| Journal: | Anais da Academia Brasileira de Ciencias |
| Database: | PERIÓDICA |
| System number: | 000418003 |
| ISSN: | 0001-3765 |
| Authors: | Lima, Stenio R1 Cordeiro, Gauss M1 |
| Institutions: | 1Universidade Federal de Pernambuco, Departamento de Estatistica, Recife, Pernambuco. Brasil |
| Year: | 2017 |
| Season: | Mar |
| Volumen: | 89 |
| Number: | 1 |
| Pages: | 3-18 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | We propose a new four-parameter lifetime model, called the extended log-logistic distribution, to generalize the two-parameter log-logistic model. The new model is quite flexible to analyze positive data. We provide some mathematical properties including explicit expressions for the ordinary and incomplete moments, probability weighted moments, mean deviations, quantile function and entropy measure. The estimation of the model parameters is performed by maximum likelihood using the BFGS algorithm. The flexibility of the new model is illustrated by means of an application to a real data set. We hope that the new distribution will serve as an alternative model to other useful distributions for modeling positive real data in many areas |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas aplicadas, Distribución logística, Función generatriz, Estimación de probabilidad máxima |
| Keyword: | Applied mathematics, Logistic distribution, Generating function, Maximum likelihood estimation |
| Full text: | Texto completo (Ver HTML) |
