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Title: A new compounding family of distributions: the generalized gamma power series distributions
Authors: Silva, Rodrigo B.
Bourguignon, Marcelo
Cordeiro, Gauss M.
Keywords: Generalized gamma distribution;Generating function;Maximum likelihood estimator;Moment;Power series distribution
Issue Date: Jan-2016
Publisher: Journal of Computational and Applied Mathematics
Citation: SILVA, 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. 2016
Portuguese Abstract: We 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.
ISSN: 0377-0427
Appears in Collections:CCET - DEST - Artigos publicados em periódicos

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