메뉴 건너뛰기




Volumn 16, Issue 1, 2005, Pages 97-113

A flexible coefficient smooth transition time series model

Author keywords

Neural networks; Smooth transition models; Threshold models; Time series

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; LINEAR SYSTEMS; MATHEMATICAL MODELS; MONTE CARLO METHODS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; REGRESSION ANALYSIS; THEOREM PROVING; TIME SERIES ANALYSIS; TIME VARYING SYSTEMS;

EID: 13844275978     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2004.836246     Document Type: Article
Times cited : (42)

References (56)
  • 1
    • 84986792427 scopus 로고
    • "On estimating thresholds in autoregressive Models"
    • K. S. Chan and H. Tong, "On estimating thresholds in autoregressive models," J. Time Series Anal., vol. 7, pp. 179-190, 1986.
    • (1986) J. Time Series Anal. , vol.7 , pp. 179-190
    • Chan, K.S.1    Tong, H.2
  • 2
    • 0000894103 scopus 로고
    • "Testing linearity against smooth transition autoregressive models"
    • R. Luukkonen, P. Saikkonen, and T. Teräsvirta, "Testing linearity against smooth transition autoregressive models," Biometrika, vol. 75, pp. 491-499, 1988.
    • (1988) Biometrika , vol.75 , pp. 491-499
    • Luukkonen, R.1    Saikkonen, P.2    Teräsvirta, T.3
  • 3
    • 84923053681 scopus 로고
    • "Specification, estimation, and evaluation of smooth transition autoregressive models"
    • T. Teräsvirta, "Specification, estimation, and evaluation of smooth transition autoregressive models," J. Amer. Statist. Assoc., vol. 89, no. 425, pp. 208-218, 1994.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , Issue.425 , pp. 208-218
    • Teräsvirta, T.1
  • 4
    • 85045980281 scopus 로고    scopus 로고
    • "Smooth transition autoregressive models - A survey of recent developments"
    • D. van Dijk, T. Terävirta, and P. H. Franses, "Smooth transition autoregressive models - a survey of recent developments," Econometric Rev., vol. 21, pp. 1-47, 2002.
    • (2002) Econometric Rev. , vol.21 , pp. 1-47
    • Dijk, D.1    Terävirta, T.2    Franses, P.H.3
  • 5
    • 0000315153 scopus 로고
    • "Estimating the transition between two intersecting lines"
    • D. W. Bacon and D. G. Watts, "Estimating the transition between two intersecting lines," Biometrika, vol. 58, pp. 525-534, 1971.
    • (1971) Biometrika , vol.58 , pp. 525-534
    • Bacon, D.W.1    Watts, D.G.2
  • 7
    • 13844293664 scopus 로고    scopus 로고
    • "A hybrid linear-neural model for time series forecasting"
    • Marseilles
    • A. Veiga anal M. Medeiros, "A hybrid linear-neural model for time series forecasting," in Proc. NEURAP, Marseilles, 1998, pp. 377-384.
    • (1998) Proc. NEURAP , pp. 377-384
    • Veiga, A.1    Medeiros, M.2
  • 8
    • 0001121243 scopus 로고    scopus 로고
    • "A hybrid linear-neural model for time series forecasting"
    • Nov
    • M. C. Medeiros and A. Veiga, "A hybrid linear-neural model for time series forecasting," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1402-14012, Nov. 2000.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , Issue.6 , pp. 1402-14012
    • Medeiros, M.C.1    Veiga, A.2
  • 9
    • 0003566072 scopus 로고
    • ser. Oxford Statistical Science Series. Oxford, U.K.: Oxford Univ. Press
    • H. Tong, Non-linear Time Series: A Dynamical Systems Approach, ser. Oxford Statistical Science Series. Oxford, U.K.: Oxford Univ. Press, 1990, vol. 6.
