Our interest is in estimating the stress-strength reliability Pr(X > Y )
based on lower record values when X and Y are two independent but
not identically distributed Burr type X random variables. The maximum likelihood estimator, Bayes and empirical Bayes estimators using
Lindleys approximations, are obtained and their properties are studied. The exact confidence interval, as well as the Bayesian credible sets
are obtained. Two examples are presented in order to illustrate the
inferences discussed in the previous sections. A Monte Carlo simulation study is conducted to investigate and compare the performance of
different types of estimators presented in this paper and to compare
them with some bootstrap intervals.
Likelihood estimation Bayesian estimation Burr type X distribution Record values Stress-strength reliability Lindley approximation
Birincil Dil | İngilizce |
---|---|
Konular | İstatistik |
Bölüm | İstatistik |
Yazarlar | |
Yayımlanma Tarihi | 1 Şubat 2016 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 45 Sayı: 1 |