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Title: | The extended generalized gamma geometric distribution |
Keywords: | Generalized gamma distribution Weibull geometric distribution Lifetime distribution Maximum likelihood estimation Bimodality Distribuição gama generalizada Distribuição geométrica Weibull Distribuição vitalícia Estimativa de máxima verossimilhança Bimodalidade |
Issue Date: | Jul-2017 |
Publisher: | Canadian Center of Science and Education |
Citation: | BORTOLINI, J. et al. The extended generalized gamma geometric distribution. International Journal of Statistics and Probability, [S. l.], v. 6, n. 4, p. 48-69, July 2017. |
Abstract: | We propose and study the so-called extended generalized gamma geometric distribution. The proposed distribution has five parameters and it can be accommodate increasing, decreasing, bathtub and unimodal shaped hazard functions. The new distribution has a large number of well-known lifetime special sub-models such as the generalized gamma geometric, Weibull geometric, gamma geometric, exponential geometric, Rayleigh geometric, half-normal geometric among others. We provide a mathematical treatment of the new distribution including explicit expressions for moments, moment generating function, mean deviations, reliability and order statistics. The method of maximum likelihood and a Bayesian procedure are adopted for estimating the model parameters. Finally, an application of the new distribution is illustrated in a real data sets. |
URI: | http://repositorio.ufla.br/jspui/handle/1/36629 |
Appears in Collections: | DES - Artigos publicados em periódicos |
Files in This Item:
File | Description | Size | Format | |
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ARTIGO_The extended generalized gamma geometric distribution.pdf | 768,42 kB | Adobe PDF | View/Open |
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