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Student's T distribution PDF.
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Contents

C++
HTML

PDF

 doublePDF( double t double k )
Computes the probability density function of the Student T distribution with integer k > 0 degrees of freedom:

The T distribution has PDF and as shown below, denoted :

Example:

#include <stdio.h>
#include <codecogs/statistics/distributions/continuous/t/pdf.h>
using namespace Stats::Dists::Continuous::T;

int main()
{
for( double t=-2.5; t<2.5; t+=0.5 )
printf(  "PDF( %1.1f ) = %f \n", t, PDF(t, 20)  );
return getchar();
}

Output:

PDF( -2.5 ) = 0.022669
PDF( -2.0 ) = 0.058087
PDF( -1.5 ) = 0.128627
PDF( -1.0 ) = 0.236046
PDF( -0.5 ) = 0.345809
PDF( 0.0 ) = 0.393989
PDF( 0.5 ) = 0.345809
PDF( 1.0 ) = 0.236046
PDF( 1.5 ) = 0.128627
PDF( 2.0 ) = 0.058087

Parameters

 t the point at which to evaluate the PDF k the number of degrees of freedom of the T distribution

Authors

Will Bateman
Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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