08_Statistical_Moments-Skewness_and_Kurtosis.ipynb

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   "cell_type": "markdown",
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   "source": [
    "# 统计距 - 偏度和峰度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.stats as stats"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有时均值和方差不足以描述分布。当我们计算方差时，我们将均值附近的偏差平方。在偏差较大的情况下，我们不知道它们是正还是负。这是分布的偏度和对称性的由来。如果均值两侧是彼此镜像的，那么分布是对称的。如正态分布是对称的。具有均值 $\\mu$ 与标准差 $\\sigma$ 的 正态分布定义为 $$f(x) = \\frac{1}{\\sigma\\sqrt{2\\pi}}e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}$$"
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  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
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   "source": [
    "# Plot a normal distribution with mean = 0 and standard deviation = 2\n",
    "xs = np.linspace(-6, 6, 300)\n",
    "normal = stats.norm.pdf(xs)\n",
    "plt.plot(xs, normal);"
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