlVLhvypQpMWjQoKLxgwcPjilTpjSK2tdluY1tvU+ZMiV23HHH6NatW2He4MGDY8GCBfGPf/yjMKYc631lixYtinHjxkXv3r2jZ8+eqx3TENt7fdbdGLf1da19XZZbn9v6xmzKlCnRsWPH+NznPleYN2jQoGjWrFk88cQT67SMp59+Op599tk4/vjja933SdtZOWu/8cYbo3PnzrHDDjvEqFGjYvHixUXLXdv7UjlrX9n8+fOjQ4cO0aJFi6L59bHely5dGk8//XTRe0GzZs1i0KBBa3wvWNt7x6xZs2L27NlFY6qqqqJ///4b9P5SH7WvavHixfHRRx/Ven+ZNGlSdO3aNbbZZpv49re/HXPnzq23ujek9vfffz969eoVPXv2jMMOO6xoW22I9V4f6/y6666Lo48+Otq2bVs0v9TrnDWrj329bbbZJjbbbLO47rrrYunSpfHBBx/EddddF9ttt11sueWWjbbue++9N2pqauLNN9+M7bbbLjbffPM46qij4vXXX2+0NUdEvPjii3HBBRfE9ddfH82alf6wt6GPZepDQx3D1Lf62Jdu6NdjfdTc0K/FiPo7bmno12NTtD771O+880488cQT0bVr19hzzz2jW7duMWDAgHjkkUcabc0R6/deWl9KfexSH0px7FJqpTxmKZX1rfmCCy6Irl27rvZ/Bg1hfer+05/+FHvssUeMHDkyunXrFjvssEP85Cc/ieXLlzdU2Wuko6xixowZcfXVV8dJJ530ieNOP/302HPPPeOwww5bp+Ved911ccwxx0SbNm0K87p37x7XXntt/OEPf4g//OEP0bNnzxg4cGD8/e9/L3vtF1xwQdxyyy1x7733xpFHHhnf+c534uqrry7cP3v27KKd14iIbt26xYIFC9brWoylWu+PPfZY/P73v48TTzyxMK+xrvc1rdMV933SmFKv94iIX/ziF9GuXbto165d3HXXXXHvvfdGq1atVju21Nt7fdbdWLf1dal9ZQ2xrW/sZs+eHV27di2a16JFi+jUqdM6fy/JigPiPffcs2j+2razctV+zDHHxA033BAPPvhgjBo1Kv73f/83vvrVrxYtd23vS+WqfWXvvvtuXHjhhUXbf0T9rfd33303li9fvtp1saYa17TuVn4/XzFvXZe5Ptan9lX94Ac/iB49ehTt/A4ZMiSuv/76uP/+++Piiy+OyZMnx9ChQ+t153Z9at9mm23iN7/5Tdxxxx1xww03RE1NTey5557xxhtvRETDrPcNXedPPvlkvPDCC/HNb36zaH5DrHNWr7729dq3bx+TJk2KG264Idq0aRPt2rWLiRMnxl133VWSf2zUV92vvPJK1NTUxE9+8pO44oor4tZbb4333nsvDjjggHX+foaGrnnJkiUxbNiwuPTSS2OLLbao1xpXpyGPZepLQx7D1Kf62pduyNdjfdXckK/F+qy7oV+PTdX67FO/8sorERFx3nnnxQknnBATJ06Mz372s7H//vuX7HvfNrTmiLq/l9anUh671JdSHLuUWqmOWUppfWp+5JFH4rrrrotf/epXDVHiaq1P3a+88krceuutsXz58rjzzjvjnHPOiZ/97Gdx0UUXNUTJn6y8J4yUzg9+8IMUEZ84vfTSS0WPeeONN1KfPn3S8ccf/4nLvuOOO9LWW29d6/rpazr17bHHHksRkZ566qm11r3PPvuk7bffvtHUvsI555yTNt9888Ltvn37pp/85CdFY/7617+ute6GrH3q1Kmpc+fO6cILL/zE5abUONb7CSeckA488MCixy1atChFRLrzzjtTSuVZ7yvMmzcv/fOf/0yTJ09OhxxySPrsZz+72uuR12V779mzZ6Ope4XGsK3Xtfa6butf/epX1+n5Nxbr2g9+/OMfp09/+tO1Ht+lS5f0i1/8Yq3Ps3jx4lRVVZUuu+yytY5ddTsrd+0rrLg0wIpLB6zL+1K5a58/f37abbfd0pAhQ9Z6auy6rvdVvfnmmyki0mOPPVY0/8wzz0y77bbbah/TsmXLdNNNNxXNGzt2bOratWtK6ePr2EZEeuutt4rGfOUrX0lHHXVUnWusz9pXNmbMmLTpppum55577hPHzZw5M0VEvV4eY0NrTymlpUuXpj59+hQusdAQ631D6z7xxBPTjjvuuNZxpVjnG7tyHx8sXrw47bbbbunrX/96evLJJ9OUKVPSkUcembbffvu0ePHiRlv3j3/84xQR6e677y7Me+edd1KzZs3W+J1j5a759NNPT//1X/9VuL2ul+csd90rW9f9u3LXvL77CqWse4VP2pden9djuWten9diY6h7fV+PfKyU+9Qr9otW/U6cHXfcMf3whz9slDWv7/+0ylnzyupy7LK+SnHsUmoNdcxSn+pa84IFC9KWW25Z1BvLcSmq9VnXffv2Xe13PlVXV5e01nVR/x8NaiS+973vxYgRIz5xzFZbbVX4+a233op999039txzz/if//mfT3zcAw88EDNnzoyOHTsWzT/yyCNj7733jkmTJhXN//Wvfx0777xz7Lrrrmute7fddosHH3wwXnrppUZR+wr9+/ePCy+8MJYsWRKVlZVRXV0dc+bMKRozZ86caNeuXfztb38re+0vvvhi7L///nHiiSfG2Wef/YnLjWgc6726ujqefPLJovtXrOMVp1eWY72vUFVVFVVVVdG3b9/YfffdY9NNN43bbrsthg0bVjSuLtv7IYccEo8++mjcfPPNZa97hcawrdel9vXZ1hvq1OLGYl37QXV1dbzzzjtF85ctWxbvvffeOp3ifOutt8bixYvj61//+lrHrrqdlbv2leuK+PgTen369Fmn96Vy1r5w4cIYMmRItG/fPm677bZo2bLlJ45f1/W+qs6dO0fz5s1X+16wphrX9N6x8vv5inndu3cvGrPzzjuvc22lqH2Fyy67LH7605/GfffdFzvttNMnjt1qq62ic+fOMWPGjNh///03uO6IDat9hZYtW8Yuu+wSM2bMiIiGWe8bUveiRYvi5ptvjgsuuGCtz1OKdb6xK/fxwU033RSvvvpqTJkypXAplptuuik23XTTuOOOO+Loo49ulHWveK185jOfKdzfpUuX6Ny5c7z22muNsuYHHnggpk6dGrfeemtEROEyhJ07d44f/ehHcf755zfKuleoy/5duWte332FUta9wiftS6/P67HcNa/Pa7Ex1L2+r0c+Vsp96tVtUxER22233SduU+WseX3/p1XOmleo67HL+irFsUupNdQxS32qa80zZ86MV199NQ455JDCvJqamoj4+KyfadOmRZ8+fUpbdKzfuu7evXu0bNkymjdvXpi33XbbxezZs2Pp0qVrvLJIgyh3stIYvPHGG6lv377p6KOPLkqf1uTtt99OU6dOLZoiIl155ZXplVdeKRq7cOHC1K5du3T11VevUy2DBg1KRxxxRKOofWUXXXRR2nTTTQu3zzrrrLTDDjsUjRk2bFidvlC5VLW/8MILqWvXrunMM89c51oaw3pf8cV7c+bMKTzul7/8ZerQoUP68MMPU0rlWe+r8+GHH6Y2bdqkcePGFc0v5fZeyrpX1hi29dVZXe0Nsa03JSu+CG7ls43uvvvudf4iuAEDBqQjjzxynZ5r1e1sQ21o7Ss88sgjKSIKn3RZl/elctU+f/78tPvuu6cBAwakRYsWrdNzbch632233dLJJ59cuL18+fL0qU996hO/gO/ggw8umrfHHnvU+vLwlc/wmT9/fsm+PLwutaeU0sUXX5w6dOiQpkyZsk7P8frrr6eKiop0xx13bHC9K1uf2le2bNmytM0226TTTz89pdRw63196x43blyqrKxM77777lqfo1TrnI+VYl