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On estimation of R=P(Y<X) for exponential distribution under progressive type-II censoring
Scopus
Toplam 117 atıf DOI
This paper deals with the estimation of the stress-strength parameter R=P(Y<X), when X and Y are independent exponential random variables, and the data obtained from both distributions are progressively type-II censored. The uniformly minimum variance unbiased estimator and the maximum-likelihood estimator (MLE) are obtained for the stress-strength parameter. Based on the exact distribution of the MLE of R, an exact confidence interval of R has been obtained. Bayes estimate of R and the associated credible interval are also obtained under the assumption of independent inverse gamma priors. An extensive computer simulation is used to compare the performances of the proposed estimators. One data analysis has been performed for illustrative purpose. © 2012 Taylor and Francis Group, LLC.
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Estimation of P(Y < X) for distributions having power hazard function
Scopus
Havuzumuzda 16 atıf almış
In this paper, the stress-strength reliability is obtained when the underlying distribution has power hazard function. Maximum likelihood and uniformly minimum variance unbiased estimate of the stress-strength reliability are derived and various distributional properties of these estimates are discussed. Exact and asymptotic confidence intervals for the stress-strength reliability are constructed. Simulation study is also performed to investigate the coverage probabilities of these intervals. © 2014 Pakistan Journal of Statistics.
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Kurumlar (1)
Selçuk Üniversitesi
Selçuklu, Turkey