Parameter estimation of inverse exponential Rayleigh distribution based on classical methods

Document Type : Research Paper


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 studied with its distribution and density functions, besides 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.


Articles in Press, Accepted Manuscript
Available Online from 19 April 2023
  • Receive Date: 16 January 2021
  • Revise Date: 25 March 2021
  • Accept Date: 29 March 2021
  • First Publish Date: 19 April 2023