A New Family of Quadratic Hazard Rate-Geometric Distributions With Reliability Applications

被引:4
|
作者
Okasha, Hassan M. [1 ]
Kayid, M. [2 ]
Abouammoh, M. A. [2 ]
Elbatal, I. [2 ]
机构
[1] King Abdulaziz Univ, Dept Stat, Collage Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] King Saud Univ, Dept Stat & Operat Res, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia
关键词
geometric distribution; bathtub failure rate; mean residual life; mean inactivity time; stochastic ordering; order statistics; maximum likelihood estimation; reliability applications; ORDERINGS;
D O I
10.1520/JTE20150116
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
This paper introduced the generalized quadratic hazard rate distribution. This new distribution generalizes several well-known distributions such as generalized exponential, generalized Rayleigh, and generalized linear hazard rate. Some statistical and reliability properties of the new distribution were discussed. The maximum likelihood estimates of its unknown parameters were obtained by simulation. The proposed model and other derived results were utilized for fitting real data set and it was shown that the new distribution provided a better fit than some other known distributions.
引用
收藏
页码:1937 / 1948
页数:12
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