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A proof of asymptotic normality for some VARX models
Authors:Mohamed Boutahar  Claude Deniau
Institution:(1) Dépt. de Mathématiques, Faculté des Sciences, Case 901, 163 Avenue de Luminy, 13288 Marseille Cedex 9, France;(2) GREQAM, Vieille Charité, 13002 Marseille, France
Abstract:Here we present a proof of the asymptotic normality of least squares estimates for stable multivariate autoregressive models excited by a deterministic second order input signal.
Keywords:Conditional Lindeberg condition  least squares estimates  martingale difference  persistent excitation  stable autoregressive model  spectral measure
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