Generalized Inverted Exponential Distribution: Theory and Applications

Abstract

In this research work we introduced generalization of the Inverted Exponential Distribution based on survival function. Our aim is to provide an extensive treatment of the mathematical properties of new model. The possible extension of corresponding probability density and distribution function have been derived and present. Some distributional properties of new model are discussed and order statistics have been derived. Maximum likelihood estimation (MLE) is sued to estimate the model parameters and real-life data application have also used to study the proposed model. Additionally, the study uses Bayesian estimation techniques, obtaining posterior estimates of the model parameters through the use of the Markov Chain Monte Carlo (MCMC) procedure. This method offers more accurate inference than the standard methods. Furthermore, Type-II censoring is used to evaluate the model performance, indicating its flexibility and reliability.