메뉴 건너뛰기




Volumn 26, Issue 5, 2005, Pages 715-741

Using the penalized likelihood method for model selection with nuisance parameters present only under the alternative: An application to switching regression models

Author keywords

Law of the iterated logarithm; Model selection; Penalized likelihood method; Switching regression models

Indexed keywords


EID: 24344439879     PISSN: 01439782     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9892.2005.00443.x     Document Type: Article
Times cited : (9)

References (46)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • AKAIKE, H. (1974) A new look at the statistical model identification. IEEE Transactions on Automatic Control AC-19, 716-23.
    • (1974) IEEE Transactions on Automatic Control , vol.AC-19 , pp. 716-723
    • Akaike, H.1
  • 2
    • 15744404732 scopus 로고    scopus 로고
    • Bounds for inference with nuisance parameters present only under the alternatives
    • ALTISSIMO, F. and CORRADI, V. (2002) Bounds for inference with nuisance parameters present only under the alternatives. Econometrics Journal 5, 494-518.
    • (2002) Econometrics Journal , vol.5 , pp. 494-518
    • Altissimo, F.1    Corradi, V.2
  • 3
    • 84971943390 scopus 로고
    • Generic uniform conditions
    • ANDREWS, D. W. K. (1992) Generic uniform conditions. Econometric Theory 8, 241-57.
    • (1992) Econometric Theory , vol.8 , pp. 241-257
    • Andrews, D.W.K.1
  • 4
    • 0345996471 scopus 로고
    • An introduction to econometric applications of empirical process theory for dependent random variables
    • ANDREWS, D. W. K. (1993) An introduction to econometric applications of empirical process theory for dependent random variables. Econometric Review 12, 183-216.
    • (1993) Econometric Review , vol.12 , pp. 183-216
    • Andrews, D.W.K.1
  • 5
    • 70350121618 scopus 로고
    • Empirical process methods in econometrics
    • ch. 37. New York, North-Holland
    • ANDREWS, D. W. K. (1994) Empirical process methods in econometrics. In Handbook of Econometrics 4, ch. 37. New York, North-Holland, pp. 2248-92.
    • (1994) Handbook of Econometrics , vol.4 , pp. 2248-2292
    • Andrews, D.W.K.1
  • 6
    • 0000209591 scopus 로고
    • Optimal tests when the nuisance parameters are present only under the alternative
    • ANDREWS, D. W. K. and PLOBERGER, W. (1994) Optimal tests when the nuisance parameters are present only under the alternative. Econometrica 62, 1383-414.
    • (1994) Econometrica , vol.62 , pp. 1383-1414
    • Andrews, D.W.K.1    Ploberger, W.2
  • 7
    • 21344479405 scopus 로고
    • An introduction to functional central limit theorems for dependent stochastic processes
    • ANDREWS, D. W. K. and POLLARD, D. (1994) An introduction to functional central limit theorems for dependent stochastic processes. International Statistical Review 62, 119-32.
    • (1994) International Statistical Review , vol.62 , pp. 119-132
    • Andrews, D.W.K.1    Pollard, D.2
  • 9
    • 0010128948 scopus 로고
    • A review of some limit theorems of Markov chains and their applications
    • (ed. H. TONG), World Scientific Publishing. Singapore, New York
    • CHAN, K. S. (1993) A review of some limit theorems of Markov chains and their applications, In Dimension Estimation and Models (ed. H. TONG), World Scientific Publishing. Singapore, New York.
    • (1993) Dimension Estimation and Models
    • Chan, K.S.1
  • 10
    • 0000773483 scopus 로고
    • On the use of deterministic Lyapunov function for the ergodicity of stochastic difference equations
    • CHAN, K. S. and TONG, H. (1985) On the use of deterministic Lyapunov function for the ergodicity of stochastic difference equations. Advances in Applied Probability 17, 666-78.
    • (1985) Advances in Applied Probability , vol.17 , pp. 666-678
    • Chan, K.S.1    Tong, H.2
  • 11
    • 0012891641 scopus 로고    scopus 로고
    • Establishing conditions for the functional central limit theorem in nonlinear and semiparametric time series processes
    • DAVIDSON, J. (2002) Establishing conditions for the functional central limit theorem in nonlinear and semiparametric time series processes. Journal of Econometrics 106, 243-69.
