IMSL C# Numerical Library

Cdf.InverseNormal Method 

Evaluates the inverse of the normal (Gaussian) cumulative probability distribution function.

public static double InverseNormal(
   double p
);

Parameters

p
A double specifying the probability at which the function is to be evaluated.

Return Value

A double specifying the probability that a standard normal random variable takes a value less than or equal to this value is p.

Remarks

Method InverseNormal evaluates the inverse of the distribution function, \Phi, of a standard normal (Gaussian) random variable, that is, InverseNormal ({\rm p})=\Phi-1(p), where

\Phi \left( x \right) = \frac{1}{{\sqrt 
            {2\pi } }}\int_{ - \infty }^x {e^{ - t^2 /2} dt}

The value of the distribution function at the point x is the probability that the random variable takes a value less than or equal to x. The standard normal distribution has a mean of 0 and a variance of 1.

See Also

Cdf Class | Imsl.Stat Namespace | Example