An extended-G geometric family

Gauss M. Cordeiro (), Giovana O. Silva () and Edwin M. M. Ortega ()
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Gauss M. Cordeiro: Universidade Federal de Pernambuco, Cidade Universitária
Giovana O. Silva: Universidade Federal da Bahia, Av. Adhemar de Barros, s/n°
Edwin M. M. Ortega: Universidade de São Paulo, Av. Pádua Dias 11

Journal of Statistical Distributions and Applications, 2016, vol. 3, issue 1, 1-16

Abstract: Abstract We introduce and study the extended-G geometric family of distributions, which contains as special models some important distributions such as the XTG (Xie et al. 2002) geometric, Weibull geometric, Chen (Chen 2000) geometric, Gompertz geometric, among others. This family not only includes distributions with bathtub and unimodal failure rate functions but provides a broader class of monotone failure rates. Its density function can be expressed as a linear mixture of extended-G densities. We derive explicit expansions for the ordinary and incomplete moments, generating function, mean deviations and Rénvy entropy. The density of the order statistics can also be given as a linear mixture of extended-G densities. The model parameters are estimated by maximum likelihood. The potentiality of the new family is illustrated by means of an application to real data. MSC 60E05, 62P10, 62P30

Keywords: Expected information; Extended-G distribution; Geometric distribution; Lifetime distribution; Maximum likelihood estimation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1186/s40488-016-0041-4

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