Open Access Open Access  Restricted Access Subscription or Fee Access

Confidence intervals for quantiles in a minimal repair set-up

E. Beutner, E. Cramer

Abstract


We further examine the situation that repair times of two identically structured minimal repair systems are observed. Based on the distribution theory for the pooled sample, we construct exact nonparametric confidence intervals for quantiles of the underlying baseline distribution. We present an algorithm to compute the shortest confidence interval in terms of the difference between the upper and the lower index for a given quantile and given confidence level. Moreover, we compare our exact nonparametric confidence intervals with those derived from both the asymptotic distribution of the quantile function and a parametric approach.

Keywords


Minimal repair, Nonparametric confidence intervals, Nonhomogeneous Poisson process, Martingale methods, Product limit estimator, Records.

Full Text:

PDF


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.