Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 1 2021 05 01 Parameter estimation of inverse exponential Rayleigh distribution based on classical methods 935 944 4948 10.22075/ijnaa.2021.4948 EN Mayssa J. Mohammed Department of mathematics, College Of Education For Pure Sciences (Ibn AL-Haitham), University of Baghdad, Iraq Ali T. Mohammed Department of mathematics, College Of Education For Pure Sciences (Ibn AL-Haitham), University of Baghdad, Iraq Journal Article 2020 11 29 This paper introduces and developed a new lifetime distribution known as inverse exponential Rayleigh distribution (IERD). The new two-scale parameters generalized distribution was studies with its distribution and density functions, besides that the basic properties such as survival, hazard, cumulative hazard, quantile function, skewness, and Kurtosis functions were established and derived. To estimate the model parameters, maximum likelihood, and rank set sampling estimation methods were applied with real-life data. https://ijnaa.semnan.ac.ir/article_4948_82fb6659406d9ce0a5cf960abf8a1baf.pdf