Proceedings of the Korean Statistical Society Conference (한국통계학회:학술대회논문집)
- 2004.11a
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- Pages.129-134
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- 2004
The Weight Function in BIRQ Estimator for the AR(1) Model with Additive Outliers
- Jung Byoung Cheol (Department of Statistics, Sungshin University) ;
- Han Sang Moon (Department of Statistics, University of Seoul)
- Published : 2004.11.01
Abstract
In this study, we investigate the effects of the weight function in the bounded influence regression quantile (BIRQ) estimator for the AR(1) model with additive outliers. In order to down-weight the outliers of X-axis, the Mallows' (1973) weight function has been commonly used in the BIRQ estimator. However, in our Monte Carlo study, the BIRQ estimator using the Tukey's bisquare weight function shows less MSE and bias than that of using the Mallows' weight function or Huber's weight function.