1<?xml version='1.0'?> 2<!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN' 3 'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd' 4 [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]> 5<html xmlns='http://www.w3.org/1999/xhtml'> 6<head><title>skew_normal_pdf</title> 7<!-- MathML created with MathCast Equation Editor version 0.9 --> 8</head> 9<body> 10<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> 11 <mrow> 12 <mfrac> 13 <mn>1</mn> 14 <mfenced> 15 <mrow> 16 <mi>ω</mi> 17 <mi>π</mi> 18 </mrow> 19 </mfenced> 20 </mfrac> 21 <msup> 22 <mi>e</mi> 23 <mo>−</mo> 24 </msup> 25 <mfrac> 26 <msup> 27 <mfenced> 28 <mrow> 29 <mi>x</mi> 30 <mo>−</mo> 31 <mi>ξ</mi> 32 </mrow> 33 </mfenced> 34 <mn>2</mn> 35 </msup> 36 <mfenced> 37 <mrow> 38 <mn>2</mn> 39 <msup> 40 <mi>ω</mi> 41 <mn>2</mn> 42 </msup> 43 </mrow> 44 </mfenced> 45 </mfrac> 46 <msubsup> 47 <mo>∫</mo> 48 <mrow> 49 <mo>−</mo> 50 <mi>∞</mi> 51 </mrow> 52 <mfenced> 53 <mrow> 54 <mi>α</mi> 55 <mfenced> 56 <mrow> 57 <mfrac> 58 <mfenced> 59 <mrow> 60 <mi>x</mi> 61 <mo>−</mo> 62 <mi>ξ</mi> 63 </mrow> 64 </mfenced> 65 <mi>ω</mi> 66 </mfrac> 67 </mrow> 68 </mfenced> 69 </mrow> 70 </mfenced> 71 </msubsup> 72 <msup> 73 <mi>e</mi> 74 <mo>−</mo> 75 </msup> 76 <mfrac> 77 <msup> 78 <mi>t</mi> 79 <mn>2</mn> 80 </msup> 81 <mn>2</mn> 82 </mfrac> 83 <mspace width="1em"/> 84 <mi>d</mi> 85 <mi>t</mi> 86 </mrow> 87</math> 88</body> 89</html>