Generalized Bivariate Kummer-Beta Distribution

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DOI:

https://doi.org/10.17230/ingciencia.16.32.1

Keywords:

Beta function, beta distribution, entropy, bivariate distribution, gamma function, Kummer-beta distribution

Abstract

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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Author Biographies

  • Daya K. Nagar, Universidad de Antioquia

    PhD in Science, profesor titular, Departamento de Matemáticas, Universidad de Antioquia, Medellín, Colombia.

  • Edwin Zarrazola, Universidad de Antioquia

    Magíster en matemáticas, profesor asistente, Departamento de Matemáticas, Universidad de Antioquia, Medellín, Colombia.

  • Jessica Serna-Morales, Universidad Nacional de Colombia

    Magíster en Estadística. Universidad Nacional de Colombia, sede Medellín

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Kummer-Beta

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Published

2020-11-11

Issue

Vol. 16 No. 32 (2020)

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How to Cite

Nagar, D. K., Zarrazola, E., & Serna-Morales, J. (2020). Generalized Bivariate Kummer-Beta Distribution. Ingeniería Y Ciencia, 16(32), 7-31. https://doi.org/10.17230/ingciencia.16.32.1

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