Introduction to Reliability for Conditional Stress-Strength Parameter

Abstract

In this article, a new proper and favorite stress-strength parameter has been introduced. The maximum likelihood and uniformly minimum variance unbiased estimators of the purposed parameter have been derived for the Exponential distribution. Moreover, the nonparametric estimator of this parameter has also been obtained as well as some important properties of this estimator. A simulation study and the analysis of a real data set have been done for illustrative purposes.

Keywords

• stress-strength parameter
• multivariate delta method
• umvue
• consistent estimator