Mathematica Eterna
Open Access

Abstract

On the exponentiated Weibull-Pareto distribution and properties

Xiaolin Song and Zhenhua Bao

The exponentiated Weibull distribution can be used for modeling lifetime data from reliability, survival and population studies. On the other hand, Pareto distributions and their generalizations provide very flexible families of heavy-tailed distributions that may be used to model a wide variety of social and economic distributions. In this paper, we combine the above two heavy-tailed distributions, using the technique for constructing T-X family of distributions. Various structural properties have been investigated including limiting behavior, quantile, mode and kth order moment. Finally, the proposed distribution has been fitted to a real life data and the fit has been found to be good.