An extension of the generalized linear failure rate distribution

被引：3

作者：

Kazemi, M. R. ^{[1
]}

Jafari, A. A. ^{[2
]}

Tahmasebi, S. ^{[3
]}

机构：

[1] Fasa Univ, Dept Stat, Fasa, Iran

[2] Yazd Univ, Dept Stat, Yazd, Iran

[3] Persian Gulf Univ, Dept Stat, Bushehr, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 16期

关键词：

Generalized exponential distribution; Hazard function; Maximum likelihood estimation; WEIBULL DISTRIBUTION;

D O I：

10.1080/03610926.2016.1167905

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article, we introduce a new extension of the generalized linear failure rate (GLFR) distributions. It includes some well-known lifetime distributions such as extension of generalized exponential and GLFR distributions as special sub-models. In addition, it can have a constant, decreasing, increasing, upside-down bathtub (unimodal), and bathtub-shaped hazard rate function (hrf) depending on its parameters. We provide some of its statistical properties such as moments, quantiles, skewness, kurtosis, hrf, and reversible hrf. The maximum likelihood estimation of the parameters is also discussed. At the end, a real dataset is given to illustrate the usefulness of this new distribution in analyzing lifetime data.

引用

页码：7916 / 7933

页数：18