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https://hdl.handle.net/10495/31265| Título : | Distributions of sum, difference, product and quotient of independent noncentral beta type 3 variables |
| Autor : | Nagar, Daya Krishna Ramírez Vanegas, Yeison Arley |
| metadata.dc.subject.*: | Beta distribution First hypergeometric function of Appell Gauss hypergeometric function Non-central distribution Transformation |
| Fecha de publicación : | 2013 |
| Editorial : | Sciencedomain International |
| Citación : | Nagar, D. y Ramírez-Vanegas, Y. (2013). Distribuciones de Suma, Diferencia, Producto y Cociente de Variables Beta Tipo 3 No Centrales Independientes. Revista de Avances en Matemáticas e Informática , 3 (1), 12-23. https://doi.org/10.9734/BJMCS/2013/1895 |
| Resumen : | ABSTRACT: Let X and Y be independent random variables, X having a gamma distribution with shape parameter a and Y having a non-central gamma distribution with shape and non-centrality parameters b and δ, respectively. Define Z = X/(X + 2Y ). Then, the random variable Z has a non-central beta type 3 distribution, Z ∼ NCB3(a, b; δ). In this article we derive density functions of sum, difference, product and quotient of two independent random variables each having non central beta type 3 distribution. These density functions are expressed in series involving first hypergeometric function of Appell. |
| ISSN : | 2231-0851 |
| metadata.dc.identifier.doi: | 10.9734/BJMCS/2013/1895 |
| metadata.dc.identifier.url: | https://journaljamcs.com/index.php/JAMCS/article/view/22421 |
| Aparece en las colecciones: | Artículos de Revista en Ciencias Exactas y Naturales |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| NagarDaya_2013_Distributions-Sum.pdf | Artículo de investigación | 348.79 kB | Adobe PDF | Visualizar/Abrir |
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