distribution_demo.ipynb

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   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import scipy\n",
    "from ipywidgets import interact\n",
    "import matplotlib.pyplot as plt"
   ]
  },
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      "text/plain": [
       "interactive(children=(IntSlider(value=0, description='skew', max=5, min=-5), FloatSlider(value=3.0, descriptio…"
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     "output_type": "display_data"
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   "source": [
    "@interact(skew=(-5, 5),mean=(1,5,0.25))\n",
    "def f(skew,mean):\n",
    "    fig, axes = plt.subplots(2,1)\n",
    "    ax0, ax1 = axes\n",
    "    xlims = (0,8)\n",
    "    ylims = (0,1)\n",
    "    \n",
    "    d0 = scipy.stats.skewnorm(skew, mean, 1).rvs(10000)  \n",
    "    sns.kdeplot(d0, ax=ax0)\n",
    "    ax0.set_xlim(*xlims)\n",
    "    ax0.set_ylim(*ylims)\n",
    "    ax0.set_title(\"Stage 1\")\n",
    "    \n",
    "    # sample d0 to get d1                                            \n",
    "    s0 = np.random.choice(d0,500) - 1.0\n",
    "    stage2_mean = np.mean(s0)+2\n",
    "    d1 = np.random.normal(stage2_mean,1,500)\n",
    "                                                 \n",
    "    sns.kdeplot(d1,ax=ax1)\n",
    "    ax1.set_xlim(*xlims)\n",
    "    ax1.set_ylim(*ylims)\n",
    "    ax1.set_title(\"Stage 2\")\n",
    "    plt.tight_layout()"
   ]
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