ON THE FLEXIBILITY OF EXPONENTIATED TYPE II GENERALIZED TOPP-LEONE INVERSE EXPONENTIAL DISTRIBUTION

Abstract

The literature calls for new distribution models with greater flexibility in distribution theory. As a result, a new four-parameter lifetime distribution, the Exponentiated Type II Generalized Topp-Leone Inverse Exponential distribution, is introduced. An expansion for the probability distribution functions and cumulative density function was carried out, which was used to derive some mathematical and statistical properties of the distribution, such as the moments, moment generating function, quantile function, survival function, hazard function, and probability weighted Moment. The estimation of the parameters by the maximum likelihood method was discussed. Its potential was illustrated by applying it to two real-life datasets to demonstrate its fit and flexibility relative to some lifetime distributions in the literature. The results showed that the new distribution developed fits the two datasets used better than the comparators.