/vqquuStXV1ammpqbwuI8++ii1bds23XjjjY227mnTptU6O2ju3LmpWbNmRZ8cb0w1z5gxo+j+3/zmN4VPJ67c0xpb3Smt3/5dOWtuiH2FUuxLl/r1WIqaS/1aTKk0dTfE65H126euqalJPXr0qPXl4TvvvHOtszhKYX1qXt//aZWz5pTW79hlQ9T3sUtDaIhjlvpWl5o/+OCDWtvuYYcdlvbbb780derUtGTJkkZZd0opjRo1KvXq1SstX768MO+KK65I3bt3L3mta9Pkg4033ngjbb311mn//fdPb7zxRnr77bcL08pjttlmm/TEE0+scTmxhlPffv3rX6fWrVuv9jTLyy+/PN1+++1p+vTpaerUqem73/1uatas2TpfUqBUtf/pT39Kv/rVr9LUqVPT9OnT0y9+8Yu0ySabpHPPPbcw5pVXXkmbbLJJOvPMM9NLL72Uxo4dm5o3b/6Jp8A2RO1Tp05NXbp0SV/96leLlvnOO+8UxjTW9b5s2bK0ww47pAMPPDA9++yzaeLEialLly5FOxTlWO8zZ85MP/nJT9JTTz2V/vWvf6VHH300HXLIIalTp061dkRLtb2Xqu7Guq2vS+0Nsa03RUOGDEm77LJLeuKJJ9IjjzyS+vbtm4YNG1a4f02v7enTp6eKiop011131Vrmumxn5ah9xowZ6YILLkhPPfVUmjVrVrrjjjvSVlttlfbZZ5/CY9blfakctc+fPz/1798/7bjjjmnGjBlFr4EVB+H1vd5vvvnmVFlZmcaPH59efPHFdOKJJ6aOHTum2bNnp5RS+trXvlZ0yv6jjz6aWrRokS677LL00ksvpdGjR6eWLVumqVOnFsb89Kc/TR07dkx33HFHev7559Nhhx2Wevfu/YmXy2uI2n/605+mVq1apVtvvbVo3a445X/hwoXp+9//fpoyZUqaNWtWuu+++9JnP/vZ1Ldv33r7J9b61n7++eenu+++O82cOTM9/fTT6eijj06tW7dO//jHP4p+v1Kv97rWvcIXvvCFost1rNCQ65zS7eu99NJLqbKyMn37299OL774YnrhhRfSV7/61VRVVVXr8miNqe6UUjrssMPS9ttvnx599NE0derUdPDBB6fPfOYzG3wZjVIfi61Q35e+KeexTGOrudT7CqXaly7l67GUx1ylei2Wuu6VuRRV6azPsczll1+eOnTokCZMmJCmT5+ezj777NS6devCpWkbY82rWlsPqG+lOHapb6U4dim1+j5maYw1r6ocl6JKqe51v/baa6l9+/bp5JNPTtOmTUt/+ctfUteuXdNFF13U4LWvqskHG+PGjVvj9fNWmDVrVoqI9OCDD65xOWt6I91jjz3SMcccs9rHXHzxxalPnz6pdevWqVOnTmngwIHpgQceKHvtd911V9p5551Tu3btUtu2bVO/fv3StddeW5TMpfTxDsnOO++cWrVqlbbaaqtP/BR8Q9U+evTo1S6zV69ehTGNdb2nlNKrr76ahg4dmtq0aZM6d+6cvve976WPPvqoaExDr/c333wzDR06NHXt2jW1bNkybb755umYY45JL7/8cq3ll2p7L1XdjXVbX5faG2Jbb4rmzp2bhg0bltq1a5c6dOiQjjvuuKIdozW9tkeNGpV69uxZa9tJad23s4au/bXXXkv77LNP6tSpU6qsrExbb711OvPMM9P8+fOLlrsu70sNXfuKA+LVTbNmzUoplWa9X3311WmLLbZIrVq1Srvttlt6/PHHC/cNGDAgDR8+vGj8Lbfckj796U+nVq1ape233z799a9/Lbq/pqYmnXPOOalbt26psrIy7b///mnatGnrXV991d6rV6/VrtvRo0enlD6+LvmBBx6YunTpklq2bJl69eqVTjjhhMKOcDlrP+200wpju3Xrlr74xS+mv//970XLa6j1Xtft5