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Format: VoseKumaraswamy(a, b, U)
The Kumaraswamy distribution is bounded at zero and 1 and can take a wide variety of shapes. It is therefore useful for many of the areas where the Beta distribution is used: the modeling of a prevalence, probability or fraction. Rescaling and shifting the distribution gives the Kumaraswamy4 distribution: a four-parameter bounded distribution like the Beta4 that can take on many shapes and any finite range. Examples of the Kumaraswamy distribution are given below:
The Kumaraswamy distribution is sadly not yet widely used but, for example, it has been applied to model the storage volume of a reservoir (Fletcher and Ponnambalam, 1996) and system design. It has a simple form for its density and cumulative distributions, and is very flexible like the Beta distribution (which does not have simple forms for these functions). It will probably have a lot more applications as it becomes better known (tell your friends).
Poondi Kumaraswamy (1930 - 1988) was a leading Indian engineer and hydrologist. He introduced the distribution in Kumaraswamy (1980).
VoseKumaraswamy generates values from this distribution or calculates a percentile
VoseKumaraswamyObject constructs a distribution object for this distribution
VoseKumaraswamyProb returns the probability density or cumulative distribution function for this distribution
VoseKumaraswamyProb10 returns the log10 of the probability density or cumulative distribution function
VoseKumaraswamyFit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution
VoseKumaraswamyFitObject constructs a distribution object of this distribution fitted to data
VoseKumaraswamyFitP returns the parameters of this distribution fitted to data
