diff --git a/03-Gaussians.ipynb b/03-Gaussians.ipynb index fcb547e8..47b761ae 100644 --- a/03-Gaussians.ipynb +++ b/03-Gaussians.ipynb @@ -325,7 +325,7 @@ { "data": { "text/plain": [ - "1.500904" + "1.50053" ] }, "execution_count": 7, @@ -569,7 +569,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -581,8 +581,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "mean = 1.784\n", - "std = 0.122\n" + "mean = 1.808\n", + "std = 0.133\n" ] } ], @@ -611,7 +611,7 @@ { "data": { "text/plain": [ - "67.0" + "68.0" ] }, "execution_count": 14, @@ -1243,7 +1243,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "e228159ee6524ae7b8602a5f7bbb8719", + "model_id": "69760c5aa4694c629a52688ae1706038", "version_major": 2, "version_minor": 0 }, @@ -1284,11 +1284,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Computational Properties of Gaussians\n", + "## Computational Properties of Normally Distributed Random Variables\n", "\n", - "The discrete Bayes filter works by multiplying and adding arbitrary probability distributions. The Kalman filter uses Gaussians instead of arbitrary distributions, but the rest of the algorithm remains the same. This means we will need to multiply and add Gaussians. \n", + "The discrete Bayes filter works by multiplying and adding arbitrary probability random variables. The Kalman filter uses Gaussians instead of arbitrary random variables, but the rest of the algorithm remains the same. This means we will need to multiply and add Gaussian random variables (Gaussian random variable is just another way to say normally distributed random variable). \n", "\n", - "A remarkable property of Gaussians is that the sum of two independent normal variables (https://en.wikipedia.org/wiki/Sum_of_normally_distributed_random_variables) is also normally distributed! The product is not Gaussian, but proportional to a Gaussian. There we can say that the result of multipying two Gaussian distributions is a Gaussian function (recall function in this context means that the property that the values sum to one is not guaranteed).\n", + "A remarkable property of Gaussian random variables is that the sum of two independent Gaussian random variables is also normally distributed! The product is not Gaussian, but proportional to a Gaussian. There we can say that the result of multipying two Gaussian distributions is a Gaussian function (recall function in this context means that the property that the values sum to one is not guaranteed).\n", + "\n", + "Wikipedia has a good article on this property, and I also prove it at the end of this chapter. \n", + "https://en.wikipedia.org/wiki/Sum_of_normally_distributed_random_variables\n", "\n", "Before we do the math, let's test this visually. " ] @@ -1363,7 +1366,7 @@ "\\sigma^2 &=\\frac{\\sigma_1^2\\sigma_2^2}{\\sigma_1^2+\\sigma_2^2} \n", "\\end{aligned}$$\n", "\n", - "The sum of two Gaussians is given by\n", + "The sum of two Gaussian random variables is given by\n", "\n", "$$\\begin{gathered}\\mu = \\mu_1 + \\mu_2 \\\\\n", "\\sigma^2 = \\sigma^2_1 + \\sigma^2_2\n", @@ -1644,9 +1647,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 3.288 -3.775 3.438 -1.705 1.749 0.547 -2.377\n", - " 2.536 3.967 0.148 -0.517 -1.345 3.823 3.208\n", - " -2.016]\n" + "[ 2.269 2.485 -0.469 1.991 2.468 1.667 1.231\n", + " 4.577 2.56 0.224 -3.851 2.604 3.583 -1.623\n", + " 2.348]\n" ] } ], @@ -1787,7 +1790,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1836,7 +1839,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -1880,7 +1883,7 @@ { "data": { "text/plain": [ - "DescribeResult(nobs=5000, minmax=(2.222724807382221, 21.32167410917752), mean=9.989104234744794, variance=2.8553230337923, skewness=0.15497460179888736, kurtosis=1.6398788827582207)" + "DescribeResult(nobs=5000, minmax=(-0.19143741858944452, 20.804030812682086), mean=9.996901102331591, variance=2.7388116003856884, skewness=0.015276194207011526, kurtosis=1.622567142788295)" ] }, "execution_count": 46, @@ -1911,9 +1914,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "DescribeResult(nobs=10, minmax=(-1.784637523184542, 0.8924681681733383), mean=-0.22881195286774414, variance=0.837949617882781, skewness=-0.15972657251157002, kurtosis=-1.2071335093285533)\n", + "DescribeResult(nobs=10, minmax=(-1.2037202953168122, 0.894366248899801), mean=-0.18007426896541692, variance=0.43204122396032946, skewness=-0.08295117992362264, kurtosis=-0.9197042651911951)\n", "\n", - "DescribeResult(nobs=300000, minmax=(-4.568476596636942, 4.795180079517432), mean=0.0008895407644650146, variance=1.0026942676278923, skewness=0.0032953312659168284, kurtosis=0.011141552181355152)\n" + "DescribeResult(nobs=300000, minmax=(-4.75206637131407, 4.178833173976851), mean=-0.00047436810878343096, variance=0.9973760542573228, skewness=-0.0038868831924059035, kurtosis=-0.005797621180390955)\n" ] } ], @@ -2006,11 +2009,11 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Sum of Gaussians (Optional)\n", + "## Sum of Independent Gaussian Random Variables (Optional)\n", "\n", - "Likewise, this section is not important to read. Here I derive the equations for the sum of two Gaussians.\n", + "Likewise, this section is not important to read. Here I derive the equations for the sum of two independent Gaussian random variables. \n", "\n", - "The sum of two Gaussians is given by\n", + "The sum is given by\n", "\n", "$$\\begin{gathered}\\mu = \\mu_1 + \\mu_2 \\\\\n", "\\sigma^2 = \\sigma^2_1 + \\sigma^2_2\n",