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Breaking the central limit theorem with the Cauchy distribution.ipynb
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"source": [
"<a href=\"https://colab.research.google.com/gist/artificialsoph/eb2dcbe4656dbbbe695c3cc78ec48a03/breaking-the-central-limit-theorem-with-the-cauchy-distribution.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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"%pylab inline"
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"outputs": [
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"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
],
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"colab_type": "code",
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"source": [
"from scipy.stats import cauchy, poisson, normaltest\n",
"import seaborn\n",
"seaborn.set_style(\"whitegrid\")"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
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"source": [
"# Central Limit Theorem\n",
"\n",
"The central limit theorem roughly states that for most distributions, if we perform many independent draws from that distribution, the mean of those draws will tend to normality as the number of draws increases. Critically, this applies to *most* non-normal distributions.\n",
"\n",
"Does it apply everywhere? No. An assumption of the CLT is that the target distribution has finite variance. The [Cauchy](https://en.wikipedia.org/wiki/Cauchy_distribution) distribution which has *infinite* variance breaks this assumption and so CLT does not apply. Let's see how this looks:"
]
},
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"end_time": "2017-10-20T16:26:19.218244Z",
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"source": [
"n_samples = 1000\n",
"n_means = 10000\n",
"\n",
"cauchy_means = array(\n",
" [mean(cauchy.rvs(size=n_samples)) for _ in range(n_means)])\n",
"\n",
"poisson_means = array(\n",
" [mean(poisson.rvs(size=n_samples, mu=.9)) for _ in range(n_means)])"
],
"execution_count": 0,
"outputs": []
},
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"cell_type": "code",
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"end_time": "2017-10-20T16:26:19.233479Z",
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"source": [
"def plot_kde_samples(samples, n, label, ax):\n",
" seaborn.kdeplot(samples[:n], ax=ax)\n",
" n_score = normaltest(samples[:n])\n",
" ax.set_title(f\"{label} at $n={n}$, $p={n_score[1]:.3f}$\")"
],
"execution_count": 0,
"outputs": []
},
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"source": [
"# Plot results\n",
"\n",
"Here, I'll plot the results for different size estimates of the means for each distribution. The [normality test](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.normaltest.html) is based on D’Agostino and Pearson’s, so the null assumption is that the distribution is normal, and we can reject that assumption with a sufficiently low $p$ value."
]
},
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"source": [
"fig, axes = subplots(nrows=3, ncols=2, figsize=(8,8))\n",
"axes = axes.flat\n",
"\n",
"plot_kde_samples(cauchy_means, 20, \"Cauchy\", axes[1])\n",
"plot_kde_samples(cauchy_means, 1000, \"Cauchy\", axes[3])\n",
"plot_kde_samples(cauchy_means, 10000, \"Cauchy\", axes[5])\n",
"\n",
"plot_kde_samples(poisson_means, 20, \"Poisson\", axes[0])\n",
"plot_kde_samples(poisson_means, 1000, \"Poisson\", axes[2])\n",
"plot_kde_samples(poisson_means, 10000, \"Poisson\", axes[4])\n",
"\n",
"fig.suptitle(\"CLT for Cauchy and Poisson\");"
],
"execution_count": 5,
"outputs": [
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wTL9+/Zj09HTZzytXrmQ2btwo+zk7O5tZsGABM2rUKGbkyJHM2rVrGYZpvrzu2rWLWbhw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\n",
"text/plain": [
"<Figure size 576x576 with 6 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "luiJ4k3BvmJm",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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