Bivariate pareto;
Maximum likelihood estimate;
Reliability;
Stress-strength model;
D O I:
10.1007/BF02926000
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 paper, we discuss the problem of estimating reliability (R) of a component based on maximum likelihood estimators (MLEs). The reliability of a component is given by R = P[Y < X]. Here X is a random strength of a component subjected to a random stress(Y) and (X,Y) follow a bivariate pareto(BVP) distribution. We obtain an asymptotic normal(AN) distribution of MLE of the reliability(R).
机构:
Department of Mathematical Engineering, Istanbul Technical University, IstanbulDepartment of Mathematical Engineering, Istanbul Technical University, Istanbul
Nadar M.
Erçelik E.
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机构:
Department of Mathematical Engineering, Istanbul Technical University, IstanbulDepartment of Mathematical Engineering, Istanbul Technical University, Istanbul