The Transmuted Generalized Gamma Distribution: Properties and Application

Journal of Data Science

article

Sadraque E.F. Lucena¹  Herm´ınia A. Silva²  Gauss M. Cordeiro² 

[1] Universidade Federal de Pernambuco;Departamento de Estat´ıstica, Cidade Universitaria

关键词: maximum likelihood;    mean deviation;    moment generating function;   

DOI  :  10.6339/JDS.201501_13(1).0010

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

The generalized gamma model has been used in several applied areas such as engineering, economics and survival analysis. We provide an extension of this model called the transmuted generalized gamma distribution, which includes as special cases some lifetime distributions. The proposed density function can be represented as a mixture of generalized gamma densities. Some mathematical properties of the new model such as the moments, generating function, mean deviations and Bonferroni and Lorenz curves are provided. We estimate the model parameters using maximum likelihood. We prove that the proposed distribution can be a competitive model in lifetime applications by means of a real data set.

【 授权许可】

CC BY