University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 32 4 2021 12 01 Introduction to Reliability for Conditional Stress-Strength Parameter 349 357 85046 10.22059/jsciences.2021.313311.1007591 EN Mohammad Mehdi Saber Department of Statistics, Higher Education Center of Eghlid, Eghlid, Islamic Republic of Iran Kavoos Khorshidian Department of Statistics, Faculty of Sciences, Shiraz University, Shiraz, Islamic Republic of Iran Journal Article 2020 11 10 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. Stress-Strength parameter Multivariate Delta method UMVUE Consistent estimator https://jsciences.ut.ac.ir/article_85046_011fd662046547ad93343d33cc21095f.pdf