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Confidence Intervals for Reliability of Stress-Strength Models in the Normal Case
Authors:Alessandro Barbiero
Institution:1. Department of Economics, Business and Statistics , Università degli Studi di Milano , Milano , Italy alessandro.barbiero@unimi.it
Abstract: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.
Keywords:Asymptotically normal  Independent normal  Monte Carlo simulations  Parametric bootstrap  Stress-strength  Variance estimation
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