Lifetime Data Anal - The beta modified Weibull distribution.

Tópicos

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Resumo

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.

Resumo Limpo

fiveparamet distribut socal beta modifi weibul distribut defin studi new distribut contain special submodel sever import distribut discuss literatur general modifi weibul beta weibul exponenti weibul beta exponenti modifi weibul weibul distribut among other new distribut can use effect analysi surviv data sinc accommod monoton unimod bathtubshap hazard function deriv moment examin order statist moment propos method maximum likelihood estim model paramet obtain observ inform matrix real data set use illustr import flexibl new distribut

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