    • (1990) Non-linear Time Series: A Dynamical Systems Approach , vol.6
    • Tong, H.1
  • 10
    • 0009904986 scopus 로고    scopus 로고
    • "Stationarity and stability of autoregressive neural network processes"
    • M. S. Kearns, S. A. Solla, and D. A. Cohn, Eds. Cambridge, MA: MIT Press
    • F. Leisch, A. Trapletti, and K. Hornik, "Stationarity and stability of autoregressive neural network processes," in Advances in Neural Information Processing Systems, M. S. Kearns, S. A. Solla, and D. A. Cohn, Eds. Cambridge, MA: MIT Press, 1999, vol. 11.
    • (1999) Advances in Neural Information Processing Systems , vol.11
    • Leisch, F.1    Trapletti, A.2    Hornik, K.3
  • 11
    • 0034296647 scopus 로고    scopus 로고
    • "Stationary and integrated autoregressive neural network processes"
    • A. Trapletti, F. Leisch, and K. Hornik, "Stationary and integrated autoregressive neural network processes," Neural Computat., vol. 12, pp. 2427-2450, 2000.
    • (2000) Neural Computat. , vol.12 , pp. 2427-2450
    • Trapletti, A.1    Leisch, F.2    Hornik, K.3
  • 12
    • 21144469069 scopus 로고
    • "Functional coefficient autoregressive models"
    • R. Chen and R. S. Tsay, "Functional coefficient autoregressive models," J. Amer. Statist. Assoc., vol. 88, pp. 298-308, 1993.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 298-308
    • Chen, R.1    Tsay, R.S.2
  • 13
    • 0442293877 scopus 로고    scopus 로고
    • "On single-index coefficient regression models"
    • Y. Xia and W. K. Li, "On single-index coefficient regression models," J Amer. Statist. Assoc., vol. 94, no. 448, pp. 1275-1285, 1999.
    • (1999) J Amer. Statist. Assoc. , vol.94 , Issue.448 , pp. 1275-1285
    • Xia, Y.1    Li, W.K.2
  • 14
    • 0033416447 scopus 로고    scopus 로고
    • "Modeling multiple regimes in the business cycle"
    • D. van Dijk and P. H. Franses, "Modeling multiple regimes in the business cycle," Macroeconom. Dynam., vol. 3, no. 3, pp. 311-340, 1999.
    • (1999) Macroeconom. Dynam. , vol.3 , Issue.3 , pp. 311-340
    • Dijk, D.1    Franses, P.H.2
  • 15
    • 0040805946 scopus 로고    scopus 로고
    • "Business cycle nonlinearities in uk consumption and production"
    • N. Öcal and D. Osborn, "Business cycle nonlinearities in uk consumption and production," J. Appl. Econometrics, vol. 15, pp. 27-43, 2000.
    • (2000) J. Appl. Econometrics , vol.15 , pp. 27-43
    • Öcal, N.1    Osborn, D.2
  • 16
    • 0032330094 scopus 로고    scopus 로고
    • "Multiple regimes in US output fluctuations"
    • S. J. Cooper, "Multiple regimes in US output fluctuations," J. Bus. Econom. Statist., vol. 16, no. 1, pp. 92-100, 1998.
    • (1998) J. Bus. Econom. Statist. , vol.16 , Issue.1 , pp. 92-100
    • Cooper, S.J.1
  • 17
    • 84950428199 scopus 로고
    • "Testing and modeling threshold autoregressive processes"
    • R. Tsay, "Testing and modeling threshold autoregressive processes," J Amer. Statist. Assoc., vol. 84, pp. 431 - 452, 1989.
    • (1989) J Amer. Statist. Assoc. , vol.84 , pp. 431-452
    • Tsay, R.1
  • 18
    • 84979455306 scopus 로고
    • "Some advances in nonlinear and adaptive modeling in time-series"
    • G. C. Tiao and R. S. Tsay, "Some advances in nonlinear and adaptive modeling in time-series," J. Forecasting, vol. 13, pp. 109-131, 1994.
    • (1994) J. Forecasting , vol.13 , pp. 109-131
    • Tiao, G.C.1    Tsay, R.S.2
  • 19
    • 13844268745 scopus 로고    scopus 로고
    • "Censored latent effects autoregression with an application to us unemployment"
    • Econometric Institute, Erasmus Univ., Econometric Inst. Rep. 9841/A
    • P. H. Franses and R. Paap, "Censored latent effects autoregression with an application to us unemployment," Econometric Institute, Erasmus Univ., Econometric Inst. Rep. 9841/A, 1999.
