Estimation of dynamic reliability for dependent stress and strength based on ranked set sampling

Document Type : Original Paper


1 Department of Statistics, Hakim Sabzevari University

2 Department of Statistics, University of Isfahan, Isfahan, Iran


In this article, estimation of a dynamic reliability measure based on ranked set sampling is studied when stress and strength variables are dependent. The proposed estimator is compared with the analogous estimator in simple random sampling theoretically and numerically. The results show that estimation using ranked set sampling design is often more precise. Also, the difference in precision of the two estimators is more pronounced as the correlation coefficient between stress and strength variables goes higher.


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