Maximum Lq-Likelihood Estimation for the parameters of Marshall-Olkin Extended Burr XII Distribution

Authors : Şenay ÖZDEMİR, Yeşim GÜNEY, Yetkin TUAÇ, Olcay ARSLAN

Pages : 17-34

Doi:10.31801/cfsuasmas.443579

View : 22 | Download : 10

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :Marshall--Olkin extended Burr XII insert ignore into journalissuearticles values(MOEBXII); distribution is proposed by Al-Saiari et al. insert ignore into journalissuearticles values(2014); to obtain a more flexible family of distributions. Some estimation methods like maximum likelihood, Bayes and M estimations are used to estimate the parameters of the MOEBXII distribution  in literature. In this paper, we propose to use Maximum Lq insert ignore into journalissuearticles values(MLq); estimation method to find alternative estimators for the parameters of the MOEBXII distribution. We give some simulation studies and a real data example to compare the performance of the MLq estimators with the maximum likelihood and M estimators. According to our results MLq estimation method is a good alternative to the maximum likelihood and M estimation methods in the presence of outliers.
Keywords : Marshall Olkin extended Burr XII MOEBXII, distribution, maximum Lq estimation, maximum likelihood estimator