    • (1999)
    • Franses, P.H.1    Paap, R.2
  • 20
    • 78649633935 scopus 로고
    • "Nonlinear modeling of time series using multivariate adaptive regression splines"
    • P. A. W. Lewis and J. G. Stevens, "Nonlinear modeling of time series using multivariate adaptive regression splines," J. Amer. Statist. Assoc., vol. 86, pp. 864-877, 1991.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 864-877
    • Lewis, P.A.W.1    Stevens, J.G.2
  • 21
    • 0031093163 scopus 로고    scopus 로고
    • "Nested threshold autoregressive (NeTAR) models"
    • T. Astatkie, D. G. Watts, and W. E. Watt, "Nested threshold autoregressive (NeTAR) models," Int. J. Forecasting, vol. 13, pp. 105-116, 1997.
    • (1997) Int. J. Forecasting , vol.13 , pp. 105-116
    • Astatkie, T.1    Watts, D.G.2    Watt, W.E.3
  • 22
    • 0002158185 scopus 로고    scopus 로고
    • "Testing the adequacy of smooth transition autoregressive models"
    • Ø. Eitrheim and T. Teräsvirta, "Testing the adequacy of smooth transition autoregressive models," J. Econometrics, vol. 74, pp. 59-75, 1996.
    • (1996) J. Econometrics , vol.74 , pp. 59-75
    • Eitrheim, Ø.1    Teräsvirta, T.2
  • 24
    • 13844268746 scopus 로고    scopus 로고
    • Building neural network models for time series: A statistical approach, Stockholm School Economics
    • ser. Working Paper Series in Economics and Finance 508
    • M. C. Medeiros, T. Teräsvirta, and G. Rech, Building neural network models for time series: A statistical approach, Stockholm School Economics, ser. Working Paper Series in Economics and Finance 508, 2002.
    • (2002)
    • Medeiros, M.C.1    Teräsvirta, T.2    Rech, G.3
  • 25
    • 0141976692 scopus 로고    scopus 로고
    • "Diagnostic checking in a flexible non-linear time series model"
    • M. C. Medeiros and A. Veiga, "Diagnostic checking in a flexible non-linear time series model," J. Time Series Anal., vol. 24, pp. 461-482, 2003.
    • (2003) J. Time Series Anal. , vol.24 , pp. 461-482
    • Medeiros, M.C.1    Veiga, A.2
  • 26
    • 0026897370 scopus 로고
    • "Uniqueness of the weights for minimal feedforward nets with a given input-output map"
    • H. J. Sussman, "Uniqueness of the weights for minimal feedforward nets with a given input-output map," Neural Netw., vol. 5, pp. 589-593, 1992.
    • (1992) Neural Netw. , vol.5 , pp. 589-593
    • Sussman, H.J.1
  • 27
    • 0000720909 scopus 로고
    • "Functionally equivalent feedforward neural networks"
    • V. Kurková and P. C. Kainen, "Functionally equivalent feedforward neural networks," Neural Computat., vol. 6, pp. 543-558, 1994.
    • (1994) Neural Computat. , vol.6 , pp. 543-558
    • Kurková, V.1    Kainen, P.C.2
  • 28
    • 0040428297 scopus 로고    scopus 로고
    • "Prediction intervals for artificial neural networks"
    • J. T. G. Hwang and A. A. Ding, "Prediction intervals for artificial neural networks," J. Amer. Statist. Assoc., vol. 92, no. 438, pp. 109-125, 1997.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , Issue.438 , pp. 109-125
    • Hwang, J.T.G.1    Ding, A.A.2
  • 29
    • 0033105287 scopus 로고    scopus 로고
    • "Model selection in neural networks"
    • U. Anders and O. Korn, "Model selection in neural networks," Neural Netw., vol. 12, pp. 309-323, 1999.
