Open AccessA New Extended Generalized Inverse Exponential Distribution: Properties and Applications
Author(s) -
Bashiru Omeiza Sule
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v11i230264
Subject(s) - mathematics , exponential function , inverse , exponential distribution , generalized integer gamma distribution , quantile function , generalized beta distribution , exponential family , hazard , quantile , cumulative distribution function , distribution (mathematics) , statistics , probability density function , distribution fitting , mathematical analysis , geometry , organic chemistry , chemistry
The quest by researchers in the area of distribution theory in proposing new models with greater flexibility has filled literature. On this note, we proposed a new distribution called the new extended generalized inverse exponential distribution with five positive parameters, which extends and generalizes the extended generalized inverse exponential distribution. We derive some mathematical properties of the proposed model including explicit expressions for the quantile function, moments, generating function, survival, hazard rate, reversed hazard rate, cumulative hazard rate function and odds functions. The method of maximum likelihood is used to estimate the parameters of the distribution. We illustrate its potentiality with applications to three real life data sets which show that the new extended generalized inverse exponential model provides greater flexibility and better fit than other competing models considered.