The beta modified Weibull distribution

Springer Science and Business Media LLC - Tập 16 - Trang 409-430 - 2010
Giovana O. Silva1, Edwin M. M. Ortega1, Gauss M. Cordeiro2
1ESALQ, Universidade de São Paulo, Piracicaba, Brazil
2DEINFO, Universidade Federal Rural de Pernambuco, Recife, Brazil

Tóm tắt

A five-parameter distribution so-called the beta modified Weibull distribution is defined and studied. The new distribution contains, as special submodels, several important distributions discussed in the literature, such as the generalized modified Weibull, beta Weibull, exponentiated Weibull, beta exponential, modified Weibull and Weibull distributions, among others. The new distribution can be used effectively in the analysis of survival data since it accommodates monotone, unimodal and bathtub-shaped hazard functions. We derive the moments and examine the order statistics and their moments. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set is used to illustrate the importance and flexibility of the new distribution.

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