Robust Time Series Estimation via Weighted Likelihood

  • C. Agostinelli
Conference paper

Summary

In this paper we introduce a method for efficient and robust estimation of the unknown parameters of an autoregressive-moving average model based on weighted likelihood. Two types of outliers, i.e. additive and innovation, are taken into account without knowing their number, position or intensity. A new procedure is used to classify the outliers and to bound the impact of additive outliers in order to improve the breakdown point of the method. Two examples and a Monte Carlo simulation are presented.

Key words

Additive outliers Autoregressive-moving average model Innovation outliers Robust estimation Weighted likelihood 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • C. Agostinelli
    • 1
  1. 1.Department of StatisticsUniversity of VeneziaItaly

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