Sympy Mixture Model Moments Test

Sympy Mixture Model Test.ipynb

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     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
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   "source": [
    "%pylab notebook\n",
    "import sympy.stats\n",
    "import sympy.stats as sps\n",
    "import sympy as sp"
   ]
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   "source": [
    "I = sps.Bernoulli('I', sp.Symbol('pi', positive=True))\n",
    "X_1 = sps.Normal('X_1', sp.Symbol('mu_1', real=True), sp.Symbol('sigma_1', positive=True))\n",
    "X_2 = sps.Normal('X_2', sp.Symbol('mu_2', real=True), sp.Symbol('sigma_2', positive=True))"
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   "outputs": [
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     "data": {
      "text/plain": [
       "mu_1*pi + mu_2*(-pi + 1)"
      ]
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     "execution_count": 8,
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   "source": [
    "sps.E(I*X_1 + (1-I)*X_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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   "outputs": [],
   "source": [
    "sps.variance(I*X_1 + (1-I)*X_2)"
   ]
  }
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