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A note on the ergodicity of non-linear autoregressive model

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Author Info
An, H. Z.
Chen, S. G.
Abstract

We examine the Markov chain Xt = [Phi](Xt - 1) + [var epsilon]tb, where Xt = (xt, ..., xt - p + 1)[tau], B = (1, 0, ..., 0)[tau]. Under some appropriate conditions on [Phi], we show the ergodicity for {Xt} when E[var epsilon]t2 is suitable small, and the geometric ergodicity when Ee[var epsilon]t is suitably small.

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Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 34 (1997)
Issue (Month): 4 (June)
Pages: 365-372
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Handle: RePEc:eee:stapro:v:34:y:1997:i:4:p:365-372

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Keywords: Markov chain Ergodicity Geometric ergodicity Non-linear autoregressive model;

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  1. Mika Meitz & Pentti Saikkonen, 2007. "Stability of nonlinear AR-GARCH models," Economics Series Working Papers 328, University of Oxford, Department of Economics. [Downloadable!]
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