A Numerical Approximation of the Approximation of Stress Strength Reliability System in a View of Rayleigh and Half Normal Distribution

Abstract

The significance topic recently stands the “stress-strength reliability” "SSR" expression that denotes to the measure probability P (X >Y) in the research papers. It reorganises a model by chance strength (X) in terms of a chance strength (Y), i.e.; a model fails in scenario the strength tends below the stress. This research aims to examine the "SSR" as the strength (X) obeys Rayleigh-half-normal distribution "RHND" whereas stress (Y1, Y2, Y3, and Y4) follows "RHND", exponential distribution, Rayleigh distribution, and half-normal distribution, correspondingly. This will contain defining the general designs of the reliabilities of a system. In addition, the maximum likelihood approximation method and method of moment (MOM) will be used to choose appropriate parameters values. Lastly, reliability has been achieved applying numerous values of stress and strength parameters