    • (1999) Neural Netw. , vol.12 , pp. 309-323
    • Anders, U.1    Korn, O.2
  • 30
    • 0016355478 scopus 로고
    • "A new look at the statistical model identification"
    • Dec
    • H. Akaike, "A new look at the statistical model identification," IEEE Trans. Autom. Control, vol. 19, no. 6, pp. 716-723, Dec. 1974.
    • (1974) IEEE Trans. Autom. Control , vol.19 , Issue.6 , pp. 716-723
    • Akaike, H.1
  • 31
    • 0000120766 scopus 로고
    • "Estimating the dimension of a model"
    • G. Schwarz, "Estimating the dimension of a model," Ann. Statist. vol. 6, pp. 461-464, 1978.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 32
    • 0000069295 scopus 로고    scopus 로고
    • "Nonparametric lag selection for time series"
    • R. Tschernig and L. Yang, "Nonparametric lag selection for time series," J. Time Series Anal., vol. 21, pp. 457-487, 2000.
    • (2000) J. Time Series Anal. , vol.21 , pp. 457-487
    • Tschernig, R.1    Yang, L.2
  • 33
    • 84963436542 scopus 로고
    • "Order choice in nonlinear autoregressive models"
    • P. Vieu, "Order choice in nonlinear autoregressive models," Statist., vol. 26, pp. 307-328, 1995.
    • (1995) Statist. , vol.26 , pp. 307-328
    • Vieu, P.1
  • 34
    • 84950945751 scopus 로고
    • "Nonparametric identification of nonlinear time series: Selecting significant lags"
    • T. Tjøstheim and B. Auestad, "Nonparametric identification of nonlinear time series: selecting significant lags," J. Amer. Statist. Assoc., vol. 89, pp. 1410-1419, 1994.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 1410-1419
    • Tjøstheim, T.1    Auestad, B.2
  • 35
    • 0003080582 scopus 로고
    • "On subset selection in nonparametric stochastic regression"
    • Q. Yao and H. Tong, "On subset selection in nonparametric stochastic regression," Statistica Sinica, vol. 4, pp. 51-70, 1994.
    • (1994) Statistica Sinica , vol.4 , pp. 51-70
    • Yao, Q.1    Tong, H.2
  • 36
    • 0001627244 scopus 로고
    • "Identification of nonlinear time series: First order characterization and order determination"
    • B. Auestad and D. Tjøstheim, "Identification of nonlinear time series: first order characterization and order determination," Biometrika, vol. 77, pp. 669-687, 1990.
    • (1990) Biometrika , vol.77 , pp. 669-687
    • Auestad, B.1    Tjøstheim, D.2
  • 38
    • 0017755296 scopus 로고
    • "Hypothesis testing when the nuisance parameter in present only under the alternative"
    • R. B. Davies, "Hypothesis testing when the nuisance parameter in present only under the alternative," Biometrika, vol. 64, pp. 247-254, 1977.
    • (1977) Biometrika , vol.64 , pp. 247-254
    • Davies, R.B.1
  • 39
    • 24944532669 scopus 로고
    • "Hypothesis testing when the nuisance parameter in present only under the alternative"
    • R. B. Davies, "Hypothesis testing when the nuisance parameter in present only under the alternative," Biometrika, vol. 74, pp. 33-44, 1987.
    • (1987) Biometrika , vol.74 , pp. 33-44
    • Davies, R.B.1
  • 40
    • 0002484463 scopus 로고
    • "Lagrange multiplier tests for testing nonlinearities in time series models"
    • P. Saikkonen and R. Luukkonen, "Lagrange multiplier tests for testing nonlinearities in time series models," Scandinavian J. Statist., vol. 15, pp. 55-68, 1988.
    • (1988) Scandinavian J. Statist. , vol.15 , pp. 55-68
    • Saikkonen, P.1    Luukkonen, R.2
  • 41
    • 84981375164 scopus 로고
    • "Power of the neural network linearity test"
    • T. Teräsvirta, C. F. Lin, and C. W. J. Granger, "Power of the neural network linearity test," J. Time Series Anal., vol. 14, no. 2, pp. 309-323, 1993.
