Package de.uka.ipd.sdq.probfunction.math.apache.impl

Class PoissonDistribution

java.lang.Object

de.uka.ipd.sdq.probfunction.math.apache.impl.AbstractDiscretePDF

de.uka.ipd.sdq.probfunction.math.apache.impl.PoissonDistribution

All Implemented Interfaces:

IDiscretePDF, IPoissonDistribution, IProbabilityDensityFunction, IProbabilityFunction

public class PoissonDistribution
extends AbstractDiscretePDF
implements IPoissonDistribution

Field Summary

Fields inherited from class de.uka.ipd.sdq.probfunction.math.apache.impl.AbstractDiscretePDF

internalFunction, sampleDrawer

Constructor Summary

Constructors

Constructor	Description
PoissonDistribution(double lambda)

Method Summary

Modifier and Type	Method	Description
double	getArithmeticMeanValue()	For a probability function, whose domain is integer or real the arithmetic mean - the sum of all measurements divided by the number of observations in the data set - is returned.
double	getLowerDomainBorder()	Returns the smallest values of the domain.
double	getMean()	Access the mean of this distribution.
Object	getMedian()	A median is a number dividing the higher half of a sample, a population, or a probability distribution from the lower half.
Object	getPercentile(int p)	In descriptive statistics, the 'p'th percentile is a scale value for a data series equal to the p/100 quantile.
double	getStandardDeviation()
double	getXinf()	Returns xb such that the probability density is 0 everywhere outside the interval [xa, xb],
double	getXsup()	Returns xa such that the probability density is 0 everywhere outside the interval [xa, xb]
boolean	hasOrderedDomain()	If the domain of the probability functions is ordered, true is returned; false otherwise.

Methods inherited from class de.uka.ipd.sdq.probfunction.math.apache.impl.AbstractDiscretePDF

add, cdf, cdf, checkConstrains, div, drawSample, getCoefficientOfVariance, getCumulativeFunction, getFourierTransform, getInverseFourierTransform, getProbabilitySum, getUnit, getVariance, greaterThan, inverseF, isInFrequencyDomain, isInTimeDomain, lessThan, mult, probabilisticEquals, probability, scale, shiftDomain, stretchDomain, sub

Methods inherited from class java.lang.Object

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

Methods inherited from interface de.uka.ipd.sdq.probfunction.math.IDiscretePDF

cdf, getVariance, inverseF, probability

Methods inherited from interface de.uka.ipd.sdq.probfunction.math.IProbabilityDensityFunction

add, div, drawSample, getCumulativeFunction, getFourierTransform, getInverseFourierTransform, greaterThan, lessThan, mult, probabilisticEquals, scale, shiftDomain, stretchDomain, sub

Methods inherited from interface de.uka.ipd.sdq.probfunction.math.IProbabilityFunction

checkConstrains, getProbabilitySum, getUnit, isInFrequencyDomain, isInTimeDomain

Constructor Details

PoissonDistribution

public PoissonDistribution(double lambda)

Method Details

getStandardDeviation

public double getStandardDeviation()

Specified by:

getStandardDeviation in interface IDiscretePDF

getXinf

public double getXinf()

Description copied from interface: IDiscretePDF

Returns xb such that the probability density is 0 everywhere outside the interval [xa, xb],

Specified by:

getXinf in interface IDiscretePDF

Returns:

lower limit of support

getXsup

public double getXsup()

Description copied from interface: IDiscretePDF

Returns xa such that the probability density is 0 everywhere outside the interval [xa, xb]

Specified by:

getXsup in interface IDiscretePDF

Returns:

upper limit of support

getArithmeticMeanValue

public double getArithmeticMeanValue()
                              throws DomainNotNumbersException,
FunctionNotInTimeDomainException

Description copied from interface: IProbabilityFunction

For a probability function, whose domain is integer or real the arithmetic mean - the sum of all measurements divided by the number of observations in the data set - is returned.

Specified by:

getArithmeticMeanValue in interface IProbabilityFunction

Returns:

The arithmetic mean.

Throws:

DomainNotNumbersException

FunctionNotInTimeDomainException

getMedian

public Object getMedian()
                 throws UnorderedDomainException

Description copied from interface: IProbabilityFunction

A median is a number dividing the higher half of a sample, a population, or a probability distribution from the lower half. The median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one.

Specified by:

getMedian in interface IProbabilityFunction

Returns:

Object that is the border for the median.

Throws:

UnorderedDomainException

getPercentile

public Object getPercentile(int p)
                     throws IndexOutOfBoundsException,
UnorderedDomainException

Description copied from interface: IProbabilityFunction

In descriptive statistics, the 'p'th percentile is a scale value for a data series equal to the p/100 quantile. Thus:
* The 1st percentile cuts off lowest 1% of data
* The 98th percentile cuts off lowest 98% of data
* The 25th percentile is the first quartile
* The 50th percentile is the median.
One definition is that the pth percentile of n ordered values is obtained by first calculating the rank k = p(n+1)/100, rounded to the nearest integer and then taking the value that corresponds to that rank.

Specified by:

getPercentile in interface IProbabilityFunction

Parameters:

p - sets the percentile which shall be computed. p must take values between 0 and 100.

Returns:

Object that is the border for the 'p'th percentile.

Throws:

IndexOutOfBoundsException

UnorderedDomainException

hasOrderedDomain

public boolean hasOrderedDomain()

Description copied from interface: IProbabilityFunction

If the domain of the probability functions is ordered, true is returned; false otherwise.

Specified by:

hasOrderedDomain in interface IProbabilityFunction

Returns:

True, if the domain is ordered.

getLowerDomainBorder

public double getLowerDomainBorder()

Description copied from interface: IProbabilityDensityFunction

Returns the smallest values of the domain. At the moment this will be zero. However, future implementations might allow arbitrary values here.

Specified by:

getLowerDomainBorder in interface IProbabilityDensityFunction

Returns:

Smallest value of the domain.

getMean

public double getMean()

Description copied from interface: IPoissonDistribution

Access the mean of this distribution.

Specified by:

getMean in interface IDiscretePDF

Specified by:

getMean in interface IPoissonDistribution

Returns:

the mean value.