Stress-strength reliability;
Gompertz distribution;
Minimum variance unbiased estimation;
Maximum likelihood estimation;
Bayes estimation;
Mean square error;
X DISTRIBUTION;
BURR;
P(Y-LESS-THAN-X);
MODEL;
D O I:
暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, the Bayesian and non Bayesian estimation problem of reliability, R = P(Y < X), will be considered when X and Y are two independent but not identically random variables belonging to the Gompertz distribution. The three estimation methods applied were the maximum likelihood, uniformly minimum variance unbiased, and Bayes estimators. A numerical illustration is used to compare the three different estimators.