{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Random variables" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import seaborn as sns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Normal" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def source1(shape=None):\n", " return np.random.normal(10, 2, shape)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10.640236728514942" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source1()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "vals1 = source1(1000)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\mclou\\Anaconda3\\lib\\site-packages\\scipy\\stats\\stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.distplot(vals1, kde=True, rug=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Uniform" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def source2(shape=None):\n", " return np.random.uniform(0, 100, shape)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.94823906331788" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source2()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "vals2 = source2(1000)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.distplot(vals2, kde=True, rug=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Binomial" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def source3(shape=None):\n", " return np.random.binomial(10, 0.5, shape)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source3()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "vals3 = source3(1000)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.distplot(vals3, kde=True, rug=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Chi-square" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def source4(shape=None):\n", " return np.random.chisquare(1, shape)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.0901869671074977" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source4()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "vals4 = source4(1000)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.distplot(vals4, kde=True, rug=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Pareto" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def source5(shape=None):\n", " return np.random.pareto(1.16, shape)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.28739400531779125" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source5()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "vals5 = source5(1000)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.distplot(vals5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Poisson" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def source6(shape=None):\n", " return np.random.poisson(3, shape)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source6()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "vals6 = source6(1000)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.distplot(vals6);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Student's t" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def source6(shape=None):\n", " return np.random.standard_t(10, shape)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.7910509164826577" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source6()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "vals6 = source6(1000)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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