A weighted inverted exponential distributions

Abstract

In this paper, a generalized version of the inverted exponential distribution called the weighted inverted exponential distribution is introduced. The proposed distribution is used to analyze lifetime data. Several statistical properties of the weighted inverted exponential distribution are studied and derived. Least squares estimation, maximum likelihood estimation and Bayesian estimation methods are used to evaluate the distribution parameters. Numerical simulation and a real-life data analysis are carried out to validate the robustness of the proposed distribution.