Interval Estimation of the Stress-Strength Reliability with Paired Data Based on Empirical Likelihood

Ayman Baklizi

Abstract


We consider the problem of setting confidence intervals for the stress-strength probability using empirical likelihood techniques with paired samples. Some modifications to the usual empirical likelihood technique like bootstrapping and smoothing are considered. The intervals are studied by simulation in terms of their coverage probabilities. Comparisons with other known intervals are also undertaken. Our simulation studies of the properties of the intervals indicate that some modifications are capable of improving the performance of the empirical likelihood based intervals. Moreover they appear to compete well with other known intervals in the literature.

Keywords


Paired data, Stress-strength reliability, Empirical likelihood, Bootstrap



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