Stress-Strength Reliability Quantification using M-Transformed Exponential Distributions

Abstract

The term “Stress-Strength reliability” means , where a system or an equipment with random strength X is subjected to random stress Y in a way that system breaks down, if the stress surpasses the strength. In this paper, a system is considered with standby redundancy, and it is presumed that the distinct components in the system for both stress and strength variables are independent and have different probability distributions viz. M- Transformed Exponential, Exponential, Gamma and Lindley. The expressions for the marginal reliabilities etc. based on its stress-strength models are obtained.