ROBUST PARAMETER ESTIMATION FOR THE MARSHALL-OLKIN EXTENDED BURR XII DISTRIBUTION

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:66 Issue:2
ROBUST PARAMETER ESTIMATION FOR THE MARSHALL-OLKIN EXTENDED BURR XII DISTRIBUTION

ROBUST PARAMETER ESTIMATION FOR THE MARSHALL-OLKIN EXTENDED BURR XII DISTRIBUTION

Authors : Yeşim GÜNEY, Olcay ARSLAN

Pages : 141-161

Doi:10.1501/Commua1_0000000808

View : 15 | Download : 5

Publication Date : 2017-08-01

Article Type : Research Paper

Abstract :In this paper, we consider the parameter estimation of the Marshall–Olkin extended Burr XII insert ignore into journalissuearticles values(MOEBXII); distribution, which is a generalizationof the Burr XII distribution.For the estimation of the parameters in theMOEBXII, maximum likelihood insert ignore into journalissuearticles values(ML); is available. However, this is not robustestimator. In this paper we proposed a robust estimator based on M estimation method to estimate the parameters of the MOEBXII distribution. Weperform a small simulation study to illustrate the performance of proposedmethod. We also reanalyze two data sets to asses the capability of the robustestimators over the ML and LS estimators
Keywords : Marshall Olkin extended Burr XII MOEBXII, distribution, robustestimator, maximum likelihood estimator, least squares estimator

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