The gamma-Weibull distribution revisited



Título del documento: The gamma-Weibull distribution revisited
Revista: Anais da Academia Brasileira de Ciencias
Base de datos: PERIÓDICA
Número de sistema: 000365145
ISSN: 0001-3765
Autores: 1
2
Instituciones: 1University of Rijeka, Faculty of Maritime Studies, Rijeka. Croacia
2Jai Narain Vyas University, Department of Mathematics and Statistics, Jodhpur, Rajasthan. India
Año:
Periodo: Jun
Volumen: 82
Número: 2
Paginación: 513-520
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental
Resumen en inglés The five parameter gamma-Weibull distribution has been introduced by Leipnik and Pearce (2004). Nadarajah and Kotz (2007) have simplified it into four parameter form, using hypergeometric functions in some special cases. We show that the probability distribution function, all moments of positive order and the characteristic function of gamma-Weibull distribution of a random variable can be explicitely expressed in terms of the incomplete confluent Fox-Wright Psi-function, which is recently introduced by Srivastava and Pogány (2007). In the same time, we generalize certain results by Nadarajah and Kotz that follow as special cases of our findings
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Matemáticas puras,
Distribución gamma,
Distribución de Weibull,
Confluente Fox-Wright 1Ψ0,
Confluente incompleta Fox-Wright 1Ψ0
Keyword: Mathematics,
Applied mathematics,
Pure mathematics,
Gamma distribution,
Weibull distribution,
Confluent Fox-Wright 1Ψ0,
Incomplete confluent Fox-Wright 1Ψ0
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