de.lmu.ifi.dbs.elki.math.statistics.distribution

Class KappaDistribution

java.lang.Object

de.lmu.ifi.dbs.elki.math.statistics.distribution.AbstractDistribution

de.lmu.ifi.dbs.elki.math.statistics.distribution.KappaDistribution

All Implemented Interfaces:

Distribution

public class KappaDistribution
extends AbstractDistribution

Kappa distribution, by Hosking. TODO: add references.

Since:

0.6.0

Author:

Erich Schubert

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	KappaDistribution.Parameterizer Parameterization class

Field Summary

Fields

Modifier and Type	Field and Description
(package private) double	location Parameters: location and scale
(package private) double	scale Parameters: location and scale
(package private) double	shape1 Shape parameters.
(package private) double	shape2 Shape parameters.

Fields inherited from class de.lmu.ifi.dbs.elki.math.statistics.distribution.AbstractDistribution

random

Constructor Summary

Constructors

Constructor and Description
KappaDistribution(double location, double scale, double shape1, double shape2) Constructor.
KappaDistribution(double location, double scale, double shape1, double shape2, java.util.Random random) Constructor.
KappaDistribution(double location, double scale, double shape1, double shape2, RandomFactory random) Constructor.

Method Summary

Modifier and Type	Method and Description
double	cdf(double val) Return the cumulative density function at the given value.
static double	cdf(double val, double loc, double scale, double shape1, double shape2) Cumulative density function.
static double	logcdf(double val, double shape1, double shape2) Cumulative density function, for location = 0, scale = 1
static double	logcdf(double val, double loc, double scale, double shape1, double shape2) Cumulative density function.
double	logpdf(double val) Return the log density of an existing value
static double	logpdf(double val, double loc, double scale, double shape1, double shape2) Probability density function.
double	nextRandom() Generate a new random value
double	pdf(double val) Return the density of an existing value
static double	pdf(double val, double loc, double scale, double shape1, double shape2) Probability density function.
double	quantile(double val) Quantile aka probit (for normal) aka inverse CDF (invcdf, cdf^-1) function.
static double	quantile(double val, double loc, double scale, double shape1, double shape2) Quantile function.
java.lang.String	toString() Describe the distribution

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

location

double location

Parameters: location and scale

scale

double scale

Parameters: location and scale

shape1

double shape1

Shape parameters.

shape2

double shape2

Shape parameters.

Constructor Detail

KappaDistribution

public KappaDistribution(double location,
                         double scale,
                         double shape1,
                         double shape2)

Constructor.

Parameters:

location - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

KappaDistribution

public KappaDistribution(double location,
                         double scale,
                         double shape1,
                         double shape2,
                         java.util.Random random)

Constructor.

Parameters:

location - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

random - Random number generator

KappaDistribution

public KappaDistribution(double location,
                         double scale,
                         double shape1,
                         double shape2,
                         RandomFactory random)

Constructor.

Parameters:

location - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

random - Random number generator

Method Detail

pdf

public static double pdf(double val,
                         double loc,
                         double scale,
                         double shape1,
                         double shape2)

Probability density function.

Parameters:

val - Value

loc - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

Returns:

PDF

pdf

public double pdf(double val)

Description copied from interface: Distribution

Return the density of an existing value

Parameters:

val - existing value

Returns:

distribution density

logpdf

public static double logpdf(double val,
                            double loc,
                            double scale,
                            double shape1,
                            double shape2)

Probability density function.

Parameters:

val - Value

loc - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

Returns:

PDF

logpdf

public double logpdf(double val)

Description copied from interface: Distribution

Return the log density of an existing value

Parameters:

val - existing value

Returns:

log distribution density

cdf

public static double cdf(double val,
                         double loc,
                         double scale,
                         double shape1,
                         double shape2)

Cumulative density function.

Parameters:

val - Value

loc - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

Returns:

CDF

logcdf

public static double logcdf(double val,
                            double loc,
                            double scale,
                            double shape1,
                            double shape2)

Cumulative density function.

Parameters:

val - Value

loc - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

Returns:

CDF

logcdf

public static double logcdf(double val,
                            double shape1,
                            double shape2)

Cumulative density function, for location = 0, scale = 1

Parameters:

val - Value

shape1 - Shape parameter

shape2 - Shape parameter

Returns:

CDF

cdf

public double cdf(double val)

Description copied from interface: Distribution

Return the cumulative density function at the given value.

Parameters:

val - existing value

Returns:

cumulative density

quantile

public static double quantile(double val,
                              double loc,
                              double scale,
                              double shape1,
                              double shape2)

Quantile function.

Parameters:

val - Value

loc - Location

scale - Scale

shape1 - Shape parameter

shape2 - Shape parameter

Returns:

Quantile

quantile

public double quantile(double val)

Description copied from interface: Distribution

Quantile aka probit (for normal) aka inverse CDF (invcdf, cdf^-1) function.

Parameters:

val - Quantile to find

Returns:

Quantile position

nextRandom

public double nextRandom()

Description copied from interface: Distribution

Generate a new random value

Specified by:

nextRandom in interface Distribution

Overrides:

nextRandom in class AbstractDistribution

Returns:

new random value

toString

public java.lang.String toString()

Description copied from interface: Distribution

Describe the distribution

Specified by:

toString in interface Distribution

Overrides:

toString in class java.lang.Object

Returns:

description