International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3901 2020 2020 Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan Naser Naser This work focuses on the estimation reliability function    where x and y are two independent Benktander distributions. The greatest likelihood's asymptotic distribution is found. The maximum likelihood estimator, the moment method estimator, and the approximate maximum likelihood estimator of are proposed. We obtain the asymptotic distribution of s maximum likelihood estimate. The  confidence interval can be found using the asymptotic distribution. 2025 2025 137 142 10.54216/IJNS.260413 https://www.americaspg.com/articleinfo/21/show/3901