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Title: Distribuição gama generalizada geométrica estendida
Other Titles: The extended generalized gamma geometric distribution
Authors: Lima, Renato Ribeiro de
Pascoa, Marcelino Alves Rosa de
Oliveira, Anderson Castro Soares de
Gouvêa, Graziela Dutra Rocha
Chaves, Lucas Monteiro
Vivanco, Mário Javier Ferrua
Keywords: Análise de sobrevivência
Regressão locação-escala
Estimação de máxima verossimilhança
Inferência Bayesiana
Survival analysis
Location-scale regression model
Maximum likelihood estimation
Bayesian inference
Issue Date: 17-Dec-2015
Publisher: Universidade Federal de Lavras
Citation: BORTOLINI, J. Distribuição gama generalizada geométrica estendida. 2015. 133 p. Tese (Doutorado em Estatística e Experimentação Agropecuária)-Universidade Federal de Lavras, Lavras, 2015.
Abstract: New probability distributions are proposed in order to get better fit to the complex data such as censored, skewed and bimodal. In this perspective, this work proposed new more flexible models for survival analysis. The first model proposed is the extended generalized gamma geometric distribution of five parameters, which includes well-known lifetime special sub-models such as the generalized gamma. We provided a mathematical treatment of the new distribution including explicit expressions for moments, moment generating function, mean deviations, reliability and order statistics. Further, we developed an extension of this distribution by assuming that a shape parameter can take negative values. Additionally, we derived the log-transformed distribution and its regression model. The new regression model represents a parametric family of models that includes as sub-models some widely known regression models that can be applied to censored survival data. Finally, an application of the new models to real data showed that they could provide a better fit than other statistical models frequently used in lifetime data analysis.
Appears in Collections:Estatística e Experimentação Agropecuária - Doutorado (Teses)

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