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Volumn 29, Issue 1, 1997, Pages 205-227

On the existence and application of continuous-time threshold autoregressions of order two

Author keywords

Cameron martin girsanov formula; Degenerate diffusion; MARTINGALE problem; Non linear time series; Random time change; Stochastic differential equation; Threshold autoregression

Indexed keywords


EID: 0042896944     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800027853     Document Type: Article
Times cited : (17)

References (21)
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    • On continuous-time threshold ARMA processes
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    • (1994) J. Statist. Planning Inf. , vol.39 , pp. 291-303
    • Brockwell, P.J.1
  • 6
    • 0002611604 scopus 로고
    • Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons
    • (in Russian). To appear in the SIAM translation of the journal
    • DAI, J. G. AND WILLIAMS, R. J. (1995) Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons. Theory Prob. Appl. 40, 3-53 (in Russian). To appear in the SIAM translation of the journal.
    • (1995) Theory Prob. Appl. , vol.40 , pp. 3-53
    • Dai, J.G.1    Williams, R.J.2
  • 8
    • 61849136856 scopus 로고
    • Non-linear time series modelling
    • ed. D. F. Findley. Academic Press, New York
    • GRANGER, C. W. J. AND ANDERSEN, A. P. (1978) Non-linear time series modelling. In Applied Time Series Analysis, ed. D. F. Findley. Academic Press, New York.
    • (1978) Applied Time Series Analysis
    • Granger, C.W.J.1    Andersen, A.P.2
  • 10
    • 0003144477 scopus 로고
    • Fitting a continuous time autoregression to discrete data
    • ed. D. F. Findley. Academic Press, New York
    • JONES, R. H. (1981) Fitting a continuous time autoregression to discrete data. In Applied Time Series Analysis II. ed. D. F. Findley. Academic Press, New York. pp 651-682.
    • (1981) Applied Time Series Analysis II , pp. 651-682
    • Jones, R.H.1
  • 11
    • 0002561350 scopus 로고
    • Martingale problems for constrained Markov problems
    • Ed. J. Baras and V. Mirelli. Springer, New York
    • KURTZ, T. G. (1990) Martingale problems for constrained Markov problems. In Recent Advances in Stochastic Calculus. Ed. J. Baras and V. Mirelli. Springer, New York.
    • (1990) Recent Advances in Stochastic Calculus
    • Kurtz, T.G.1
  • 12
    • 84986777926 scopus 로고
    • Diagnostic checking ARMA time series models using squared-residuals autocorrelations
    • MCLEOD, A. I. AND LI, W. K. (1983) Diagnostic checking ARMA time series models using squared-residuals autocorrelations. J. Time Series Analysis 4, 269-273.
    • (1983) J. Time Series Analysis , vol.4 , pp. 269-273
    • Mcleod, A.I.1    Li, W.K.2
  • 14
    • 84972548792 scopus 로고
    • On the existence of solutions of stochastic differential equations
    • NISIO, M. (1973) On the existence of solutions of stochastic differential equations. Osaka J. Math. 10, 185-208.
    • (1973) Osaka J. Math. , vol.10 , pp. 185-208
    • Nisio, M.1
  • 15
    • 84984420185 scopus 로고
    • A comparison of tests for SETAR-type non-linearity in time series
    • PETRUCCELLI, J. D. (1990) A comparison of tests for SETAR-type non-linearity in time series. J. Forecasting 9, 25-36.
    • (1990) J. Forecasting , vol.9 , pp. 25-36
    • Petruccelli, J.D.1
  • 20
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    • Testing and modeling threshold autoregressive processes
    • TSAY, R. S. (1989) Testing and modeling threshold autoregressive processes. J. Amer. Statist. Assoc. 84, 231-240.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 231-240
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  • 21
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    • Brownian motion in a wedge with oblique reflection
    • VARADHAN, S. R. S. AND WILLIAMS, R. J. (1985) Brownian motion in a wedge with oblique reflection. Commun. Pure Appl. Math. 38, 405-443.
    • (1985) Commun. Pure Appl. Math. , vol.38 , pp. 405-443
    • Varadhan, S.R.S.1    Williams, R.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.