Bivariate Generalization of the Kummer-Beta Distribution
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| Format: | Artículo científico |
| Langue: | en |
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Universidad Nacional de Colombia
2011
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| _version_ | 1876474178149810176 |
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| author | Paula Andrea Bran-Cardona |
| author_facet | Paula Andrea Bran-Cardona |
| contents | Bivariate Generalization of the Kummer-Beta Distribution Paula Andrea Bran-Cardona Johanna Marcela Orozco-Castañeda Daya Krishna Nagar Física, Astronomía y Matemáticas Moments Transformation Beta distribution Bivariate distribution Dirichlet distribution In this article, we study several properties such as marginal and conditional distributions, joint moments, and mixture representation of the bivariate generalization of the Kummer-Beta distribution. To show the behavior of the density function, we give some graphs of the density for different values of the parameters. Finally, we derive the exact and approximate distribution of the product of two random variables which are distributed jointly as bivariate Kummer-Beta. The exact distribution of the product is derived as an infinite series involving Gauss hypergeometric function, whereas the beta distribution has been used as an approximate distribution. Further, to show the closeness of the approximation, we have compared the exact distribution and the approximate distribution by using several graphs. An application of the results derived in this article is provided to visibility data from Colombia. 2011 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89922501007 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.3 Vol.34 |
| format | Artículo científico |
| id | redalyc_89922501007 |
| institution | Redalyc |
| language | en |
| publishDate | 2011 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Bivariate Generalization of the Kummer-Beta Distribution Paula Andrea Bran-Cardona Física, Astronomía y Matemáticas Moments Transformation Beta distribution Bivariate distribution Dirichlet distribution Bivariate Generalization of the Kummer-Beta Distribution Paula Andrea Bran-Cardona Johanna Marcela Orozco-Castañeda Daya Krishna Nagar Física, Astronomía y Matemáticas Moments Transformation Beta distribution Bivariate distribution Dirichlet distribution In this article, we study several properties such as marginal and conditional distributions, joint moments, and mixture representation of the bivariate generalization of the Kummer-Beta distribution. To show the behavior of the density function, we give some graphs of the density for different values of the parameters. Finally, we derive the exact and approximate distribution of the product of two random variables which are distributed jointly as bivariate Kummer-Beta. The exact distribution of the product is derived as an infinite series involving Gauss hypergeometric function, whereas the beta distribution has been used as an approximate distribution. Further, to show the closeness of the approximation, we have compared the exact distribution and the approximate distribution by using several graphs. An application of the results derived in this article is provided to visibility data from Colombia. 2011 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89922501007 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.3 Vol.34 |
| title | Bivariate Generalization of the Kummer-Beta Distribution |
| topic | Física, Astronomía y Matemáticas Moments Transformation Beta distribution Bivariate distribution Dirichlet distribution |
| url | https://www.redalyc.org/articulo.oa?id=89922501007 |