Alpha Power Exponentiated Pareto Distribution

In this paper, we have proposed alpha power exponentiated Pareto distribution for lifetime data to introduce a new class of alpha power transformation family. The statistical properties of the distribution such as hazard, survival, quantile, linear representation, moment, and moment generating function were derived. The estimation of distribution parameters has been done by using the maximum likelihood estimation. The model behavior is studied through simulation to test the flexibility of the proposed model. Finally, an application study is used to examine the performance of the proposed model. The criterion such as AIC, BIC, and KS statistics show that the proposed distribution has a better fit compared to the Pareto distribution, exponentiated Pareto distribution, and the alpha power Pareto distribution.