Estimation a Stress-Strength Model for P (Yr:n1 < Xk:n2 ) Using the Lindley Distribution

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2017-01-16 DOI:10.15446/RCE.V40N1.54349

M. Khalil

引用次数: 5

Abstract

The problem of estimation reliability in a multicomponent stress-strength model, when the system consists of k components have strength each compo- nent experiencing a random stress, is considered in this paper. The reliability of such a system is obtained when strength and stress variables are given by Lindley distribution. The system is regarded as alive only if at least r out of k (r < k) strength exceeds the stress. The multicomponent reliability of the system is given by Rr,k . The maximum likelihood estimator (M LE), uniformly minimum variance unbiased estimator (UMVUE) and Bayes esti- mator of Rr,k are obtained. A simulation study is performed to compare the different estimators of Rr,k . Real data is used as a practical application of the proposed model.

查看原文本刊更多论文

用Lindley分布估计P (Yr:n1 < Xk:n2)的应力-强度模型

本文研究了由k个构件组成的多构件应力-强度模型的可靠性估计问题。当强度和应力变量采用林德利分布时，得到了系统的可靠度。只有当k中的至少r (r < k)强度超过应力时，体系才被认为是活的。系统的多部件可靠性由Rr,k给出。得到了最大似然估计量(mle)、一致最小方差无偏估计量(UMVUE)和Rr、k的贝叶斯估计量。进行了模拟研究，比较了Rr,k的不同估计。实际数据作为该模型的实际应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.