Title :
Distribution-Free Confidence Bound for Pr{Y < X} of an r-out-of-k System
Author :
Yang, Mark C K ; Mo, Tse Chin
Author_Institution :
Department of Statistics; University of Florida; Gainesville, Florida 32611 USA.
Abstract :
Let X and Y be two k-dimensional statistically independent random variables. Distribution-free bounds for PR{Y < X, for an r-out-of-k:G system} are obtained based on statistically independent component samples of X and Y. Also, for cases with statistically dependent component samples, we delineate the nature and implications of various s-dependence assumptions.
Keywords :
Communication networks; Probability; Random variables; Reliability theory; Sensor systems; Statistical distributions; Statistics; Stress; Upper bound; Voting; Multivariate Kolmogorov-Smirnov statistic; Survival probability; U-statistic; s-Confidence bound;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1985.5222244
