A new compounding family of distributions: the generalized gamma power series distributions

dc.creatorSilva, Rodrigo B.
dc.creatorBourguignon, Marcelo
dc.creatorCordeiro, Gauss M.
dc.date2022-11-08T18:05:08Z
dc.date2022-11-08T18:05:08Z
dc.date2016-01
dc.date.accessioned2023-09-04T14:08:38Z
dc.date.available2023-09-04T14:08:38Z
dc.identifierSILVA, 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:http://www.sciencedirect.com/science/article/pii/S0377042716300802?via%3Dihub. Acesso em: 07 dez. 2016
dc.identifier0377-0427
dc.identifierhttps://repositorio.ufrn.br/handle/123456789/49677
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8603964
dc.descriptionWe 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.
dc.formatapplication/pdf
dc.languageen
dc.publisherJournal of Computational and Applied Mathematics
dc.rightsAcesso Aberto
dc.subjectGeneralized gamma distribution
dc.subjectGenerating function
dc.subjectMaximum likelihood estimator
dc.subjectMoment
dc.subjectPower series distribution
dc.titleA new compounding family of distributions: the generalized gamma power series distributions
dc.typearticle


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