Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 2 2021 11 01 Estimate survival function of the Topp-Leone exponential distribution with application 53 60 5014 10.22075/ijnaa.2021.5014 EN Hind Jawad Kadhim AlBderi College of Administration and Economics, University of Al-Qadisiyah, Iraq Journal Article 2020 08 05 This is a new lifetime Exponential "distribution using the Topp-Leone generated family of distributions proposed by Rezaei et al. The new distribution is called the Topp-Leone Exponential (TLE) distribution". What is done in this paper is an estimation of the "unlabeled two parameters for Topp-Leone Exponential distribution model by using the maximum likelihood estimator method to get the derivation of the point estimators for all unlabeled parameters according to iterative techniques as Newton $-$ Raphson method, then to derive Ordinary least squares estimator method". "Applying all two methods to estimate related probability functions; death density function, cumulative distribution function, survival function and hazard function (rate function)". When examining the numerical results for probability survival function by employing mean squares error measure and mean absolute percentage measure, this may lead to work on the best method in modeling a set of real data. https://ijnaa.semnan.ac.ir/article_5014_a5d924b34c9e30341cf35b3737e26e0e.pdf