The McDonald Weibull model

Autor(es)

Cordeiro, Gauss M. ^[1] ; Hashimoto, Elizabeth M. ^[2] ; Ortega, Edwin M. M. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Pernambuco, Dept Estat, BR-52171900 Recife, PE - Brazil

^[2] Univ Sao Paulo, Dept Ciencias Exatas, BR-13418900 Piracicaba, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: STATISTICS; v. 48, n. 2, p. 256-278, MAR 4 2014.
• Citações Web of Science: 35

Resumo

For the first time, we propose a five-parameter lifetime model called the McDonald Weibull distribution to extend the Weibull, exponentiated Weibull, beta Weibull and Kumaraswamy Weibull distributions, among several other models. We obtain explicit expressions for the ordinary moments, quantile and generating functions, mean deviations and moments of the order statistics. We use the method of maximum likelihood to fit the new distribution and determine the observed information matrix. We define the log-McDonald Weibull regression model for censored data. The potentiality of the new model is illustrated by means of two real data sets. (AU)

• Processo FAPESP: 10/04496-2 - Modelo de regressão gama-G em análise de sobrevivência
• Beneficiário: Elizabeth Mie Hashimoto
• Modalidade de apoio: Bolsas no Brasil - Doutorado