메뉴 건너뛰기




Volumn 70, Issue 2, 1999, Pages 221-249

On the Underfitting and Overfitting Sets of Models Chosen by Order Selection Criteria

Author keywords

AIC; BIC; Markov fields; Model selection; Regressions and autoregressions; Stable law; Strong consistency; Underfitting and overfitting; Weak consistency

Indexed keywords


EID: 0033174020     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1999.1828     Document Type: Article
Times cited : (32)

References (32)
  • 1
    • 84942737910 scopus 로고
    • Fitting autoregressive models for prediction
    • Akaike H. Fitting autoregressive models for prediction. Ann. Inst. Statist. Math. 21:1969;243-247.
    • (1969) Ann. Inst. Statist. Math. , vol.21 , pp. 243-247
    • Akaike, H.1
  • 2
    • 38249027607 scopus 로고
    • On determination of the order of an Autoregressive Model
    • Bai Z. D., Subramanyan K., Zhao L. C. On determination of the order of an Autoregressive Model. J. Multivariate Anal. 27:1988;40-52.
    • (1988) J. Multivariate Anal. , vol.27 , pp. 40-52
    • Bai, Z.D.1    Subramanyan, K.2    Zhao, L.C.3
  • 4
    • 0024628423 scopus 로고
    • On rates of convergence of efficient detection criteria in signal processing with white noise
    • Bai Z. D., Krishnaiah P. R., Zhao L. C. On rates of convergence of efficient detection criteria in signal processing with white noise. IEEE Trans. Inform. Theory. 35:1989;380-388.
    • (1989) IEEE Trans. Inform. Theory , vol.35 , pp. 380-388
    • Bai, Z.D.1    Krishnaiah, P.R.2    Zhao, L.C.3
  • 5
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of lattice systems
    • Besag J. Spatial interaction and the statistical analysis of lattice systems. J. Roy. Statist. Soc. Ser. B. 36:1974;192-236.
    • (1974) J. Roy. Statist. Soc. Ser. B , vol.36 , pp. 192-236
    • Besag, J.1
  • 6
    • 0003117761 scopus 로고
    • Consistent order determination for processes with infinite variance
    • Bhansali R. J. Consistent order determination for processes with infinite variance. J. Roy. Statist. Soc. Ser. B. 50:1988;46-60.
    • (1988) J. Roy. Statist. Soc. Ser. B , vol.50 , pp. 46-60
    • Bhansali, R.J.1
  • 7
    • 0000074862 scopus 로고
    • Limit theory for the sample covariance and correlation functions of moving averages
    • Davis R., Resnick S. Limit theory for the sample covariance and correlation functions of moving averages. Ann. Statist. 14:1986;533-558.
    • (1986) Ann. Statist. , vol.14 , pp. 533-558
    • Davis, R.1    Resnick, S.2
  • 8
    • 0002199090 scopus 로고
    • Markov random fields image models and their applications to computer vision
    • (M. Gleason, Ed.). Amer. Math. Soc., Providence
    • Geman S., Graffigne C. Markov random fields image models and their applications to computer vision. Gleason M., Proc. Int. Congrs Math. Amer. Math. Soc. 1986;Providence.
    • (1986) Proc. Int. Congrs Math.
    • Geman, S.1    Graffigne, C.2
  • 9
    • 0003067505 scopus 로고
    • Estimating regression models of finite but unknown order
    • Geweke J., Meese R. Estimating regression models of finite but unknown order. Internat. Econom. Rev. 22:1981;55-70.
    • (1981) Internat. Econom. Rev. , vol.22 , pp. 55-70
    • Geweke, J.1    Meese, R.2
  • 11
    • 0008991320 scopus 로고
    • The Chi-square coding test for nested Markov random fields hypotheses
    • New York/Berlin: Springer-Verlag. p. 165-176
    • Guyon X., Hardouin C. The Chi-square coding test for nested Markov random fields hypotheses. Lecture Notes in Math. 1992;Springer-Verlag, New York/Berlin. p. 165-176.
    • (1992) Lecture Notes in Math.
    • Guyon, X.1    Hardouin, C.2
  • 12
    • 0000068460 scopus 로고
    • The estimation of the order of an ARMA process
    • Hannan E. J. The estimation of the order of an ARMA process. Ann. Statist. 8:1980;1071-1081.
    • (1980) Ann. Statist. , vol.8 , pp. 1071-1081
    • Hannan, E.J.1
  • 13
    • 0009028736 scopus 로고
    • Estimating the dimension of a linear system
    • Hannan E. J. Estimating the dimension of a linear system. J. Multivariate Anal. 11:1981;459-473.
    • (1981) J. Multivariate Anal. , vol.11 , pp. 459-473
    • Hannan, E.J.1
  • 14
    • 0000648298 scopus 로고
    • Autoregressive processes with infinite variance
    • Hannan E. J., Kanter M. Autoregressive processes with infinite variance. J. Appl. Probab. 14:1977;411-415.
    • (1977) J. Appl. Probab. , vol.14 , pp. 411-415
    • Hannan, E.J.1    Kanter, M.2
