Robust exponential smoothing of multivariate time series

نویسندگان

  • Christophe Croux
  • Sarah Gelper
  • Koen Mahieu
چکیده

Multivariate time series may contain outliers of different types. In the presence of such outliers, applying standard multivariate time series techniques becomes unreliable. A robust version of multivariate exponential smoothing is proposed. The method is affine equivariant, and involves the selection of a smoothing parameter matrix by minimizing a robust loss function. It is shown that the robust method results in much better forecasts than the classic approach in the presence of outliers, and performs similarly when the data contain no outliers. Moreover, the robust procedure yields an estimator of the smoothing parameter less subject to downward bias. As a byproduct, a cleaned version of the time series is obtained, as is illustrated by means of a real data example. © 2009 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Computational Statistics & Data Analysis

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2010