| Journal: | Anais da Academia Brasileira de Ciencias |
| Database: | PERIÓDICA |
| System number: | 000435959 |
| ISSN: | 0001-3765 |
| Authors: | Silva, Renilma P. da1 Cysneiros, Audrey Helen M.A1 Cordeiro, Gauss M1 Tablada, Claudio Javier3 |
| Institutions: | 1Universidade Federal de Pernambuco, Centro de Ciencias Exatas e da Natureza, Recife, Pernambuco. Brasil 2Universidade Federal do Rio Grande do Norte, Centro de Ensino Superior do Serido, Caico, Rio Grande do Norte. Brasil 3Universidade Federal da Paraiba, Centro de Ciencias Exatas e da Natureza, Joao Pessoa, Paraiba. Brasil |
| Year: | 2020 |
| Volumen: | 92 |
| Number: | 3 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, descriptivo |
| English abstract | The transmuted family of distributions has been receiving increased attention over the last few years. In this paper, we generalize the Marshall-Olkin extended Lomax distribution using the quadratic rank transmutation map to obtain the transmuted Marshall-Olkin extended Lomax distribution. Several properties of the new distribution are discussed including the hazard rate function, ordinary and incomplete moments, characteristic function and order statistics. We provide an estimation procedure by the maximum likelihood method and a simulation study to assess the performance of the new distribution. We prove empirically the flexibility of the new model by means of an application to a real data set. It is superior to other three and four parameter lifetime distributions |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas aplicadas, Distribución generalizada, Análisis de tiempo de vida, Distribucion lomax, Familia de Marshall-Olkin, Familia transmutada |
| Keyword: | Applied mathematics, Generalized distribution, Lifetime analysis, Lomax distribution, Marshall-Olkin family, Transmuted family |
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