  • 16
    • 84947403595 scopus 로고
    • Probability inequality for sums of bounded random variables
    • Hoeffding W. Probability inequality for sums of bounded random variables. J. Amer. Statist. Assoc. 58:1963;12-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 12-30
    • Hoeffding, W.1
  • 18
    • 0001524152 scopus 로고
    • Consistency of Akaike's information criterion for infinite variance autoregressive processes
    • Knight K. Consistency of Akaike's information criterion for infinite variance autoregressive processes. Ann. Statist. 17:1989;824-840.
    • (1989) Ann. Statist. , vol.17 , pp. 824-840
    • Knight, K.1
  • 19
    • 21844492815 scopus 로고
    • Parameter estimation for ARMA models with infinite variance innovations
    • Mikosch T., Gadrich T., Klüppelberg C., Adler R. Parameter estimation for ARMA models with infinite variance innovations. Ann. Statist. 1995;305-326.
    • (1995) Ann. Statist. , pp. 305-326
    • Mikosch, T.1    Gadrich, T.2    Klüppelberg, C.3    Adler, R.4
  • 20
    • 84986753376 scopus 로고
    • Order determination of multivariate autoregressive time series with unit roots
    • Paulsen J. Order determination of multivariate autoregressive time series with unit roots. J. Time Ser. Anal. 5:1984;115-127.
    • (1984) J. Time Ser. Anal. , vol.5 , pp. 115-127
    • Paulsen, J.1
  • 22
    • 0001225061 scopus 로고
    • Model selection under nonstationarity: Autoregressive models and stochastic linear regression models
    • Pötscher B. M. Model selection under nonstationarity: Autoregressive models and stochastic linear regression models. Ann. Statist. 17:1989;1257-1274.
    • (1989) Ann. Statist. , vol.17 , pp. 1257-1274
    • Pötscher, B.M.1
  • 23
    • 84971922834 scopus 로고
    • Non invertibility and pseudo-maximum likelihood estimation of misspecified ARMA models
    • Pötscher B. M. Non invertibility and pseudo-maximum likelihood estimation of misspecified ARMA models. Econometric Theory. 7:1991;435-449.
    • (1991) Econometric Theory , vol.7 , pp. 435-449
    • Pötscher, B.M.1
  • 24
    • 0001192784 scopus 로고
    • Order determination for a multivariate autoregression
    • Quinn B. G. Order determination for a multivariate autoregression. J. Roy. Statist. Soc. Ser. B. 42:1980;182-185.
    • (1980) J. Roy. Statist. Soc. Ser. B , vol.42 , pp. 182-185
    • Quinn, B.G.1
  • 26
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz G. Estimating the dimension of a model. Ann. Statist. 6:1978;461-464.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 27
    • 0002752653 scopus 로고
    • Statistique asymptotique presque-sûre des modèles statistiques convexes
    • Senoussi R. Statistique asymptotique presque-sûre des modèles statistiques convexes. Ann. Inst. Henri Poincaré 26:1990;19-44.
    • (1990) Ann. Inst. Henri Poincaré , vol.26 , pp. 19-44
    • Senoussi, R.1
  • 28
    • 85027186089 scopus 로고
    • Selection of the order of an autoregressive model by Akaike's information criterion
    • Shibata R. Selection of the order of an autoregressive model by Akaike's information criterion. Biometrika. 63:1976;117-126.
    • (1976) Biometrika , vol.63 , pp. 117-126
    • Shibata, R.1
  • 29
    • 0000323749 scopus 로고
    • Order selection in nonstationary autoregressive models
    • Tsay R. S. Order selection in nonstationary autoregressive models. Ann. Statist. 12:1984;1425-1433.
    • (1984) Ann. Statist. , vol.12 , pp. 1425-1433
    • Tsay, R.S.1
  • 30
    • 0001760833 scopus 로고
    • On stationary processes in the plane
    • Whittle P. On stationary processes in the plane. Biometrika. 41:1954;434-449.
    • (1954) Biometrika , vol.41 , pp. 434-449
    • Whittle, P.1
  • 31
    • 0000399672 scopus 로고
    • On the convergence rate of model selection criteria
    • Zhang P. On the convergence rate of model selection criteria. Comm. Statist. Theory Methods. 22:1993;2675-2775.
    • (1993) Comm. Statist. Theory Methods , vol.22 , pp. 2675-2775
    • Zhang, P.1
  • 32
    • 46149130406 scopus 로고
    • On detection of the number of signals when the noise covariance matrix is arbitrary
    • Zhao L. C., Krishnaiah P. R., Bai Z. D. On detection of the number of signals when the noise covariance matrix is arbitrary. J. Multivariate Anal. 20:1986;26-49.
    • (1986) J. Multivariate Anal. , vol.20 , pp. 26-49
    • Zhao, L.C.1    Krishnaiah, P.R.2    Bai, Z.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.