General results for the Marshall and Olkin's family of distributions
| Autor: | WAGNER BARRETO-SOUZA, ARTUR J. LEMONTE, GAUSS M. CORDEIRO |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Anais da Academia Brasileira de Ciências, Vol 85, Iss 1, Pp 3-21 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1678-2690 0001-3765 |
| DOI: | 10.1590/S0001-37652013000100002 |
| Popis: | Abstract Marshall and Olkin (1997) introduced an interesting method of adding a parameter to a well-established distribution. However, they did not investigate general mathematical properties of their family of distributions. We provide for this family of distributions general expansions for the density function, explicit expressions for the moments and moments of the order statistics. Several especial models are investigated. We discuss estimation of the model parameters. An application to a real data set is presented for illustrative purposes. |
| Databáze: | Directory of Open Access Journals |
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