# Class NormalDistribution

java.lang.Object
net.finmath.functions.NormalDistribution

public class NormalDistribution extends Object
Version:
1.0
Author:
Christian Fries
• ## Method Summary

Modifier and Type
Method
Description
static double
cumulativeDistribution(double x)
Cumulative distribution function of the standard normal distribution.
static double
density(double x)
Returns the value of the density at x.
static double
inverseCumulativeDistribution(double p)
Inverse of the cumulative distribution function of the standard normal distribution using Jakarta commons-math
static double
inverseCumulativeNormalDistributionWichura(double p)
Inverse of the cumulative distribution function of the standard normal distribution Java Version of Michael J.

### Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
• ## Method Details

• ### density

public static double density(double x)
Returns the value of the density at x.
Parameters:
x - Argument
Returns:
The value of the density at x.
• ### cumulativeDistribution

public static double cumulativeDistribution(double x)
Cumulative distribution function of the standard normal distribution. The implementation is currently using Jakarta commons-math
Parameters:
x - A sample point
Returns:
The probability of being below x, given x is standard normal
• ### inverseCumulativeDistribution

public static double inverseCumulativeDistribution(double p)
Inverse of the cumulative distribution function of the standard normal distribution using Jakarta commons-math
Parameters:
p - The probability
Returns:
The quantile
• ### inverseCumulativeNormalDistributionWichura

public static double inverseCumulativeNormalDistributionWichura(double p)
Inverse of the cumulative distribution function of the standard normal distribution Java Version of Michael J. Wichura: Algorithm AS241 Appl. Statist. (1988) Vol. 37, No. 3 Produces the normal deviate z corresponding to a given lower tail area of p; z is accurate to about 1 part in 10**16. The hash sums below are the sums of the mantissas of the coefficients. they are included for use in checking transcription.
Parameters:
p - The probability (quantile).
Returns:
The argument of the cumulative distribution function being assigned to p.