    • (2002) Journal of Econometrics , vol.106 , pp. 243-269
    • Davidson, J.1
  • 13
    • 0017755296 scopus 로고
    • Hypothesis testing when a nuisance parameter is present only under the alternative
    • DAVIES, R. B. (1977) Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 64, 247-54.
    • (1977) Biometrika , vol.64 , pp. 247-254
    • Davies, R.B.1
  • 14
    • 24944532669 scopus 로고
    • Hypothesis testing when a nuisance parameter is present only under the alternative
    • DAVIES, R. B. (1987) Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 74, 33-43.
    • (1987) Biometrika , vol.74 , pp. 33-43
    • Davies, R.B.1
  • 18
    • 0000600527 scopus 로고
    • Comments on testing economic theories and the use of model selection criteria
    • GRANGER, C. W. J., KING, M. L. and WHITE, H. (1995) Comments on testing economic theories and the use of model selection criteria. Journal of Econometrics 67, 173-87.
    • (1995) Journal of Econometrics , vol.67 , pp. 173-187
    • Granger, C.W.J.1    King, M.L.2    White, H.3
  • 19
    • 0001342006 scopus 로고
    • A new approach to economic analysis of non-stationary time series and business cycles
    • HAMILTON, J. D. (1989) A new approach to economic analysis of non-stationary time series and business cycles. Econometrica 57, 357-84.
    • (1989) Econometrica , vol.57 , pp. 357-384
    • Hamilton, J.D.1
  • 20
    • 45149138487 scopus 로고
    • Analysis of time series subject to changes in regimes
    • HAMILTON, J. D. (1990) Analysis of time series subject to changes in regimes. Journal of Econometrics 45, 39-70.
    • (1990) Journal of Econometrics , vol.45 , pp. 39-70
    • Hamilton, J.D.1
  • 21
    • 84986382561 scopus 로고
    • The likelihood ratio test under nonstandard conditions: Testing the Markov-switching model of GNP
    • HANSEN, B. E. (1992) The likelihood ratio test under nonstandard conditions: testing the Markov-switching model of GNP. Journal of Applied Econometrics 7, S61-82.
    • (1992) Journal of Applied Econometrics , vol.7
    • Hansen, B.E.1
  • 22
    • 0030373966 scopus 로고    scopus 로고
    • Inference when a nuisance parameter is not identified under the null hypothesis
    • HANSEN, B. E. (1996a) Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica 64, 413-30.
    • (1996) Econometrica , vol.64 , pp. 413-430
    • Hansen, B.E.1
  • 23
    • 18544374745 scopus 로고    scopus 로고
    • Stochastic equicontinuity for unbounded dependent heterogeneous arrays
    • HANSEN, B. E. (1996b) Stochastic equicontinuity for unbounded dependent heterogeneous arrays. Econometric Theory 12, 347-59.
    • (1996) Econometric Theory , vol.12 , pp. 347-359
    • Hansen, B.E.1
  • 27
    • 44949289676 scopus 로고
    • The Hamilton model with general autoregressive component: Estimation and comparison with other models of economic time series
    • LAM, P. S. (1990) The Hamilton model with general autoregressive component: estimation and comparison with other models of economic time series. Journal of Monetary Economics 26, 409-32.
    • (1990) Journal of Monetary Economics , vol.26 , pp. 409-432
    • Lam, S.P.1
  • 28
    • 14544294639 scopus 로고    scopus 로고
    • Modeling the U.S. short-term interest rate by mixture autoregressive processes
    • LANNE, M. and SAIKKONEN, P. (2003) Modeling the U.S. short-term interest rate by mixture autoregressive processes. Journal of Financial Econometrics 1, 96-125.
    • (2003) Journal of Financial Econometrics , vol.1 , pp. 96-125
    • Lanne, M.1    Saikkonen, P.2
  • 29
    • 21144475085 scopus 로고
    • Consistent estimation of a mixing distribution
    • LEROUX, B. G. (1992) Consistent estimation of a mixing distribution. The Annals of Statistics 20, 1350-60.
    • (1992) The Annals of Statistics , vol.20 , pp. 1350-1360
    • Leroux, B.G.1
  • 30
    • 0005884541 scopus 로고    scopus 로고
    • On a logistic mixture autoregressive model
    • LI, W. K. and WONG, C. S. (2001) On a logistic mixture autoregressive model. Biometrika 88, 833-46.
    • (2001) Biometrika , vol.88 , pp. 833-846
