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Verifying irreducibility and continuity of a nonlinear time series

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Author Info
Cline, Daren B. H.
Pu, Huay-min H.
Abstract

When considering the stability of a nonlinear time series, verifying aperiodicity, irreducibility and smoothness of the transitions for the corresponding Markov chain is often the first step. Here, we provide reasonably general conditions applicable to nonlinear autoregressive time series, including many with nonadditive errors.

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

Volume (Year): 40 (1998)
Issue (Month): 2 (September)
Pages: 139-148
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Handle: RePEc:eee:stapro:v:40:y:1998:i:2:p:139-148

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Keywords: [psi]-Irreducibility Aperiodicity T-chain Feller chain;

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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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