Parameter estimation of inverse exponential Rayleigh distribution based on classical methods

Document Type : Research Paper


Department of mathematics, College Of Education For Pure Sciences (Ibn AL-Haitham), University of Baghdad, Iraq


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.