umontreal.iro.lecuyer.probdist
Class ConstantDist

java.lang.Object
  umontreal.iro.lecuyer.probdist.DiscreteDistribution
      umontreal.iro.lecuyer.probdist.ConstantDist

All Implemented Interfaces:

Distribution

public class ConstantDist
extends DiscreteDistribution

Represents a constant discrete distribution taking a single real value with probability 1. Its mass function is

p(x) = 1, for x = c,

and p(x) = 0 elsewhere.

Constructor Summary

ConstantDist(double c)
Constructs a new constant distribution with probability 1 at c.

Method Summary

double	getMean() Returns the mean E[X] = c.
double	getStandardDeviation() Returns the standard deviation = 0.
double	getVariance() Returns the variance Var[X] = 0.
double	inverseF(double u) Returns the inverse distribution function c = F-1(u).

Methods inherited from class umontreal.iro.lecuyer.probdist.DiscreteDistribution

barF, cdf, getN, getParams, getValue, getXinf, getXsup, prob, toString

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

ConstantDist

public ConstantDist(double c)

Constructs a new constant distribution with probability 1 at c.

Method Detail

getMean

public double getMean()

Returns the mean E[X] = c.

Specified by:

getMean in interface Distribution

Overrides:

getMean in class DiscreteDistribution

Returns:

c

getVariance

public double getVariance()

Returns the variance Var[X] = 0.

Specified by:

getVariance in interface Distribution

Overrides:

getVariance in class DiscreteDistribution

Returns:

0

getStandardDeviation

public double getStandardDeviation()

Returns the standard deviation = 0.

Specified by:

getStandardDeviation in interface Distribution

Overrides:

getStandardDeviation in class DiscreteDistribution

Returns:

0

inverseF

public double inverseF(double u)

Returns the inverse distribution function c = F^-1(u).

Specified by:

inverseF in interface Distribution

Overrides:

inverseF in class DiscreteDistribution

Parameters:

u - value in the interval (0, 1) for which the inverse distribution function is evaluated

Returns:

c