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The Determination of Outlier Values by M Estimator in Nonlinear Regression and a Simulation Study

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Author(s): Ahmet Pekgör | Aşır Genç

Journal: Selçuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: Statistics;
Issue: Special Issue;
Start page: 137;
Date: 2011;
Original page

Keywords: Nonlinear regression | M estimator | Outlier | Selçuk STAT.

ABSTRACT
The existence of a few outlier values in the sampling would prevent the information given by the majority of the sampling and all of the statistics would turn to be insignificant. Therefore it is essential to determine the outliers in the sampling. In the literature, there are studies regarding the determination of the outliers in the linear regression. In this study, under the light of the studies of Rousseeuw ve Zomeren (1990) and Wu and Lee (2006), it is aimed to determination of outlier values by M estimator in nonlinear regression, one of the robust location estimators. In the application, the height of a corn plant has been analyzed as the sample data set per weeks in the period of 2008 in the Konya region using the Selçuk STAT statistics package program.
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