java.lang.Object
- org.mariuszgromada.math.mxparser.mathcollection.ProbabilityDistributions

```
public final class ProbabilityDistributions
extends Object
```
ProbabilityDistributions - random number generators, PDF - Probability Distribution Functions, CDF - Cumulative Distribution Functions, QNT - Quantile Functions (Inverse Cumulative Distribution Functions).

Version:

4.3.0

Author:

Mariusz Gromada
mariuszgromada.org@gmail.com
MathSpace.pl
MathParser.org - mXparser project page
mXparser on GitHub
mXparser on SourceForge
mXparser on Bitbucket
mXparser on CodePlex
Janet Sudoku - project web page
Janet Sudoku on GitHub
Janet Sudoku on CodePlex
Janet Sudoku on SourceForge
Janet Sudoku on BitBucket
Scalar Free
Scalar Pro
ScalarMath.org

Field Summary

Fields
Modifier and Type Field Description

static Random randomGenerator
Random number generator

Constructor Summary

Constructors
Constructor Description

ProbabilityDistributions()

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static double`	`cdfNormal(double x, double mean, double stddev)`	CDF - Cumulative Distribution Function - Normal distribution N(mean, stddev).
`static double`	`cdfUniformContinuous(double x, double a, double b)`	CDF - Cumulative Distribution Function - Uniform Continuous distribution over interval [a, b).
`static double`	`pdfNormal(double x, double mean, double stddev)`	PDF - Probability Distribution Function - Normal distribution N(mean, stddev).
`static double`	`pdfUniformContinuous(double x, double a, double b)`	PDF - Probability Distribution Function - Uniform Continuous distribution over interval [a, b).
`static double`	`qntNormal(double q, double mean, double stddev)`	QNT - Quantile Function - Normal distribution N(mean, stddev).
`static double`	`qntUniformContinuous(double q, double a, double b)`	QNT - Quantile Function - Uniform Continuous distribution over interval [a, b).
`static double`	`randomUniformContinuous()`	Random number from Uniform Continuous distribution over interval [0, 1).
`static int`	`rndIndex(int n)`	Random index from 0 to n-1,
`static int`	`rndIndex(int n, Random rnd)`	Random index from 0 to n-1,
`static int`	`rndInteger()`	Random integer.
`static double`	`rndInteger(int a, int b)`	Random number from Uniform Discrete distribution.
`static double`	`rndInteger(int a, int b, Random rnd)`	Random number from Uniform Discrete distribution.
`static int`	`rndInteger(Random rnd)`	Random integer.
`static double`	`rndNormal(double mean, double stddev)`	Random number from normal distribution N(mean, stddev).
`static double`	`rndNormal(double mean, double stddev, Random rnd)`	Random number from normal distribution N(mean, stddev).
`static double`	`rndUniformContinuous(double a, double b)`	Random number from dUniform Continuous distribution over interval [a, b).
`static double`	`rndUniformContinuous(double a, double b, Random rnd)`	Random number from Uniform Continuous distribution over interval [a, b).
`static double`	`rndUniformContinuous(Random rnd)`	Random number from Uniform Continuous distribution over interval [0, 1).

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Field Detail
  - randomGenerator
```
public static Random randomGenerator
```
    Random number generator
- Constructor Detail
  - ProbabilityDistributions
```
public ProbabilityDistributions()
```
- Method Detail
  - rndUniformContinuous
```
public static final double rndUniformContinuous(double a,
                                                double b,
                                                Random rnd)
```
    Random number from Uniform Continuous distribution over interval [a, b).
    
    Parameters:
    
    a - Interval limit - left / lower.
    
    b - Interval limit - right / upper.
    
    rnd - Random number generator.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a - otherwise returns random number.
  - rndUniformContinuous
```
public static final double rndUniformContinuous(double a,
                                                double b)
```
    Random number from dUniform Continuous distribution over interval [a, b).
    
    Parameters:
    
    a - Interval limit - left / lower.
    
    b - Interval limit - right / upper.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a - otherwise returns random number.
  - rndUniformContinuous
```
public static final double rndUniformContinuous(Random rnd)
```
    Random number from Uniform Continuous distribution over interval [0, 1).
    
    Parameters:
    
    rnd - Random number generator.
    
    Returns:
    
    Random number.
  - randomUniformContinuous
```
public static final double randomUniformContinuous()
```
    Random number from Uniform Continuous distribution over interval [0, 1).
    
    Returns:
    
    Random number.
  - pdfUniformContinuous
```
public static final double pdfUniformContinuous(double x,
                                                double a,
                                                double b)
```
    PDF - Probability Distribution Function - Uniform Continuous distribution over interval [a, b).
    
    Parameters:
    
    x - Point to evaluate pdf function.
    
    a - Interval limit - left / lower.
    
    b - Interval limit - right / upper.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a - otherwise function value.
  - cdfUniformContinuous
```
public static final double cdfUniformContinuous(double x,
                                                double a,
                                                double b)
```
    CDF - Cumulative Distribution Function - Uniform Continuous distribution over interval [a, b).
    
