Estimation of reliability from Marshall-Olkin extended Lomax distributions

被引:35
|
作者
Gupta, Ramesh C. [1 ]
Ghitany, M. E. [2 ]
Al-Mutairi, D. K. [2 ]
机构
[1] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA
[2] Kuwait Univ, Fac Sci, Dept Stat & Operat Res, Safat 13060, Kuwait
关键词
proportional odds model; asymptotic confidence intervals; strength-stress model; simulation studies; MAXIMUM-LIKELIHOOD-ESTIMATION; STATISTICAL-INFERENCE;
D O I
10.1080/00949650902845672
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we are mainly interested in estimating the reliability R=P(XY) in the Marshall-Olkin extended Lomax distribution, recently proposed by Ghitany et al. [Marshall-Olkin extended Lomax distribution and its application, Commun. Statist. Theory Methods 36 (2007), pp. 1855-1866]. The model arises as a proportional odds model where the covariate effect is replaced by an additional parameter. Maximum likelihood estimators of the parameters are developed and an asymptotic confidence interval for R is obtained. Extensive simulation studies are carried out to investigate the performance of these intervals. Using real data we illustrate the procedure.
引用
收藏
页码:937 / 947
页数:11
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