-4d90550d17f4602e08922ff 20220708022432560 ijaas:ijaas ch.ta.yeh@gmail.com WEB-FORM International Journal of ADVANCED AND APPLIED SCIENCES Int. j. adv. appl. sci. 2313626X 23133724 8 2022 8 2022 9 8 Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt M. O. Mohamed In this paper, the problem of estimation when X and Y are two independent upper record values from gamma Lindley distribution is considered. Maximum likelihood and the Bayesian estimator methods were used to set the best-estimated reliability function. The importance of this research is because this model, when applied, can obtain reliability values that depend on upper record values, which is an interesting problem in many real-life applications. Also, based on WHO data on the COVID-19 pandemic, a stress-strength model was applied based on the upper recorded values for Mont-Carlo simulation data. 8 2022 8 2022 92 99 10.21833/ijaas-crossmark www.science-gate.com true IASE www.science-gate.com 10.21833/ijaas.2022.08.012 http://www.science-gate.com/IJAAS/2022/V9I8/1021833ijaas202208012.html http://science-gate.com/IJAAS/Articles/2022/2022-9-8/1021833ijaas202208012.pdf