Accession Number : AD0770979

Title :   Estimation of Reliability in a Multicomponent Stress-Strength Model.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s) : Bhattacharyya,G. K. ; Johnson,Richard A.

Report Date : FEB 1973

Pagination or Media Count : 27

Abstract : A stress-strength model is formulated for s out of k systems consisting of identical components. The authors consider minimum variance unbiased estimation of system reliability for data consisting of a random sample from the stress distribution and one from the strength distribution when the two distributions are related as Lehmann alternatives. The asymptotic distribution is obtained by expanding the unbiased estimate about the maximum likelihood value and establishing their equivalence. Performance of the two estimates for moderate samples is studied by Monte Carlo simulation. Uniformly most accurate unbiased confidence intervals are also obtained for system reliability. (Author)

Descriptors :   *Reliability, *Statistical analysis, *Estimates, Statistical distributions, Sampling, Stresses, Theorems, Mathematical prediction

Subject Categories : Statistics and Probability
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE