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Marshall-Olkin Extended Burr XII (MOEBXII) distribution family, which is ageneralization of Burr XII distribution proposed by Al-Saiari et al. [1] , is aflexible distribution that can be used in many fields such as actuarialscience, economics, life testing, reliability and failure time modeling. Theparameters of the MOEBXII distribution are usually estimated by the maximumlikelihood (ML) and least squares (LS) estimation methods. However, theseestimators are not robust to the outliers which are often encountered inpractice. There are two main purposes of this paper. The first one is to findthe robust estimators for the parameters of the MOEBXII distribution. Thesecond one is to use this distribution for modeling data from pharmacokineticsstudy. To obtain the robust estimators we use the optimal B robust estimatorproposed by Hampel et al. [2]. We provide a simulation study to show theperformance of the proposed estimators for the ML, LS and robust M estimators.We also give a real data example to illustrate the modeling capacity of theMOEBXII distribution for data from pharmacokinetics study.

Optimal B-Robust Estimation for the Parameters of Marshall-Olkin  Extended Burr XII Distribution and Application for Modeling Data from  Pharmacokinetics Study