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. |
主题分类 |
基礎與應用科學 >
資訊科學 基礎與應用科學 > 統計 |