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

Ayman Baklizi


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.


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

Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.