Package org.drip.measure.discrete

Class PoissonDistribution

java.lang.Object

org.drip.measure.continuous.R1Univariate

org.drip.measure.discrete.PoissonDistribution

public class PoissonDistribution
extends R1Univariate

PoissonDistribution implements the Univariate Poisson Distribution using the specified Mean/Variance.

• Module = Computational Core Module
• Library = Numerical Analysis Library
• Project = R^d Continuous/Discrete Probability Measures
• Package = Antithetic, Quadratically Re-sampled, De-biased Distribution

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
PoissonDistribution(double dblLambda)	Construct a PoissonDistribution Instance

Method Summary

Modifier and Type	Method	Description
double	cumulative(double dblX)	Compute the cumulative under the distribution to the given value
double	density(double dblX)	Compute the Density under the Distribution at the given Variate
Array2D	histogram()	Retrieve the Univariate Weighted Histogram
double	incremental(double dblXLeft, double dblXRight)	Compute the Incremental under the Distribution between the 2 variates
double	invCumulative(double dblY)	Compute the inverse cumulative under the distribution corresponding to the given value
double	lambda()	Retrieve Lambda
double	mean()	Retrieve the Mean of the Distribution
double[]	support()	Lay out the Support of the PDF Range
double	variance()	Retrieve the Variance of the Distribution

Methods inherited from class org.drip.measure.continuous.R1Univariate

bPOE, centralMoment, cvar, differentialEntropy, excessKurtosis, expectedShortfall, fisherInformation, iqr, kullbackLeiblerDivergence, median, mode, momentGeneratingFunction, nonCentralMoment, populationCentralMeasures, probabilityGeneratingFunction, quantile, random, randomArray, skewness, supported, tukeyAnomaly, tukeyCriterion

Methods inherited from class java.lang.Object

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

Constructor Details

PoissonDistribution

public PoissonDistribution(double dblLambda)
                    throws java.lang.Exception

Construct a PoissonDistribution Instance

Parameters:

dblLambda - Lambda

Throws:

java.lang.Exception - Thrown if the inputs are invalid

Method Details

lambda

public double lambda()

Retrieve Lambda

Returns:

Lambda

support

public double[] support()

Description copied from class: R1Univariate

Lay out the Support of the PDF Range

Specified by:

support in class R1Univariate

Returns:

Support of the PDF Range

cumulative

public double cumulative(double dblX)
                  throws java.lang.Exception

Description copied from class: R1Univariate

Compute the cumulative under the distribution to the given value

Specified by:

cumulative in class R1Univariate

Parameters:

dblX - Variate to which the cumulative is to be computed

Returns:

The cumulative

Throws:

java.lang.Exception - Thrown if the inputs are invalid

incremental

public double incremental(double dblXLeft,
double dblXRight)
                   throws java.lang.Exception

Description copied from class: R1Univariate

Compute the Incremental under the Distribution between the 2 variates

Overrides:

incremental in class R1Univariate

Parameters:

dblXLeft - Left Variate to which the cumulative is to be computed

dblXRight - Right Variate to which the cumulative is to be computed

Returns:

The Incremental under the Distribution between the 2 variates

Throws:

java.lang.Exception - Thrown if the inputs are invalid

invCumulative

public double invCumulative(double dblY)
                     throws java.lang.Exception

Description copied from class: R1Univariate

Compute the inverse cumulative under the distribution corresponding to the given value

Overrides:

invCumulative in class R1Univariate

Parameters:

dblY - Value corresponding to which the inverse cumulative is to be computed

Returns:

The inverse cumulative

Throws:

java.lang.Exception - Thrown if the Input is invalid

density

public double density(double dblX)
               throws java.lang.Exception

Description copied from class: R1Univariate

Compute the Density under the Distribution at the given Variate

Specified by:

density in class R1Univariate

Parameters:

dblX - Variate at which the Density needs to be computed

Returns:

The Density

Throws:

java.lang.Exception - Thrown if the input is invalid

mean

public double mean()

Description copied from class: R1Univariate

Retrieve the Mean of the Distribution

Specified by:

mean in class R1Univariate

Returns:

The Mean of the Distribution

variance

public double variance()

Description copied from class: R1Univariate

Retrieve the Variance of the Distribution

Specified by:

variance in class R1Univariate

Returns:

The Variance of the Distribution

histogram

public Array2D histogram()

Description copied from class: R1Univariate

Retrieve the Univariate Weighted Histogram

Overrides:

histogram in class R1Univariate

Returns:

The Univariate Weighted Histogram