Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
MAXIMUM LQ-LIKELIHOOD ESTIMATION FOR THE PARAMETERS OF MARSHALL-OLKIN EXTENDED BURR XII DISTRIBUTION
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 17–34
- DOI
- —
Abstract
MarshallñOlkin extended Burr XII (MOEBXII) distribution isproposed by Al-Saiari et al. (2014) to obtain a more áexible family of distributions. Some estimation methods like maximum likelihood, Bayes and Mestimations are used to estimate the parameters of the MOEBXII distributionin literature. In this paper, we propose to use Maximum Lq (MLq) estimationmethod to Önd alternative estimators for the parameters of the MOEBXII distribution. We give some simulation studies and a real data example to comparethe performance of the MLq estimators with the maximum likelihood and Mestimators. According to our results MLq estimation method is a good alternative to the maximum likelihood and M estimation methods in the presenceof outliers.