Abstract
The aim of this paper is to present robust individual tests in autoregressive models with exogenous variables. We derive the asymptotic distribution of the RA-ARX estimators introduced in Duchesne (2004a), following an approach similar to Bustos and Yohai (1986). In particular, we give the asymptotic covariance structure of the RA-ARX estimators. Using this result, we establish the asymptotic distribution of the robustified residual autocorrelations under the null hypothesis of adequacy, which is normal. Some simulation results are reported.
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Bou-Hamad, I., Duchesne, P. (2005). On Robust Diagnostics at Individual Lags Using RA-ARX Estimators. In: Duchesne, P., RÉMillard, B. (eds) Statistical Modeling and Analysis for Complex Data Problems. Springer, Boston, MA. https://doi.org/10.1007/0-387-24555-3_7
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DOI: https://doi.org/10.1007/0-387-24555-3_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-24554-6
Online ISBN: 978-0-387-24555-3
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