The McDonald extended distribution: properties and applications

Gauss Cordeiro (), Elizabeth Hashimoto (), Edwin Ortega () and Marcelino Pascoa ()

AStA Advances in Statistical Analysis, 2012, vol. 96, issue 3, 409-433

Abstract: 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. Copyright Springer-Verlag 2012

Keywords: Extended exponential distribution; Generalized exponential distribution; Kumaraswamy distribution; Maximum likelihood estimation; McDonald distribution; McDonald extended exponential model; Mean deviation; Moment generating function; Quantile function (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10182-011-0180-3

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