The Gamma Generalized Pareto Distribution with Applications in Survival Analysis

Thiago A. N. de Andrade, Luz Milena Zea Fernandez, Frank Gomes-Silva, Gauss M. Cordeiro

Abstract


We study a three-parameter model named the gamma generalized Pareto distribution. This distribution extends the generalized Pareto model, which has many applications in areas such as insurance, reliability, finance and many others. We derive some of its characterizations and mathematical properties including explicit expressions for the density and quantile functions, ordinary and incomplete moments, mean deviations, Bonferroni and Lorenz curves, generating function, R\'enyi entropy and order statistics. We discuss the estimation of the model parameters by maximum likelihood. A small Monte Carlo simulation study and two applications to real data are presented. We hope that this distribution may be useful for modeling survival and reliability data.

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DOI: https://doi.org/10.5539/ijsp.v6n3p141

License URL: http://creativecommons.org/licenses/by/4.0

International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

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