A study of stress-strength reliability using a generalization of power transformed half-logistic distribution

被引：15
|
作者：
Xavier, Thomas [1 ]
Jose, Joby K. [1 ]
机构：
[1] Kannur Univ, Dept Stat Sci, Kannur 670567, Kerala, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 18期
关键词：
Half-logistic distribution; generalized hypergeometric function; stress-strength reliability; maximum likelihood estimation; Y LESS-THAN; MODEL;
D O I：
10.1080/03610926.2020.1716250
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：
A new probability model obtained by generalizing the power transformed half logistic distribution is introduced by transforming the type II beta distribution. The basic properties of the distribution are studied and observed that the distribution can be used for modeling heavy tailed data. Further the expression for stress strength reliability of a single component system with strength following the proposed model and different cases for stress are obtained. Different methods of estimation of parameters - method of moments, quantile estimation, and maximum likelihood estimation are also explained. The usefulness of the model is also studied by applying it to a real-life data set.
引用
收藏
页码：4335 / 4351
页数：17
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