eWXX04Rke65555ay2rodd7UlXJf75577kl77bVXqqqqSptuumnab7/96u1ThqWse/78+ekb3/hG6tixY+rUqVM64ogj0muvvdaoa15Zff8jtZzHMo2t5pRKu69QyuOXUr0eS1lzqV6Lpa57ZYKN0lnfY5kxY8akzTffPG2yySZpjz32SA8//HCjr3lla+sB9a0Uxy6lUN/HLg2hPo9ZGmPNqypXsJFS3et+7LHHUv/+/VNlZWXaaqut0o9//OOSBXN1UZHS/7vAIQAAAAAAQCPXrNwFAAAA/P/t2TENAAAAwyD/rmdhbxOwAQAAwEtsAAAAAAAAGWIDAAAAAADIEBsAAAAAAECG2AAAAAAAADLEBgAAAAAAkCE2AAAAAACADLEBAAAAAABkiA0AAAAAACBDbAAAAAAAABliAwAAAAAAyBhWhhXG+wZyjQAAAABJRU5ErkJggg==\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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DB2+w/bHHHltok1KKyy+/PLp16xatWrWKIUOGxJw5c+pqlWpdbWyzkSNHVrt/2LBhdbVKbAd++MMfxkEHHRQ77LBDdOjQYYse09j/lzfn448/jjPOOCPatWsXHTp0iLPOOiuWL1++ycds6P/9vPPOq6Me162aHk9MmTIl+vbtGy1btox+/fpVOz7ZHtRkm02ePLnaa6lly5Z12Nv69fTTT8dxxx0X3bt3j7Kysrj//vs3+5hp06bFF77whSgvL4/ddtstJk+eXOv9bAxq4/h5woQJsf/++0fbtm2jS5cuceKJJ8bs2bOLllHb75f1NS749NNPY9SoUbHTTjtFmzZt4pRTTolFixY16PXakmU2tP1VqjHJ1tT6+lyv1atXxyWXXBL9+vWL1q1bR/fu3ePrX/96/OUvf9ns815zzTUlW6/aWLeILRsT1fY+o+Zquk/eeuutDb4WysrKYsqUKYV2G7r/rrvuqotViojaGwu88847ceyxx8YOO+wQXbp0ie9973uxZs2a2lyVIjVdr48//jjOP//82GOPPaJVq1bRs2fPuOCCC2LJkiVF7ep6f5V6LNJQxr41Wa+f/exnceihh8aOO+4YO+64YwwZMqRa+4byWVOpx0ENZX9tUCJ98MEHacGCBYXpscceSxGRnnrqqQ22r6ysTF/84hfTMccck5555pk0f/78NG3atDRr1qxCm7vuuiu1aNEi/fznP09/+tOf0tlnn506dOiQFi1aVEdrVbtqY5uNGzcu7bXXXkXL/etf/1pHa1T7arrNPvroo6L2r776amratGmaNGlSoc0111yT2rdvn+6///70xz/+MR1//PGpd+/eaeXKlXWzUrWsNrbZiBEj0rBhw4raffzxx3WzQmwXLr/88vTjH/84jRkzJrVv336LHtPY/5c3Z9iwYal///7pueeeS7///e/Tbrvtlk4//fRNPubwww9PZ599dtH/8pIlS+qox3WnpscTzz77bGratGm69tpr02uvvZZ+8IMfpObNm6dXXnmljntef2q6zSZNmpTatWtX9FpauHBhHfe6/jz00EPp+9//frr33ntTRKT77rtvk+3ffPPNtMMOO6QxY8ak1157Ld18882padOmaerUqXXT4YzVxvHz0KFD06RJk9Krr76aZs2alY455pjUs2fPtHz58kKb2n6/rK9xwXnnnZd69OiRnnjiifTiiy+mAw88MB100EENer22ZJkNbX+VakyyNbW+Ptdr8eLFaciQIenXv/51euONN9KMGTPSAQcckAYMGFC0nF69eqUrr7yyaFmf/f9riOuW0paNiWp7n1FzNd0na9asKdrHCxYsSOPHj09t2rRJy5YtK7SLiDRp0