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Robust estimation of the VAR model

Publication at Faculty of Mathematics and Physics |
2009

Abstract

Vector autoregressive model is a very popular tool in multiple time series analysis. Its parameters are usually estimated by the least squares procedure which is very sensitive to the presence of errors in data, e.g. outliers.

If outliers were present, the estimation results would become unreliable. Therefore in the presented paper we will propose a new procedure for estimating multivariate regression model.

This method is a multivariate generalization of the least weighted squares (LWS) of residuals and we will use it for estimating the coefficients of vector autoregressive model.