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Volumn 6, Issue 3, 1996, Pages 715-732

Existence and stability of continuous time threshold arma processes

Author keywords

Continuous time SETARMA models; Exponential ergodicity; Irreducible Markov processes; Non linear time series; Recurrence; Stationary distributions; Stochastic differential equations; Transience

Indexed keywords


EID: 21444451585     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (21)
  • 3
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    • 38149146564 scopus 로고
    • On continuous time threshold ARMA processes
    • Brockwell, P. J. (1994). On continuous time threshold ARMA processes. J. Statist. Plann. Inference 39, 291-303.
    • (1994) J. Statist. Plann. Inference , vol.39 , pp. 291-303
    • Brockwell, P.J.1
  • 6
    • 0347131375 scopus 로고
    • On the approximation of continuous time threshold ARMA processes
    • Brockwell, P. J. and Stramer, O. (1995). On the approximation of continuous time threshold ARMA processes. Ann. Inst. Statist. Math. 47, 1-20.
    • (1995) Ann. Inst. Statist. Math. , vol.47 , pp. 1-20
    • Brockwell, P.J.1    Stramer, O.2
  • 8
    • 0000885577 scopus 로고
    • Transience and recurrence of Markov jrocesses
    • Springer-Verlag, Berlin, Heidelberg, New York
    • Getoor, R. K. (1979). Transience and recurrence of Markov jrocesses. Sem. de Probabilités XIV, 397-409. Springer-Verlag, Berlin, Heidelberg, New York.
    • (1979) Sem. De Probabilités , vol.14 , pp. 397-409
    • Getoor, R.K.1
  • 9
    • 0001392137 scopus 로고
    • A classification of the second order degenerate elliptic operators and its probabilistic characterization
    • Ichihara, K. and Kunita, II. (1974). A classification of the second order degenerate elliptic operators and its probabilistic characterization. Z. Wahrscheinlichkeitstheorie verw. Gebiete 30, 235-254.
    • (1974) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.30 , pp. 235-254
    • Ichihara, K.1    Kunita, I.I.2
  • 10
    • 0003144477 scopus 로고
    • Fitting a continuous time autoregression to discrete data
    • Edited by D. F. Findley, Academic Press, New York
    • Jones, R. H. (1981). Fitting a continuous time autoregression to discrete data. Applied Time Series Analysis II (Edited by D. F. Findley), 651-682. Academic Press, New York.
    • (1981) Applied Time Series Analysis , vol.2 , pp. 651-682
    • Jones, R.H.1
  • 12
    • 0000684659 scopus 로고
    • Stability of Markovian processes II: Continuous Time Processes and Sampled Chains
    • Meyn, S. P. and Tweedie, R. L. (1993a). Stability of Markovian processes II: Continuous Time Processes and Sampled Chains. Adv. Appl. Probab. 25, 487-517.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 487-517
    • Meyn, S.P.1    Tweedie, R.L.2
  • 13
    • 0001340188 scopus 로고
    • Stability of Markovian processes III: Foster-Lyapunov Criteria for Continuous Time Processes
    • Meyn, S. P. and Tweedie, R. L. (1993b). Stability of Markovian processes III: Foster-Lyapunov Criteria for Continuous Time Processes. Adv. Appl. Probab. 25, 518-548.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 518-548
    • Meyn, S.P.1    Tweedie, R.L.2
  • 17
    • 25444529054 scopus 로고    scopus 로고
    • Existence and stability of weak solutions to stochastic differential equations with non-smooth coefficients
    • under revision
    • Stramer, O. and Tweedie, R. L. (1996). Existence and stability of weak solutions to stochastic differential equations with non-smooth coefficients. Statist. Sinica (under revision).
    • (1996) Statist. Sinica
    • Stramer, O.1    Tweedie, R.L.2
  • 20
    • 0040823372 scopus 로고
    • Threshold autoregressive modelling in continuous time
    • Tong, H. and Yeung, I. (1991). Threshold autoregressive modelling in continuous time. Statist. Sinica 1, 411-430.
    • (1991) Statist. Sinica , vol.1 , pp. 411-430
    • Tong, H.1    Yeung, I.2
  • 21
    • 0642360638 scopus 로고
    • Topological conditions enabling use of Harris methods in discrete and continuous time
    • Tweedie, R. L. (1994). Topological conditions enabling use of Harris methods in discrete and continuous time. Ado. Applic. Math. 34, 175-188.
    • (1994) Ado. Applic. Math. , vol.34 , pp. 175-188
    • Tweedie, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.