    • (1993) J. Time Series Anal. , vol.14 , Issue.2 , pp. 309-323
    • Teräsvirta, T.1    Lin, C.F.2    Granger, C.W.J.3
  • 42
    • 0004165605 scopus 로고
    • 2nd ed, ser. Econometric Society Monographs. Cambridge, U.K.: Cambridge Univ. Press
    • L. G. Godfrey, Misspecification Tests in Econometrics, 2nd ed, ser. Econometric Society Monographs. Cambridge, U.K.: Cambridge Univ. Press, 1988, vol. 16.
    • (1988) Misspecification Tests in Econometrics , vol.16
    • Godfrey, L.G.1
  • 44
    • 0001281382 scopus 로고
    • "Model selection criteria and model selection tests in regression models"
    • T. Teräsvirta and I. Mellin, "Model selection criteria and model selection tests in regression models," Scandinavian J. Statist., vol. 13, pp. 159-171, 1986.
    • (1986) Scandinavian J. Statist. , vol.13 , pp. 159-171
    • Teräsvirta, T.1    Mellin, I.2
  • 45
    • 4243328419 scopus 로고
    • "Determining the number of hidden units in a single hidden-layer neural network model"
    • Bank of Norway
    • T. Teräsvirta and C.-F. J. Lin, "Determining the number of hidden units in a single hidden-layer neural network model," Bank of Norway, 1993.
    • (1993)
    • Teräsvirta, T.1    Lin, C.-F.J.2
  • 48
    • 38249040640 scopus 로고
    • "A class of partially adaptive one-step m-estimators for the nonlinear regression model with dependent observations"
    • B. M. Pötscher and I. R. Prucha, "A class of partially adaptive one-step m-estimators for the nonlinear regression model with dependent observations," J. Econometrics, vol. 32, pp. 219-251, 1986.
    • (1986) J. Econometrics , vol.32 , pp. 219-251
    • Pötscher, B.M.1    Prucha, I.R.2
  • 49
    • 0001013249 scopus 로고
    • "Nonlinear regression with dependent observations"
    • H. White and I. Domowitz, "Nonlinear regression with dependent observations," Econometrica, vol. 52, pp. 143-162, 1984.
    • (1984) Econometrica , vol.52 , pp. 143-162
    • White, H.1    Domowitz, I.2
  • 52
    • 0039025641 scopus 로고    scopus 로고
    • "Smooth transition models: Extensions and outlier robust inference"
    • Ph.D. dissertation, Tinbergen Inst., Rotterdam, The Netherlands
    • D. van Dijk, "Smooth transition models: Extensions and outlier robust inference," Ph.D. dissertation, Tinbergen Inst., Rotterdam, The Netherlands, 1999.
    • (1999)
    • Dijk, D.1
  • 53
    • 84986759419 scopus 로고
    • "The statistical analysis of perturbed limit cycle process using nonlinear time series models"
    • T. Ozaki, "The statistical analysis of perturbed limit cycle process using nonlinear time series models," Journal of Time Series Analysis vol. 3, pp. 29-41, 1982.
    • (1982) Journal of Time Series Analysis , vol.3 , pp. 29-41
    • Ozaki, T.1
  • 54
    • 84981411999 scopus 로고
    • "Threshold variable selection in open-loop threshold autoregressive models"
    • R. Chen, "Threshold variable selection in open-loop threshold autoregressive models," J. Time Series Anal., vol. 16, no. 5, pp. 461-481, 1995.
    • (1995) J. Time Series Anal. , vol.16 , Issue.5 , pp. 461-481
    • Chen, R.1
  • 55
    • 0001025418 scopus 로고
    • "Bayesian interpolation"
    • D. J. C. MaeKay, "Bayesian interpolation," Neural Computat., vol. 4, pp. 415-447, 1992.
    • (1992) Neural Computat. , vol.4 , pp. 415-447
    • Maekay, D.J.C.1
  • 56
    • 0002704818 scopus 로고
    • "A practical bayesian framework for backpropagation networks"
    • D. J. C. Maekay, "A practical bayesian framework for backpropagation networks," Neural Computat., vol. 4, pp. 448-472, 1992.
    • (1992) Neural Computat. , vol.4 , pp. 448-472
    • Maekay, D.J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.