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dc.contributor.authorSilva, Rodrigo B.-
dc.contributor.authorBourguignon, Marcelo-
dc.contributor.authorCordeiro, Gauss M.-
dc.identifier.citationSILVA, Rodrigo B.; BOURGUIGNON, Marcelo; CORDEIRO, Gauss M. . A new compounding family of distributions: The generalized gamma power series distributions. Journal of Computational and Applied Mathematics , v. 303, p. 119-139, 2016. Disponível em: Acesso em: 07 dez. 2016pt_BR
dc.publisherJournal of Computational and Applied Mathematicspt_BR
dc.rightsAcesso Abertopt_BR
dc.subjectGeneralized gamma distributionpt_BR
dc.subjectGenerating functionpt_BR
dc.subjectMaximum likelihood estimatorpt_BR
dc.subjectPower series distributionpt_BR
dc.titleA new compounding family of distributions: the generalized gamma power series distributionspt_BR
dc.description.resumoWe propose a new four-parameter family of distributions by compounding the generalized gamma and power series distributions. The compounding procedure is based on the work by Marshall and Olkin (1997) and defines 76 sub-models. Further, it includes as special models the Weibull power series and exponential power series distributions. Some mathematical properties of the new family are studied including moments and generating function. Three special models are investigated in detail. Maximum likelihood estimation of the unknown parameters for complete sample is discussed. Two applications of the new models to real data are performed for illustrative purposes.pt_BR
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