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RESEARCH PRODUCT

Moments for Some Kumaraswamy Generalized Distributions

Rejane Dos S. B. BagerGauss M. Cordeiro

subject

Statistics and ProbabilityNormal distributionSpecial functionsMathematical analysisGeneralized gamma distributionGeneralized beta distributionGeneralized integer gamma distributionLinear combinationInverse distributionVariance-gamma distributionMathematics

description

Explicit expansions for the moments of some Kumaraswamy generalized (Kw-G) distributions (Cordeiro and de Castro, 2011) are derived using special functions. We explore the Kw-normal, Kw-gamma, Kw-beta, Kw-t, and Kw-F distributions. These expressions are given as infinite weighted linear combinations of well-known special functions for which numerical routines are readily available.

https://doi.org/10.1080/03610926.2013.799690