IJARP SJIF(2018): 4.908

International Journal of Advanced Research and Publications!

Exponential Pareto Negative Binomial Distribution With Its Properties And Application

Volume 4 - Issue 4, April 2020 Edition
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Author(s)
Akomolafe, A. A., Oladejo,O. M., Bello, A. H. and Ajiboye, A. S.
Keywords
Moment Generating Function, Survival Rate, Harzard rate, Exponential Pareto Negative Binomial Distribution, Maximum Likelihood Method.
Abstract
In this research, we consider certain results characterizing the generalization of Exponential Pareto and Negative Binomial Distribution through their distribution functions and asymptotic properties. The resulting Exponential Pareto Negative Binomial Distribution [EPNBD] was defined and some of its properties like moment generating function, survival rate function, hazard rate function and cumulative distribution function were investigated. The estimation of the model parameters was performed using maximum likelihood estimation method. The distribution was found to generalize some known distributions thereby providing a great flexibility in modeling symmetric, heavy tailed, skewed and bimodal distributions, the use of the new lifetime distribution was illustrated using failure time life data.
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