Title :
Confidence bounds for Pr{X>Y} in 1-way ANOVA random model
Author_Institution :
Towson State Univ., MD, USA
fDate :
12/1/1991 12:00:00 AM
Abstract :
Approximate confidence bounds for reliability, R=Pr{X >Y|X,Y}, are obtained, where X and Y are independent normal (Gaussian) random variables, and X and Y are vectors of measurements for X and Y, respectively. Balanced 1-way ANOVA (analysis of variants) random effect models are assumed for the populations of X and Y. Confidence bounds are derived for R under three cases for standard deviations, σx and σy. An example shows how the results are used
Keywords :
probability; reliability theory; statistical analysis; 1-way random effect models; ANOVA random model; analysis of variants; independent normal random variables; reliability; Analysis of variance; Art; Battery charge measurement; Failure analysis; Gaussian distribution; Quality control; Random variables; Reliability engineering; Statistical distributions; Time measurement;
Journal_Title :
Reliability, IEEE Transactions on