23º SINAPE - Simpósio Nacional de Probabilidade e Estatística

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Título

NEW TWO-PARAMETER BIMODAL WEIBULL EXTENTION: A SIMULATION STUDY

Resumo

We introduce a two-parameter distribution by using the continuous-continuous compounding approach. The new model is an extension of the Weibull distribution, which is obtained by taking the minimum of two continuous independent random variables. The proposed distribution is more flexible than the Weibull, and other competitive two-parameter models, since its density allows bimodal, left-skewed, right-skewed and reversed-J shapes. We show how to perform point estimation on the parameters that index the proposed model by using maximum likelihood method and a Monte Carlo experiment is carried out to evaluate the performance of those estimators for finite sample sizes.

Palavras-chave

Bimodal distributions, compounding approach, Weibull generalizations.

Área

Análise de Sobrevivência

Autores

Fernando Arturo Peña-Ramirez, Renata Rojas Guerra, Gauss Moutinho Cordeiro