文章基本信息

标题：McDonald Generalized Linear Failure Rate Distribution
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作者：Ibrahim Elbatal ; Faton Merovci ; W. Marzouk 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2014
卷号：10
期号：3
页码：267-288
DOI：10.1234/pjsor.v10i3.687
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：We introduce in this paper a new six-parameters generalized version of the generalized linear failure rate (GLFR) distribution which is called McDonald Generalized Linear failure rate (McGLFR) distribution. The new distribution is quite flexible and can be used effectively in modeling survival data and reliability problems. It can have a constant, decreasing, increasing, and upside down bathtub-and bathtub shaped failure rate function depending on its parameters. It includes some well-known lifetime distributions as special sub-models. Some structural properties of the new distribution are studied. Moreover we discuss maximum likelihood estimation of the unknown parameters of the new model.
关键词：Generalized Linear Failure Rate, Moment generating function, Moments, Maximum likelihood estimation.