题名

The Marshall-Olkin extended generalized Gompertz distribution

DOI

10.6339/JDS.201704_15(2).0004

作者

Lazhar Benkhelifa

关键词

Marshall-Olkin distribution ; generalized Gompertz distribution ; moments ; maximum likelihood estimation ; observed information matrix

期刊名称

Journal of Data Science

卷期/出版年月

15卷2期(2017 / 04 / 01)

页次

239 - 266

内容语文

英文

中文摘要

A new four-parameter model called the Marshall-Olkin extended generalized Gompertz distribution is introduced. Its hazard rate function can be constant, increasing, decreasing, upside-down bathtub or bathtub-shaped depending on its parameters. Some mathematical properties of this model such as expansion for the density function, moments, moment generating function, quantile function, mean deviations, mean residual life, order statistics and Rényi entropy are derived. The maximum likelihood technique is used to estimate the unknown model parameters and the observed information matrix is determined. The applicability of the proposed model is shown by means of a real data set.

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