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Probabilities.ChiSquarePDF Method (double, int)
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Chi-squared probability density Function (PDF).

Syntax
C#
Visual Basic
public static double ChiSquarePDF(double x, int Nu);
Parameters
Parameters 
Description 
double x 
Function domain, real positive value. 
int Nu 
Defines distribution degrees of freedom. Nu must be a positive integer value. 
Returns

the Chi-squared probability density Function (PDF).

Remarks

Calculates the Chi-Squared probability density function, defined by the following equation: 

 

where n (Nu) is the degrees of freedom and G is Math387.Gamma function. One of the most important classes of quadratic functions in sampling theory is the class of functions reducible to sums of squares of Nu independent standard normals. This function is called a chi-squared function with Nu degrees of freedom. A chi-squared random variable is completely specified by stating its degrees of freedom Nu. The chi-squared distribution is just a special case of GammaPDF distribution (for gamma distribution parameter b=2).

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