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Asymptotics of a class of pth-order nonlinear autoregressive processes

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Author Info
Lee, Chanho
Abstract

Criteria are derived for ergodicity and geometric ergodicity of a class of nonlinear pth-order autoregressive processes, which reformulate Tweedie's ones so that they fit our purpose better to improve and extend those results obtained earlier by Chan and Tong, Tjøstheim and others. It will be shown that the criteria in this paper are easily applicable to the linear or piecewise linear case so that some of the earlier results are consequences of our main results, and also show that these can be extended to the nonlinear cases as well.

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

Volume (Year): 40 (1998)
Issue (Month): 2 (September)
Pages: 171-177
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Handle: RePEc:eee:stapro:v:40:y:1998:i:2:p:171-177

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Keywords: Markov process Invariant probability Irreducibility Geometrically Harris ergodic Functional central limit theorem;

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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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