Robust estimation for ARMA models

This paper introduces a new class of robust estimates for ARMA models. They are M-estimates, but the residuals are computed so the effect of one outlier is limited to the period where it occurs. These estimates are closely related to those based on a robust filter, but they have two important advant...

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Detalles Bibliográficos
Autores principales: Muler, N., Peña, D., Yohai, V.J.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00905364_v37_n2_p816_Muler
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Sumario:This paper introduces a new class of robust estimates for ARMA models. They are M-estimates, but the residuals are computed so the effect of one outlier is limited to the period where it occurs. These estimates are closely related to those based on a robust filter, but they have two important advantages: they are consistent and the asymptotic theory is tractable. We perform a Monte Carlo where we show that these estimates compare favorably with respect to standard M-estimates and to estimates based on a diagnostic procedure. © Institute of Mathematical Statistics, 2009.