The McDonald extended distribution: properties and applications


Autoria(s): Cordeiro, Gauss M.; Hashimoto, Elizabeth M.; Ortega, Edwin M. M.; Pascoa, Marcelino A. R.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

05/11/2013

05/11/2013

2012

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.

FAPESP

FAPESP [2010/04496-2]

CNPq, Brazil

CNPq (Brazil)

Identificador

ASTA-ADVANCES IN STATISTICAL ANALYSIS, NEW YORK, v. 96, n. 3, supl. 1, Part 2, pp. 409-433, JUL, 2012

1863-8171

http://www.producao.usp.br/handle/BDPI/41348

10.1007/s10182-011-0180-3

http://dx.doi.org/10.1007/s10182-011-0180-3

Idioma(s)

eng

Publicador

SPRINGER

NEW YORK

Relação

ASTA-ADVANCES IN STATISTICAL ANALYSIS

Direitos

restrictedAccess

Copyright SPRINGER

Palavras-Chave #EXTENDED EXPONENTIAL DISTRIBUTION #GENERALIZED EXPONENTIAL DISTRIBUTION #KUMARASWAMY DISTRIBUTION #MAXIMUM LIKELIHOOD ESTIMATION #MCDONALD DISTRIBUTION #MCDONALD EXTENDED EXPONENTIAL MODEL #MEAN DEVIATION #MOMENT GENERATING FUNCTION #QUANTILE FUNCTION #WEIBULL-DISTRIBUTION #FAMILY #STATISTICS & PROBABILITY
Tipo

article

original article

publishedVersion