Package org.anchoranalysis.math.histogram

Class HistogramStatistics

Object

org.anchoranalysis.math.histogram.HistogramStatistics

public class HistogramStatistics
extends Object

Further statistics that can be derived from a histogram in addition to those existing as direct methods of Histogram.

Method Summary

Modifier and Type	Method	Description
static double	coefficientOfVariation(Histogram histogram)	Calculates the coefficient-of-variation of a distribution of values, represented by their histogram.
static double	kurtosis(Histogram histogram)	Calculates the kurtosis of a distribution of values, represented by their histogram.
static double	skewness(Histogram histogram)	Calculates the skewness of a distribution of values, represented by their histogram.

Methods inherited from class java.lang.Object

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

Method Details

coefficientOfVariation

public static double coefficientOfVariation(Histogram histogram) throws OperationFailedException

Calculates the coefficient-of-variation of a distribution of values, represented by their histogram.

This is the ratio of the standard-deviation to the mean.

See coefficient-of-variation on Wikipedia.

Parameters:

histogram - the histogram to calculate from.

Returns:

the coefficient-of-variation.

Throws:

OperationFailedException - if the statistic is undefined, for example with zero mean.

skewness

public static double skewness(Histogram histogram) throws OperationFailedException

Calculates the skewness of a distribution of values, represented by their histogram.

This is the third standardized moment.

See skewness on Wikipedia.

Parameters:

histogram - the histogram to calculate from.

Returns:

the skewness.

Throws:

OperationFailedException - if the statistic is undefined, for example with zero variance.

kurtosis

public static double kurtosis(Histogram histogram) throws OperationFailedException

Calculates the kurtosis of a distribution of values, represented by their histogram.

This is fourth standardized moment.

See kurtosis on Wikipedia.

Parameters:

histogram - the histogram to calculate from.

Returns:

the kurtosis.

Throws:

OperationFailedException - if the statistic is undefined, for example with zero variance.