Fiducial quantities are proposed to construct approximate tolerance limits and intervals for functions of some discrete random variables. Using established fiducial quantities for binomial proportions, Poisson rates, and negative binomial proportions, an approach is demonstrated to handle...

Consider k≥1 independent samples, each with a certain number of record values. The resulting pooled sample of records can be re-ordered to develop exact nonparametric inferential procedures. The distribution theory of such ordered multi-sample record values is developed in this paper. The...