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Least squares estimator for regression models with some deterministic time varying parameters
Authors:Boutahar  Mohamed  Deniau  Claude
Affiliation:(1) Dept. de Math. Faculté des Sciences case 901, 163 Av. de Luminy, 13288 Marseille Cedex 9, France;(2) GREQAM Vieille Charité, 2 rue de la Charité, 13002 Marseille, France
Abstract:Here we study the least squares estimates in some regression models. We assume that the evolution of the parameter is linearly explosive (i.e. polynomial), or stable (i.e. sinusoidal). We prove the strong consistency, and establish the rate of convergence.
Keywords:Martingale difference sequence  least squares  regression  rate of convergence
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