On the Extended Generalized Inverse Exponential Distribution with Its Applications
Sule Ibrahim *
Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
Bello Olalekan Akanji
Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
Lawal Hammed Olanrewaju
Department of Mathematics, Faculty of Sciences, Obafemi Awolowo University, Ile-Ife, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Breast cancer, demography and insurance, inverse exponential, memorylessness, survival times