The transmuted exponentiated Weibull geometric distribution: Theory and applications

Year 2016, Volume: 45 Issue: 3, 973 - 987, 01.06.2016

Abdus Saboor İbrahim Elbatal Gauss M. Cordeiro

Abstract

A generalization of the exponentiated Weibull geometric model called

the transmuted exponentiated Weibull geometric distribution is proposed

and studied. It includes as special cases at least ten models.

Some of its structural properties including order statistics, explicit

expressions for the ordinary and incomplete moments and generating

function are derived. The estimation of the model parameters is performed

by the maximum likelihood method. The use of the new lifetime

distribution is illustrated with an example. We hope that the proposed

distribution will serve as a good alternative to other models available

in the literature for modeling positive real data in several areas.

Keywords

Exponentiated Weibull geometric distribution, Goodnessoft statistic, Maximum likelihood estimation, Moment, Order statistic, Survival func- tion, Transmutation map

References

• . .