qSidnU5DqmNscCaNWvS3nvvnYYMGZJeeuml9NBDD6VOnTqlsWPH1vbqFNR0vV555ZV08sknp9/85jdp7ty56Yknnki77757OuWUU4ra1eX+qo2xSEMY+9Z0vb761a+miRMnppdeeim9/vrraeTIkal9+/bpvffeK7RpCJ811cY4qCHsr40RamzAt7/97dSnT59UVVW1wftvueWWtOuuu6ZVq1ZtdBkHHHBAGjVqVOH22rVrU/fu3dOECRNK3t+GoBTbbNy4cal///611MOGZ3PbbH033HBDatu2beEguaqqKlVUVKTrrruu0Gbx4sWpvLw8/epXv6qVPte3bd1mKf290Jxwwgm11EP4P5MmTdqiUGN7/F/+rNdeey1FRPqf//mfwryHH344lZWVpffff3+jjzv88MPTt7/97TroYf2q6fHEqaeemo499tiieQMHDkznnnturfazIanpNtvS/9XtwZaEGhdffHHaa6+9iuZ95StfSUOHDq3FnjVOpTh+Xt8HH3yQIiJNnz69MK+u3y/rYlywePHi1Lx58zRlypTCvNdffz1FRJoxY8ZW931TamN/bWiZDW1/rW9rxiRbW+u3RSnGDet74YUXUkSkt99+uzCvV69e6YYbbtjW7tZIXYyJ6mOfsWml2if77rtv+sY3vlE0b0vqf22prbHAQw89lJo0aVL0Ae0tt9yS2rVrlyorK0vS900p1f66++67U4sWLdLq1asL8+pyf5V6LNJQxr7b+pntmjVrUtu2bdMvfvGLwryG8FlTqcdBDWV/bYyfn1rPqlWr4vbbb49vfOMbUVZWtsE2v/nNb2LQoEExatSo6Nq1a+y9997xb//2b7F27drCMmbOnBlDhgwpPKZJkyYxZMiQmDFjRp2sR10qxTZbZ86cOdG9e/fYdddd44wzzoh33nmnLlahzm3JNlvfbbfdFqeddlq0bt06IiLmz58fCxcuLHqdtW/fPgYOHLjdvs7Wt/42W2fatGnRpUuX2GOPPeKb3/xmfPTRR7XRZdgi29v/8vpmzJgRHTp0iC9+8YuFeUOGDIkmTZrE888/v8nH3nHHHdGpU6fYe++9Y+zYsfHJJ5/Udnfr1NYcT8yYMaOofUTE0KFDt4vXUsTWH4MtX748evXqFT169IgTTjgh/vSnP9VFd7O0vb/GSqWUx8+fte4nKjp27Fg0v67eL+tqXDBz5sxYvXp10Wuxb9++0bNnz1p5LdbG/trUMhvS/lrf1oxJtqXWb41Sjhs+a8mSJVFWVlbt50Wvueaa2GmnnWK//faL6667rlZ/3qauxkR1vc/YvFLsk5kzZ8asWbPirLPOqnbfqFGjolOnTnHAAQfEz3/+80gplazvm1JbY4EZM2ZEv379omvXroV5Q4cOjaVLl9bJcV6p/oeWLFkS7dq1i2bNmhXNr4v9VRtjkYYw9i3FZ7affPJJrF69utrxVn1+1lQb46CGsL82pdnmm2xf7r///li8eHGMHDlyo23efPPNePLJJ+OMM86Ihx56KObOnRvf+ta3YvXq1TFu3Lj48MMPY+3atUVvnhERXbt2jTfeeKOW16DulWKbRUQMHDgwJk+eHHvssUcsWLAgxo8fH4ceemi8+uqr0bZt2zpam7qxJdvss1544YV49dVX47bbbivMW7hwYUTEBl9n6+5rTEqxzSIihg0bFieffHL07t075s2bF//6r/8aw4cPjxkzZkTTpk1roeewadvb//L6Fi5cGF26dCma16xZs+jYseMm1/+rX/1q9OrVK7p37x4vv/xyXHLJJTF79uy49957a7vLdWZrjicWLly43b6WIrZum+2xxx7x85//PPbZZ59YsmRJXH/99XHQQQfFn/70p9h5553rottZ2dhrbOnSpbFy5cpo1apVPfUsL6U6fv6sqqqquPDCC+Pggw+OvffeuzC/Lt8v62pcsHDhwmjRokW1D5dr6/2uNvbXxpbZ0PbXZ23tmGRra/3WKtW44bM+/fTTuOSSS+L000+Pdu3aFeZfcMEF8YUvfCE6duwYf/jDH2Ls2LGxYMGC+PGPf7ytq7FBdTUmqut9xuaVYp/cdtttseeee8ZBBx1UNP/KK6+MI488MnbYYYd49NFH41vf+lYsX748LrjggpL1f2NqayywseOVdffVtlLsrw8//DCuuuqqOOecc4rm19X+qo2xSEMY+5biM9tLLrkkunfvXvRhf31/1lQb46CGsL82Raixnttuuy2GDx8e3bt332ibqqqq6NKlS/zXf/1XNG3aNAYMGBDvv/9+XHfddRs8YG3sSrXNhg8fXmi/zz77xMCBA6NXr15x9913b/CbBDnbkm22fvt+/frFAQccUMs9a7hKtc1OO+20wt/9+vWLffbZJ/r06RPTpk2Lo446qqR9pvG49NJL40c/+tEm27z++uvVLmK6PdvSbba1Pntw369fv+jWrVscddRRMW/evOjTp89WL5ftz6BBg2LQoEGF2wcddFDsueee8Z//+Z9x1VVX1WPPaMxqY8wxatSoePXVV+OZZ54pml+X75eNdVxQG/trY8tsaPtr/fY5jElKvV6rV6+OU089NVJKccsttxTdN2bMmMLf++yzT7Ro0SLOPffcmDBhQpSXl2/9Smyir8ZEjUttHzOvs3Llyrjzzjvjsssuq3bfZ+ftt99+sWLFirjuuuu26UPyxjoWqKv9tXTp0jj22GPj85//fFxxxRVF99XG/mLLXXPNNXHXXXfFtGnTii6qneP7au7jIKHGZ7z99tvx+OOPb/ZbMN26dYvmzZsXJW177rlnLFy4MFatWhWdOnWKpk2bxqJFi4oet2jRoqioqKiVvteXUm2zFi1aVHtMhw4d4nOf+1zMnTu35P2uT1u6zdZZsWJF3HXXXXHllVcWzV/3Wlq0aFF069atMH/RokWx7777lqy/DUGpttmG7LrrrtGpU6eYO3dugy001L/vfOc7m/1G3K677rpVy26s/8tbus0qKirigw8+KJq/Zs2a+Pjjj2tUMwcOHBgREXPnzm00ocbWHE9UVFRsF8cfG1OKY7DmzZvHfvvt1+iOP0plY6+xdu3aOUtjC9XG8fPo0aPjwQcfjKeffnqzZxjV1vtlXY4LKioqYtWqVbF48eKiszVq4/2uNtarJse29b2/1tmWMUmpav2WKPW4YV2g8fbbb8eTTz5ZdJbGhgwcODDWrFkTb731Vuyxxx417v+m1OWYqC732fauro6Z77nnnvjkk0/i61//+mbbDhw4MK666qqorKzc6nCuvscCFRUV8cILLxS1WXf8si2v4bpYr2XLlsWwYcOibdu2cd9990Xz5s032b4U+2tDamMs0hDGvtsyXrj++uvjmmuuiccffzz22WefTbat68+aamMc1BD216a4psZnTJo0Kbp06RLHHnvsJtsdfPDBMXfu3KiqqirM+/Of/xzdunWLFi1aRIsWLWLAgAHxxBNPFO6vqqqKJ554oigBawxKtc02ZPny5TFv3ryif5zGYEu32TpTpkyJysrK+Od//uei+b17946Kioqi19nSpUvj+eef325fZ+tsbJttyHvvvRcfffRRo3udUVqdO3eOvn37bnLa2HvZ5jTW/+Ut3WaDBg2KxYsXx8yZMwuPffLJJ6OqqqowONkSs2bNiohoVP/LW3M8MWjQoKL2ERGPPfZY1q+lmijFMdjatWvjlVdeaVSvpVLa3l9jpVDK4+eUUowePTruu+++ePLJJ6N3796bff7aer+sy3HBgAEDonnz5kWvxdmzZ8c777xT8tdibaxXTY5t63t/rbMtY5JS1fotUcpxw7pAY86cOfH444/HTjvttNnlzZo1K5o0aVLtZ2dKoS7HRHW5z7Z3