Estimation of Stress Strength Reliability in Single Component Models for Different Distributions

Abstract

This paper aims to estimate the stress-strength reliability parameter R = P(Y < X), considering the two different cases of stress strength parameters, when the strength ‘X’ follows exponentiated inverse power Lindley distribution ,extended inverse Lindley and Stress ‘Y’ follows inverse power Lindley distribution and inverse Lindley distribution. The method of maximum likelihood estimation is used to obtain the reliability estimators. Illustrations are provided using R programming.

Reliability analysis for stress–strength model from inverted exponentiated Rayleigh based on the hybrid censored sample

“…Chen and Cheng (2017) considered the stress-strength reliability model for the exponentiated Pareto distributions. Bashir et al (2019) investigated the estimation of stress-strength reliability in single component models for different distributions. Furthermore in reliability analysis, the testing experiments are quite costly and time-consuming.…”