theory-of-probability-and-mathematical-statistics/05. Мат. ожидание, дисперсия, корреляция, ковариация.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5c6d754d",
   "metadata": {},
   "source": [
    "# Мат. ожидание, дисперсия, ковариация, моменты"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "62fd89a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.stats as sps\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "from collections import Counter\n",
    "from collections import OrderedDict\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb0fd4d6",
   "metadata": {},
   "source": [
    "<strong>Математическое ожидание (начальный момент)</strong> - среднее значение случайной величины, обозначается как $E{\\xi}$\n",
    "\n",
    "Пример 1: <i>дискретный случай</i> (брошенная кость):\n",
    "\n",
    "| i индекс               |  0  |  1  |  2  |  3  |  4  |  5  |\n",
    "| ---------------------- | --- | --- | --- | --- | --- | --- |\n",
    "| Xi случайная величина  |  1  |  2  |  3  |  4  |  5  |  6  |\n",
    "| Pi вероятность         | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 |\n",
    "\n",
    "$E{\\xi} = P₁*X₁ + P₂*X₂ + P₃*X₃ + P₄*X₄ + P₅*X₅ + P₆*X₆$\n",
    "\n",
    "Формула:\n",
    "\n",
    "$E{\\xi}=\\sum {x}^{}_{i}*P(\\xi={x}^{}_{i})$\n",
    "\n",
    "Пример 2: <i>непрерывный случай</i>:\n",
    "\n",
    "$E{\\xi}=\\int_{-∞}^∞ {x}^{}_{i}*dP(\\xi={x}^{}_{i})$\n",
    "\n",
    "<strong>Свойства мат. ожидания:</strong>\n",
    "\n",
    "1. $E[c] = c$\n",
    "2. Если ξ ≥ 0, то $E$<sub>ξ</sub> ≥ 0\n",
    "3. Если P(ξ = 0) = 1, то $E$<sub>ξ</sub> = 0\n",
    "4. Мат. ожидание линейно: $E[aX+bY] = a*E[X] + b*E[Y]$\n",
    "5. Если случайные величины X, Y - независимы, то $E[X*Y] = E[X] * E[Y]$\n",
    "6. Мат. ожидание сохраняет неравенства: X ≤ Y => $E[X] ≤ E[Y]$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4c5c3a61",
   "metadata": {},
   "source": [
    "<strong>Дисперсия (центральный момент)</strong> - мат. ожидание квадрата отклонения случайной величины от её математического ожидания или же $D[X] = E[(X - E[X])^2]$\n",
    "\n",
    "<strong>Ковариация</strong> - мера зависимости двух случайных величин, 0 - случайные величины могут быть независимыми, но не обязаны, но если X, Y независимы, то $cov(X, Y) = 0$ "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61dcb965",
   "metadata": {},
   "source": [
    "<strong>Момент случайной величины</strong> - числовая характеристика распределения случайно величины."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2fa17a56",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k, моменты посчитанные на месте, через модуль Scipy\n",
      "1: -6.694644838489694e-17, 0.0\n",
      "2: 0.9444429730536508, 0.9444429730536509\n",
      "3: 0.09480406366245199, 0.09480406366245202\n"
     ]
    }
   ],
   "source": [
    "# мат. ожидание / среднее значение\n",
    "def M(sample):\n",
    "    return sum(sample) / len(sample)\n",
    "\n",
    "# начальный момент k-того порядка\n",
    "def moment(k, array):\n",
    "    mapped = map(lambda x: (x - M(sample)) ** k, array)\n",
    "    return M(list(mapped))\n",
    "\n",
    "sample = sps.norm.rvs(size = 1000)\n",
    "\n",
    "print('k, моменты посчитанные на месте, через модуль Scipy')\n",
    "\n",
    "for k in range(1, 4):\n",
    "    print(f'{k}: {moment(k, list(sample))}, {sps.moment(sample, k)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9566950",
   "metadata": {},
   "source": [
    "<strong>Плотность распределения</strong> это первая производная функции распределения случайной величины.\n",
    "Площадь между осью значений случайных величин и кривой плотности распределения равна <i>единице</i>.\n",
    "\n",
    "\n",
    "<strong>Плотность нормального распределения</strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "dac70863",
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw(p, x_min, x_max, y_max, grid_size = 100, **kwargs):\n",
    "    \n",
    "    grid = np.linspace(x_min, x_max, grid_size)\n",
    "    \n",
    "    plt.figure(figsize = (14, 5))\n",
    "    plt.plot(grid, p(grid, **kwargs), lw = 3)\n",
    "    plt.grid(ls = ':')\n",
    "    plt.xlim((x_min, x_max))\n",
    "    plt.ylim((None, y_max))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1233a50e",
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(sps.norm.pdf, -20, 20, 0.1, scale=5.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62d54ce9",
   "metadata": {},
   "source": [
    "<strong>Плотность равномерного распределения<strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9bec0fcb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(sps.uniform.pdf, -2, 5, 0.5, scale = 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4d3c117",
   "metadata": {},
   "source": [
    "<strong>Плотность экспоненциального распределения<strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7bb8055e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(sps.expon.pdf, -5, 10, 0.75, scale = 2)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}