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

Year 2017, , 141 - 161, 01.08.2017

Yeşim Güney Olcay Arslan

https://doi.org/10.1501/Commua1_0000000808

Cited By: 1

Abstract

In this paper, we consider the parameter estimation of the Marshall–Olkin extended Burr XII (MOEBXII) distribution, which is a generalizationof the Burr XII distribution.For the estimation of the parameters in theMOEBXII, maximum likelihood (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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• Current address : Ye¸sim Güney (Corresponding author): Ankara University, Faculty of Sci- ences, Department of Statistics 06100 Besevler ANKARA TURKEY.
• E-mail address : [e-mail]
• Current address : Olcay Arslan: Ankara University, Faculty of Sciences, Department of Statis- tics 06100 Besevler ANKARA TURKEY.
• E-mail address : [e-mail]