| Journal: | Anais da Academia Brasileira de Ciencias |
| Database: | PERIÓDICA |
| System number: | 000365145 |
| ISSN: | 0001-3765 |
| Authors: | Pogany, Tibor k1 Saxena, Ram k2 |
| Institutions: | 1University of Rijeka, Faculty of Maritime Studies, Rijeka. Croacia 2Jai Narain Vyas University, Department of Mathematics and Statistics, Jodhpur, Rajasthan. India |
| Year: | 2010 |
| Season: | Jun |
| Volumen: | 82 |
| Number: | 2 |
| Pages: | 513-520 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental |
| English abstract | 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 |
| Disciplines: | Matemáticas |
| Keyword: | 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 |
| Full text: | Texto completo (Ver PDF) |
