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Volumn 12, Issue 2, 2002, Pages 651-660

Stationary measures for non-irreducible non-continuous Markov chains with time series applications

Author keywords

Bilinear models; Ergodicity; Foster Lyapunov criteria; Geometric ergodicity; Invariant measures; Irreducibility; Nonlinear ARMA models; Positive recurrence; Stationary measures

Indexed keywords


EID: 0036556624     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (14)
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  • 3
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    • Cline, D. B. H. and Pu, H. H. (1998). Verifying irreducibility and continuity of a nonlinear time series. Statist. Probab. Lett. 40, 139-148.
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    • Cline, D.B.H.1    Pu, H.H.2
  • 4
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    • Stability of nonlinear AR(1) time series with delay
    • Cline, D. B. H. and Pu, H. H. (1999a). Stability of nonlinear AR(1) time series with delay. Stoch. Proc. Appl. 82, 307-333.
    • (1999) Stoch. Proc. Appl. , vol.82 , pp. 307-333
    • Cline, D.B.H.1    Pu, H.H.2
  • 6
    • 0033262354 scopus 로고    scopus 로고
    • Geometric ergodicity of nonlinear time series
    • Cline, D. B. H. and Pu, H.-M. H. (1999c). Geometric ergodicity of nonlinear time series. Statist. Sinica 9, 1103-1118.
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    • Cline, D.B.H.1    Pu, H.-M.H.2
  • 8
    • 0002334936 scopus 로고
    • On strict stationarity and ergodicity of a non-linear ARMA model
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    • (1992) J. Appl. Probab. , vol.29 , pp. 363-373
    • Liu, J.1    Susko, E.2
  • 10
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    • Geometric ergodicity of nonlinear first order autoregressive models
    • Tanikawa, A. (1999). Geometric ergodicity of nonlinear first order autoregressive models. Stochastic Models 15, 227-245.
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  • 11
    • 0001302944 scopus 로고    scopus 로고
    • Drift conditions and invariant measures for Markov chains without irreducibility or continuity conditions
    • Tweedie, R. L. (2001). Drift conditions and invariant measures for Markov chains without irreducibility or continuity conditions. Stochastic Process. Appl. 92, 345-354.
    • (2001) Stochastic Process. Appl. , vol.92 , pp. 345-354
    • Tweedie, R.L.1
  • 12
    • 0020717356 scopus 로고
    • The existence of moments for stationary Markov chains
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  • 13
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    • Invariant measures for Markov chains with no irreducibility assumptions
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  • 14
    • 0001302944 scopus 로고    scopus 로고
    • Drift conditions and invariant measures for Markov chains
    • Tweedie, R. L. (2001). Drift conditions and invariant measures for Markov chains. Stoch. Proc. Appl. 92, 345-354.
    • (2001) Stoch. Proc. Appl. , vol.92 , pp. 345-354
    • Tweedie, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.