Kurumun Atıf Alan Makalesi
Atıf Alan Yayın
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.
Atıf Kaynağı
Atıf Yapan Yayın
Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples
Scopus
Havuzumuzda 17 atıf almış
Suppose that X represents the stress which is applied to a component and Y is strength of this component. Let X and Y have Exponential Power (EP) distribution with (α1, β1) and (α2, β2) parameters, respectively. In this case, stress-strength reliability (SSR) is shown by P = P (X < Y). In this study, the SSR for EP distribution are obtained with numerical methods. Also maximum likelihood estimate (MLE) and approximate bayes estimates by using Lindley approximation method under squared-error loss function for SSR under progressive type-II censoring are obtained. Moreover, performances of these estimators are compared in terms of MSEs by using Monte Carlo simulation. Furthermore coverage probabilities of parametric bootstrap estimates are computed. Finally, real data analysis is presented.
Atıf Yapan Makale Bilgileri
Kurumlar (1)
Selçuk Üniversitesi
Selçuklu, Turkey