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@Lipen
Last active October 21, 2016 20:15
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1) Статистика sum(Xk^2)/n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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2IkVEBhhr7R5gT4tD7xtjRgOLgOs6+2x35sAAONwOKj+p5MhjRxhx3wjcadpiQEQk4LKz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x86984e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.stats.distributions import chi2, norm\n",
"\n",
"gamma = 0.95\n",
"\n",
"ns = [100 * i for i in range(10, 100)] + [10000 * i for i in range(1, 21)]\n",
"intervals_nn = []\n",
"\n",
"for theta in [1, 3, 5, 10, 20]:\n",
" intervals_m = []\n",
"\n",
" for n in ns:\n",
" data = np.random.normal(0, np.sqrt(theta), size=(n, 1))\n",
" hat = np.sum(data**2) / n\n",
" interval = (\n",
" n * hat / chi2.ppf((1 + gamma) / 2, n),\n",
" n * hat / chi2.ppf((1 - gamma) / 2, n))\n",
" intervals_m.append(interval)\n",
"\n",
" intervals_nn.append((theta, intervals_m))\n",
"\n",
"lengths_nn = [(t, [x[1] - x[0] for x in int_m]) for t, int_m in intervals_nn]\n",
"\n",
"for t, length_m in lengths_nn:\n",
" plt.plot(ns, length_m, label='$\\\\theta = {}$'.format(t))\n",
"\n",
"plt.xlabel('$n$')\n",
"plt.ylabel('Interval length')\n",
"plt.ylim(0, 2)\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Как видно, длина доверительного интервала убывает с ростом n."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2) Статистика [sum(Xk/n)]^2"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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/YouVbcBvmLuLvSeKCR6t9c3AzX4fKzcbKCtWpHzZO+aEiYqpsiIkuTSQ9FoR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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x9ebc668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.stats.distributions import chi2, norm\n",
"\n",
"gamma = 0.95\n",
"\n",
"ns = [100 * i for i in range(10, 100)] + [10000 * i for i in range(1, 51)]\n",
"intervals_nn = []\n",
"\n",
"for theta in [1, 3, 5, 10, 20]:\n",
" intervals_m = []\n",
"\n",
" for n in ns:\n",
" data = np.random.normal(0, np.sqrt(theta), size=(n, 1))\n",
" hat = (np.sum(data) / n)**2\n",
" interval = (\n",
" n * hat / norm.ppf((3 + (1 - gamma)) / 4)**2,\n",
" n * hat / norm.ppf((3 - (1 - gamma)) / 4)**2)\n",
" intervals_m.append(interval)\n",
"\n",
" intervals_nn.append((theta, intervals_m))\n",
"\n",
"lengths_nn = [(t, [x[1] - x[0] for x in int_m]) for t, int_m in intervals_nn]\n",
"\n",
"for t, length_m in lengths_nn:\n",
" plt.plot(ns, length_m, label='$\\\\theta = {}$'.format(t))\n",
"\n",
"plt.xlabel('$n$')\n",
"plt.ylabel('Interval length')\n",
"plt.ylim(0, 60)\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Как видно, длина интервала с увеличением n ни к чему не стремится и ведёт себя хаотично."
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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