Estimation of parameters for the exponentiated Pareto distribution based on progressively type-II right censored data

Authors

1 Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

2 Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, Egypt

Abstract

In this paper, we derive the best linear unbiased estimates (BLEUs) and the maximum
likelihood estimates (MLEs) of the location and scale parameters from the Exponentiated
Pareto distribution based on progressively Type-II right censored order statistics. In addition, we
use Monte-Carlo simulation method to obtain the mean square error of the best linear unbiased
estimates and the maximum likelihood estimates and make comparison between them. Finally, we
present numerical example.

Keywords