Estimation of the location and the scale parameters of Burr Type XII distribution

Authors : Fatma Gül AKGÜL, Şükrü ACITAŞ, Birdal ŞENOĞLU

Pages : 1030-1044

Doi:10.31801/cfsuasmas.501455

View : 21 | Download : 22

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :The aim of this paper is to estimate the location and the scale parameters of Burr Type XII distribution. For this purpose, different estimation methods, namely, maximum likelihood insert ignore into journalissuearticles values(ML);, modified maximum likelihood insert ignore into journalissuearticles values(MML);, least squares insert ignore into journalissuearticles values(LS); and method of moments insert ignore into journalissuearticles values(MM); are used. The performances of these estimation methods are compared via Monte-Carlo simulation study under different sample sizes and parameter settings. At the end of the study, the wind speed data set and the annual flow data sets are analyzed for illustration of the modeling performance of Burr Type XII distribution. 
Keywords : Burr XII distribution, maximum likelihood, modified maximum likelihood, least squares, method of moments, efficiency