THE MEAN REMAINING STRENGTH OF PARALLEL SYSTEMS IN A STRESS-STRENGTH MODEL BASED ON EXPONENTIALDISTRIBUTION

Abstract

The mean remaining strength of any coherent system is one ofthe important characteristics in stress-strength reliability. It shows that thesystem on the average how long can be safe under the stress. In this paper,we consider the mean remaining strength of the parallel systems in the stressstrength model. We assume that the strength and stress components constituteparallel systems separately. The mean remaining strength and its estimationsare obtained when the all components follow the exponential distribution. Thelikelihood ratio order between the remaining strength of the parallel systemsis presented for two-component case. The simulation study is performed tocompare the derived estimates and their results are presented.