INVERSE EXPONENTIATED EXPONENTIAL POISSON DISTRIBUTION WITH THEORY AND APPLICATIONS

Lal Babu Sah Telee; Vijay Kumar

doi:10.29121/ijoest.v7.i5.2023.535

Authors

Lal Babu Sah Telee Assistant Professor, Department of Management Science, Nepal Commerce Campus, Tribhuvan University, Kathmandu, Nepal
Vijay Kumar Professor, Department of Mathematics and Statistics, Deen Dayal Upadhyaya, Gorakhpur University, Gorakhpur, India

DOI:

https://doi.org/10.29121/ijoest.v7.i5.2023.535

Keywords:

Exponentiated Exponential Poisson Inverse, Exponential Distribution, Maximum Likelihood Estimation, Quantile, Hazard Rate

Abstract

This paper is based on new extension of the exponential distribution named “Exponentiated Exponential Poisson Inverse (IEEP) distribution”. The distribution is based on lifetime issues containing three parameters. Likelihood method is used to estimate the parameters of the distribution. Explicit expressions for reliability/survival function, the hazard rate function, reversed hazard rate, the quantile function and mode are introduced. Maximum Likelihood estimates as well as asymptotic confidence interval are obtained using theory of the Maximum likelihood. For illustration and application, a real data set is analyzed and compared with three other model of literature. Model fitted here is better compared to other models for data considered. All the graphical and computation analysis is performed using R programming.

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