Four-Parameter Kumaraswamy distribution



Format: Kumaraswamy4(a, b, min, max)

 

The Four-Parameter Kumaraswamy distribution is a stretched and shifted version of the Kumaraswamy distribution. It is bounded at min and max and can take a wide variety of shapes. It is therefore useful for many of the areas where the Four-Parameter Beta distribution is used. Examples of the Kumaraswamy4 distribution are given below:

 

Uses

See Kumaraswamy distribution and Four-Parameter Beta distribution.

ModelRisk functions added to Microsoft Excel for the Four-Parameter Kumaraswamy distribution

VoseKumaraswamy4 generates random values from this distribution for Monte Carlo simulation, or calculates a percentile if used with a U parameter.

VoseKumaraswamy4Object constructs a distribution object for this distribution.

VoseKumaraswamy4Prob returns the probability density or cumulative distribution function for this distribution.

VoseKumaraswamy4Prob10 returns the log10 of the probability density or cumulative distribution function.

VoseKumaraswamy4Fit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution.

VoseKumaraswamy4FitObject constructs a distribution object of this distribution fitted to data.

VoseKumaraswamy4FitP returns the parameters of this distribution fitted to data.

 

Four-Parameter Kumaraswamy distribution equations

 

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