    • Li, W.K.1    Wong, C.S.2
  • 31
    • 0038183179 scopus 로고    scopus 로고
    • Testing the number of components in a normal mixture
    • LO, Y., MENDELL, N. R. and RUBIN, D. B. (2001) Testing the number of components in a normal mixture. Biometrika 88, 767-78.
    • (2001) Biometrika , vol.88 , pp. 767-778
    • Lo, Y.1    Mendell, N.R.2    Rubin, D.B.3
  • 32
    • 0026050948 scopus 로고
    • The likelihood ratio test for the two components normal mixture problem: Power and sample size analysis
    • MENDELL, N. R., THODE, H. C. and FINCH, S. J. (1991) The likelihood ratio test for the two components normal mixture problem: power and sample size analysis. Biometrics 47, 1143-48.
    • (1991) Biometrics , vol.47 , pp. 1143-1148
    • Mendell, N.R.1    Thode, H.C.2    Finch, S.J.3
  • 33
    • 0001662579 scopus 로고
    • Maximum likelihood principle and model selection when the true model is unspecified
    • NISHII, R. (1988) Maximum likelihood principle and model selection when the true model is unspecified. Journal of Multivariate Analysis 27, 392-403.
    • (1988) Journal of Multivariate Analysis , vol.27 , pp. 392-403
    • Nishii, R.1
  • 34
    • 0000843831 scopus 로고
    • Relations between weak and uniform convergence of measures with applications
    • RAO, R. R. (1962) Relations between weak and uniform convergence of measures with applications. Annals of Mathematical Statistics 33, 659-80.
    • (1962) Annals of Mathematical Statistics , vol.33 , pp. 659-680
    • Rao, R.R.1
  • 35
    • 0000922853 scopus 로고
    • Note on the consistency of the maximum likelihood estimate for non-identifiable distributions
    • REDNER, R. (1981) Note on the consistency of the maximum likelihood estimate for non-identifiable distributions. Annals of Statistics 9, 225-39.
    • (1981) Annals of Statistics , vol.9 , pp. 225-239
    • Redner, R.1
  • 36
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • SCHWARZ, G. (1978) Estimating the dimension of a model. Annals of Statistics 6, 461-4.
    • (1978) Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 38
    • 0001308646 scopus 로고    scopus 로고
    • Information criteria for selecting possibly misspecified parametric models
    • SIN, C. Y. and WHITE, H. (1996) Information criteria for selecting possibly misspecified parametric models. Journal of Econometrics 71, 207-25.
    • (1996) Journal of Econometrics , vol.71 , pp. 207-225
    • Sin, C.Y.1    White, H.2
  • 39
    • 0001526671 scopus 로고
    • The Hartman-Winter law of the iterated logarithm for martingale
    • STOUT, W. F. (1970) The Hartman-Winter law of the iterated logarithm for martingale. The Annals of Mathematical Statistics 41, 2158-60.
    • (1970) The Annals of Mathematical Statistics , vol.41 , pp. 2158-2160
    • Stout, W.F.1
  • 40
    • 0001590528 scopus 로고
    • Non-linear time series and Markov chain
    • TJOSTHEIM, D. (1990) Non-linear time series and Markov chain. Advances in Applied Probability 22, 587-611.
    • (1990) Advances in Applied Probability , vol.22 , pp. 587-611
    • Tjostheim, D.1
  • 41
    • 0000646447 scopus 로고
    • Likelihood ratio tests for model selection and non-nested hypotheses
    • VUONG, H. Q. (1989) Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica 57, 307-33.
    • (1989) Econometrica , vol.57 , pp. 307-333
    • Vuong, H.Q.1
  • 42
    • 0002644952 scopus 로고
    • Maximum likelihood estimation of misspecified models
    • WHITE, H. (1982) Maximum likelihood estimation of misspecified models. Econometrica 50, 1-25.
    • (1982) Econometrica , vol.50 , pp. 1-25
    • White, H.1
  • 46
    • 70350103507 scopus 로고
    • Estimation and inference for dependent processes
    • (eds R. F. ENGLE and D. L. MCFADDEN). Amsterdam, Elsevier Science B.V
    • WOOLDRIDGE, J. M. (1994) Estimation and inference for dependent processes, In Handbook of Econometrics 4 (eds R. F. ENGLE and D. L. MCFADDEN). Amsterdam, Elsevier Science B.V, pp. 2641-7000.
    • (1994) Handbook of Econometrics , vol.4 , pp. 2641-7000
    • Wooldridge, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.