Verifying irreducibility and continuity of a nonlinear time series

Daren B. H. Cline and Huay-min H. Pu

Statistics & Probability Letters, 1998, vol. 40, issue 2, 139-148

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.

Keywords: [psi]-Irreducibility; Aperiodicity; T-chain; Feller; chain (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (19)

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