dXXMfNttt8Xxxx8fnTt33mzbWbNmxY477rhNH5DX91hg0KBB8corrxQFC4899li0a9cuPv/5zzfY9Vq6dGkcffTR0aJFi/jNb35TdCbAxpRif21IbYxFGsLYd2vHC9dee21cddVVMXXq1KJrpWxMXX/WVBvjoIawvzapfq9T3nCsXbs29ezZM11yySXV7vva176WLr300sLtd955J7Vt2zaNHj06zZ49Oz344IOpS5cu6eqrry60ueuuu1J5eXmaPHlyeu2119I555yTOnTokBYuXFgn61MXSr3NvvOd76Rp06al+fPnp2effTYNGTIkderUKX3wwQd1sj51oSbbbJ1DDjkkfeUrX9ng8q655prUoUOH9MADD6SXX345nXDCCal3795p5cqVJe97fSnlNlu2bFn67ne/m2bMmJHmz5+fHn/88fSFL3wh7b777unTTz+tlf6z/Xn77bfTSy+9lMaPH5/atGmTXnrppfTSSy+lZcuWFdrsscce6d577y3c3h7+lzdl2LBhab/99kvPP/98euaZZ9Luu++eTj/99ML97733Xtpjjz3S888/n1JKae7cuenKK69ML774Ypo/f3564IEH0q677poOO+yw+lqFWrO544n13wefffbZ1KxZs3T99den119/PY0bNy41b948vfLKK/W1CnWuptts/Pjx6ZFHHknz5s1LM2fOTKeddlpq2bJl+tOf/lRfq1Cnli1bVnifioj04x//OL300kvp7bffTimldOmll6avfe1rhfZvvvlm2mGHHdL3vve99Prrr6eJEyempk2bpqlTp9bXKmSl1MfP3/zmN1P79u3TtGnT0oIFCwrTJ598klKqu/fL+hgXnHfeealnz57pySefTC+++GIaNGhQGjRoUINer80tsyHur3W2dUyyuVpfCqVcr1WrVqXjjz8+7bzzzmnWrFlF/1+VlZUppZT+8Ic/pBtuuCHNmjUrzZs3L91+++2pc+fO6etf/3pJ16vU67alY6K62GfUTE2PmdeZM2dOKisrSw8//HC1Zf7mN79JP/vZz9Irr7yS5syZk/7jP/4j7bDDDunyyy+v9fVZpzbGAmvWrEl77713Ovroo9OsWbPS1KlTU+fOndPYsWMb7HotWbIkDRw4MPXr1y/NnTu36H1nzZo1KaW631+1MRZpCGPfmq7XNddck1q0aJHuueeeov2ybozfUD5rqo1xUEPYXxsj1Pj/e+SRR1JEpNmzZ1e77/DDD08jRowomveHP/whDRw4MJWXl6ddd901/fCHPyy8yaxz8803p549e6YWLVqkAw44ID333HO1uQp1rtTb7Ctf+Urq1q1batGiRfqHf/iH9JWvfCXNnTu3tlejTtV0m73xxhspItKjjz66weVVVVWlyy67LHXt2jWVl5eno446aoPLzlkpt9knn3ySjj766NS5c+fUvHnz1KtXr3T22Wc3qrCR+jdixIgUEdWmp556qtAmItKkSZMKt7eH/+VN+eijj9Lpp5+e2rRpk9q1a5fOPPPMohBo/vz5RdvwnXfeSYcddljq2LFjKi8vT7vttlv63ve+l5YsWVJPa1C7NnU8saH3wbvvvjt97nOfSy1atEh77bVX+t3vflfHPa5/NdlmF154YaFt165d0zHHHJP+93//tx56XT+eeuqpDb5nrdtGI0aMSIcffni1x+y7776pRYsWaddddy16P2PTSn38vKF999kaU1fvl/UxLli5cmX61re+lXbccce0ww47pJNOOiktWLCgQa/X5pbZUPdXKcYkm6v1pVDK9Vp37LGpY7qZM2emgQMHpvbt26eWLVumPffcM/3bv/1brXyAVR9jorrYZ9RMTY+Z1xk7dmzq0aNHWrt2bbVlPvzww2nfffdNbdq0Sa1bt079+/dPt9566wbb1pbaGgu89dZbafjw4alVq1apU6dO6Tvf+U5avXp1g12vjR2TRUSaP39+Sql+9lepxyINZexbk/Xq1avXBvfLuHHjUkoN67OmUo+DGsr+2pCylFIq4YkfAAAAAAAAtcI1NQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCwINQAAAAAAgCz8/wCzNLIqFpIZlAAAAABJRU5ErkJggg==\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x800 