Reliability of a Stress-Strength Model with Burr Type III Distributions

Abstract

Abstract In this article, the reliability of a system is discussed when both the strength of the system and the stress imposed on it are independent, non identical Burr Type III distributed random variables. Different methods for estimating the reliability are applied. The point estimators obtained are maximum likelihood, uniformly minimum variance unbiased, and Bayesian estimators based on conjugate and non informative prior distributions. A comparison of the estimates obtained is performed. Interval estimators of the reliability are also discussed.