    Parameters:
    
    x - Point to evaluate cdf function.
    
    a - Interval limit - left / lower.
    
    b - Interval limit - right / upper.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a - otherwise function value.
  - qntUniformContinuous
```
public static final double qntUniformContinuous(double q,
                                                double a,
                                                double b)
```
    QNT - Quantile Function - Uniform Continuous distribution over interval [a, b). (Inverse of Cumulative Distribution Function).
    
    Parameters:
    
    q - Quantile.
    
    a - Interval limit - left / lower.
    
    b - Interval limit - right / upper.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a or q is lower than 0 or q is greater than 1 - otherwise function value.
  - rndInteger
```
public static final double rndInteger(int a,
                                      int b,
                                      Random rnd)
```
    Random number from Uniform Discrete distribution. over set interval (a, a+1, ..., b-1, b).
    
    Parameters:
    
    a - Interval limit - left / lower.
    
    b - Interval limit - right / upper.
    
    rnd - Random number generator.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a - otherwise returns random number.
  - rndInteger
```
public static final double rndInteger(int a,
                                      int b)
```
    Random number from Uniform Discrete distribution. over set interval (a, a+1, ..., b-1, b).
    
    Parameters:
    
    a - Interval limit - left / lower.
    
    b - Interval limit - right / upper.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a - otherwise returns random number.
  - rndInteger
```
public static final int rndInteger(Random rnd)
```
    Random integer.
    
    Parameters:
    
    rnd - Random number generator.
    
    Returns:
    
    Returns random number.
  - rndIndex
```
public static final int rndIndex(int n,
                                 Random rnd)
```
    Random index from 0 to n-1,
    
    Parameters:
    
    n - Bound.
    
    rnd - Random number generator.
    
    Returns:
    
    if n < 0 returns -1, otherwise random index.
  - rndIndex
```
public static final int rndIndex(int n)
```
    Random index from 0 to n-1,
    
    Parameters:
    
    n - Bound.
    
    Returns:
    
    if n < 0 returns -1, otherwise random index.
  - rndInteger
```
public static final int rndInteger()
```
    Random integer.
    
    Returns:
    
    Double.NaN if a or b is null, or b is lower than a - otherwise returns random number.
  - rndNormal
```
public static final double rndNormal(double mean,
                                     double stddev,
                                     Random rnd)
```
    Random number from normal distribution N(mean, stddev).
    
    Parameters:
    
    mean - Mean value.
    
    stddev - Standard deviation.
    
    rnd - Random number generator.
    
    Returns:
    
    Double.NaN if mean or stddev or rnd is null or stddev is lower than 0 - otherwise random number.
  - rndNormal
```
public static final double rndNormal(double mean,
                                     double stddev)
```
    Random number from normal distribution N(mean, stddev).
    
    Parameters:
    
    mean - Mean value.
    
    stddev - Standard deviation.
    
    Returns:
    
    Double.NaN if mean or stddev is null or stddev is lower than 0 - otherwise random number.
  - pdfNormal
```
public static final double pdfNormal(double x,
                                     double mean,
                                     double stddev)
```
    PDF - Probability Distribution Function - Normal distribution N(mean, stddev).
    
    Parameters:
    
    x - Point to evaluate pdf function.
    
    mean - Mean value.
    
    stddev - Standard deviation.
    
    Returns:
    
    Double.NaN if mean or stddev is null or stddev is lower than 0 - otherwise function value.
  - cdfNormal
```
public static final double cdfNormal(double x,
                                     double mean,
                                     double stddev)
```
    CDF - Cumulative Distribution Function - Normal distribution N(mean, stddev).
    
    Parameters:
    
    x - Point to evaluate pdf function.
    
    mean - Mean value.
    
    stddev - Standard deviation.
    
    Returns:
    
    Double.NaN if mean or stddev is null or stddev is lower than 0 - otherwise function value.
  - qntNormal
```
public static final double qntNormal(double q,
                                     double mean,
                                     double stddev)
```
    QNT - Quantile Function - Normal distribution N(mean, stddev). (Inverse of Cumulative Distribution Function).
    
    Parameters:
    
    q - Quantile.
    
    mean - Mean value.
    
    stddev - Standard deviation.
    
    Returns:
    
    Double.NaN if mean or stddev is null or stddev is lower than 0 or q is lower than 0 or q is greater than 1 - otherwise function value.

Class ProbabilityDistributions

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

randomGenerator

Constructor Detail

ProbabilityDistributions

Method Detail

rndUniformContinuous

rndUniformContinuous

rndUniformContinuous

randomUniformContinuous

pdfUniformContinuous

cdfUniformContinuous

qntUniformContinuous

rndInteger

rndInteger

rndInteger

rndIndex

rndIndex

rndInteger

rndNormal

rndNormal

pdfNormal

cdfNormal

qntNormal