Generalized Bivariate Kummer-Beta Distribution

A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and entropies.

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Bibliographic Details
Published inIngeniería y ciencia (Medellín, Colombia) Vol. 16; no. 32; pp. 7 - 31
Main Authors Nagar, Daya K, Zarrazola, Edwin, Serna-Morales, Jessica
Format Journal Article
LanguageEnglish
Spanish
Published Medellín UNIVERSIDAD EAFIT 01.11.2020
Universidad EAFIT
Subjects
beta
beta distribution
Beta function
Bivariate analysis
bivariate distribution
distribución beta
distribución bivariada
distribución Kummer
entropy
entropía
Estadística
Función beta
función gama
gamma function
Hypergeometric functions
Kummer
Kummer-beta distribution
Matemáticas
Math
Probability distribution functions
Statistic
Universidad de Antioquia
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Summary:A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and entropies.
ISSN:1794-9165
2256-4314
DOI:10.17230/ingciencia.16.32.1