with 4 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ], | |
| "source": [ | |
| "est_samples = comparing_estimations(dist=stats.norm, params=(True, False), scope=(-10, 10), est=std_stats)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "md_tS7gzz-AN" | |
| }, | |
| "source": [ | |
| "# Теоретическое дополнение\n", | |
| "\n", | |
| "## Состоятельность и асимптотическая нормальность $\\hat{\\theta}$:\n", | |
| "\n", | |
| "По теореме об асимптотической нормальности выборочной квантили получаем:\n", | |
| "\n", | |
| "$\\sqrt{n}(\\hat{\\mu} - z_{\\frac{1}{2}}) \\overset{d_{\\theta}}{\\longrightarrow} \\mathcal{N}(0, \\frac{1}{4p_{\\theta}^{2}(\\theta)}) = \\mathcal{N}(0, \\frac{\\pi}{2})$\n", | |
| "\n", | |
| "Если оценка асимптотически нормальная, то она состоятельная. (Доказано в предыдущем задании)\n", | |
| "\n", | |
| "## Состоятельность и асимптотическая нормальность $\\overline{X}$:\n", | |
| "\n", | |
| "По **З.Б.Ч.** $\\overline{X} \\overset{P}{\\longrightarrow} \\mathop{\\mathbb{E}(X_1)} = \\theta$,\n", | |
| "а, следовательно, $\\overline{X}$ является состоятельной оценкой для $\\theta$.\n", | |
| "\n", | |
| "Асимптотическая нормальность следует из **ЦПТ**:\n", | |
| "$\\sqrt{n}(\\overline{X} - \\theta) \\overset{d}{\\longrightarrow} \\mathcal{N}(0, 1)$\n", | |
| "\n", | |
| "# Вывод\n", | |
| "**Выборочное среднее** имеет *меньшую* асимптотическую дисперсию (1 < $\\frac{\\pi}{2}$), а, следовательно, эта оценка *лучше*." | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "2olw25ZRGt6W" | |
| }, | |
| "source": [ | |
| "![image.png](data:image/png;base64,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