Abstract
Consider $k$ stochastically ordered distributions with $F_{(1)} \leqq\cdots\leqq F_{(k)}$. The present paper deals with distribution-free tolerance intervals for $F_{(j)}$ based on order statistics in samples of same size from each of the $k$ distributions. Two criteria are defined for determining such intervals. These two criteria are extensions of $\beta$-expectation tolerance intervals and $\beta$-content tolerance intervals with confidence coefficient $\gamma$ used in the single population literature. A tolerance interval for the lifetime distribution of a series system is considered as an example.
Citation
K. M. Lal Saxena. "Distribution-Free Tolerance Intervals for Stochastically Ordered Distributions." Ann. Statist. 4 (6) 1210 - 1218, November, 1976. https://doi.org/10.1214/aos/1176343652
Information