Inference on Stress-Strength Reliability for Lomax Exponential Distribution

In this paper, the reliability estimation of single component stress-strength model is studied with strength(X) and stress(Y) of the component follow Lomax exponential distribution. The maximum likelihood and Bayesian estimation methods are applied to derive estimators of reliability. The Bayesian estimators for reliability are constructed under different loss functions such as squared error and linex loss functions with non-informative and gamma priors using Lindley's approximation technique. The simulation experiment is conducted to estimate the mean squared error of the estimators which enable the comparison of different estimators. The construction of asymptotic confidence interval of reliability is also constructed. The real data analysis is done to illustrate the developed procedures.