The McDonald extended distribution: properties and applications

Autor(es)

Cordeiro, Gauss M. ^[1] ; Hashimoto, Elizabeth M. ^[2] ; Ortega, Edwin M. M. ^[2] ; Pascoa, Marcelino A. R. ^[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: AStA-Advances in Statistical Analysis; v. 96, n. 3, p. 409-433, JUL 2012.
• Citações Web of Science: 5

Resumo

We study a five-parameter lifetime distribution called the McDonald extended exponential model to generalize the exponential, generalized exponential, Kumaraswamy exponential and beta exponential distributions, among others. We obtain explicit expressions for the moments and incomplete moments, quantile and generating functions, mean deviations, Bonferroni and Lorenz curves and Gini concentration index. The method of maximum likelihood and a Bayesian procedure are adopted for estimating the model parameters. The applicability of the new model is illustrated by means of a real data set. (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