Journal
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Volume 40, Issue 6, Pages 907-925Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610918.2011.560728
Keywords
Asymptotically normal; Independent normal; Monte Carlo simulations; Parametric bootstrap; Stress-strength; Variance estimation
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In this article, we propose some procedures to get confidence intervals for the reliability in stress-strength models. The confidence intervals are obtained either through a parametric bootstrap procedure or using asymptotic results, and are applied to the particular context of two independent normal random variables. The performance of these estimators and other known approximate estimators are empirically checked through a simulation study which considers several scenarios.
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