Open AccessOn the Extended Generalized Inverse Exponential Distribution with Its Applications
Author(s) -
S. Ibrahim,
Bello Olalekan Akanji,
Lawal Hammed Olanrewaju
Publication year - 2020
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2020/v7i330184
Subject(s) - exponential function , mathematics , generalized integer gamma distribution , inverse , exponential distribution , exponential family , natural exponential family , generalized beta distribution , gamma distribution , generalized inverse , distribution (mathematics) , quantile function , quantile , hazard , function (biology) , inverse distribution , statistics , heavy tailed distribution , probability density function , cumulative distribution function , mathematical analysis , distribution fitting , geometry , organic chemistry , chemistry , evolutionary biology , biology
We propose a new distribution called the extended generalized inverse exponential distribution with four positive parameters, which extends the 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 and odd functions. The method of maximum likelihood is used to estimate the parameters of the distribution. We illustrate its potentiality with applications to two real data sets which show that the extended generalized inverse exponential model provides a better fit than other models considered.