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.
Publié le : 1976-11-14
Classification:
Distribution-free,
tolerance intervals,
stochastically ordered family,
order statistics,
beta distributions,
reliability and life testing,
62G15,
62G30,
62N05
@article{1176343652,
author = {Saxena, K. M. Lal},
title = {Distribution-Free Tolerance Intervals for Stochastically Ordered Distributions},
journal = {Ann. Statist.},
volume = {4},
number = {1},
year = {1976},
pages = { 1210-1218},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343652}
}
Saxena, K. M. Lal. Distribution-Free Tolerance Intervals for Stochastically Ordered Distributions. Ann. Statist., Tome 4 (1976) no. 1, pp. 1210-1218. http://gdmltest.u-ga.fr/item/1176343652/