%0 Journal Article
%T INFERENTIAL ANALYSIS OF THE RE-MODELED STRESS-STRENGTH SYSTEM RELIABILITYWITH APPLICATION TO THE REAL DATA
%A Bhupendra Singh
%A Shubhi Rathi
%A Gajraj Singh
%J Journal of Reliability and Statistical Studies
%D 2011
%I Ankur Printing Palace
%X The present study deals with the classical and Bayesian analysis of re-modeledstress-strength system reliability by considering Weibull distribution as the distribution of boththe stress and strength variables. The proposed re-modeled stress-strength system reliability isdefined as the probability that the system is capable to withstand the maximum operated stress atits minimum strength i.e., P[U>V], where U=Min(X1, X2¡­Xm) and V=Max(Y1,Y2,¡­¡­Yn). Theobservations X1, X2¡­Xm and Y1,Y2,¡­¡­Yn are the measurements on the strength and stressvariables at different time epochs. The goodness-of-fit of the two real data sets for the proposedmodel is also demonstrated.
%K Stress-Strength model
%K maximum likelihood estimate
%K Bayes estimate
%K empirical distribution function
%K Gibbs sampler
%K Metropolis-Hastings algorithm
%K highest posterior density credible interval.
%U http://jrss.in/data/61.pdf