The S-Estimator in Change-Point Random Model with Long Memory

Details The S-Estimator in Change-Point Random Model with Long Memory The S-Estimator in Change-Point Random Model with Long Memory

2009-06-09

arxiv.org/abs/0906.1710v1

Mathematics

Statistics Theory

Scientific paper

The paper considers two-phase random design linear regression models. The errors and the regressors are stationary long-range dependent Gaussian. The regression parameters, the scale parameters and the change-point are estimated using a method introduced by Rousseeuw and Yohai(1984). This is called S-estimator and it has the property that is more robust than the classical estimators; the outliers don't spoil the estimation results. Some asymptotic results, including the strong consistency and the convergence rate of the S-estimators, are proved.

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