toolkit/javascript/d3/examples/qq/stats.js
author Nicolas Sauret <nicolas.sauret@iri.centrepompidou.fr>
Fri, 18 Apr 2014 14:31:58 +0200
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set up second level for navigation
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// Sample from a normal distribution with mean 0, stddev 1.
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function normal() {
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  var x = 0, y = 0, rds, c;
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  do {
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    x = Math.random() * 2 - 1;
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    y = Math.random() * 2 - 1;
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    rds = x * x + y * y;
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  } while (rds == 0 || rds > 1);
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  c = Math.sqrt(-2 * Math.log(rds) / rds); // Box-Muller transform
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  return x * c; // throw away extra sample y * c
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}
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// Simple 1D Gaussian (normal) distribution
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function normal1(mean, deviation) {
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  return function() {
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    return mean + deviation * normal();
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  };
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}
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// Gaussian Mixture Model (k=3) fit using E-M algorithm
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function normal3(dd) {
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  return function() {
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    var r = Math.random(),
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        i = r < dd[0][2] ? 0 : r < dd[0][2] + dd[1][2] ? 1 : 2,
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        d = dd[i];
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    return d[0] + Math.sqrt(d[1]) * normal();
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  }
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}