메뉴 건너뛰기




Volumn 7, Issue 2, 1997, Pages 473-496

A bootstrap variant of AIC for state-space model selection

Author keywords

Information theory; Kullback Leibler information; Time series

Indexed keywords


EID: 0031478161     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (73)

References (29)
  • 1
    • 84942737910 scopus 로고
    • Fitting autoregressive models for prediction
    • Akaike, H. (1969). Fitting autoregressive models for prediction. Ann. Inst. Statist. Math. 21, 243-247.
    • (1969) Ann. Inst. Statist. Math. , vol.21 , pp. 243-247
    • Akaike, H.1
  • 2
    • 0000501656 scopus 로고
    • Information theory and an extension of the maximum likelihood principle
    • (Edited by B. N. Petrov and F. Csáki), Akadémia Kiadó, Budapest
    • Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In 2nd International Symposium on Information Theory (Edited by B. N. Petrov and F. Csáki), 267-281. Akadémia Kiadó, Budapest.
    • (1973) 2nd International Symposium on Information Theory , pp. 267-281
    • Akaike, H.1
  • 3
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike, H. (1974). A new look at the statistical model identification. IEEE Trans. Automat. Control AC-19, 716-723.
    • (1974) IEEE Trans. Automat. Control , vol.AC-19 , pp. 716-723
    • Akaike, H.1
  • 4
    • 0002030625 scopus 로고
    • Time series analysis and control through parametric models
    • (Edited by D. F. Findley), Academic Press, New York
    • Akaike, H. (1978). Time series analysis and control through parametric models. In Applied Time Series Analysis (Edited by D. F. Findley), 1-23. Academic Press, New York.
    • (1978) Applied Time Series Analysis , pp. 1-23
    • Akaike, H.1
  • 6
    • 0011607743 scopus 로고
    • Ph.D. dissertation, University of California, Davis, Division of Statistics. (Printed by UMI Dissertation Services, Ann Arbor, MI.)
    • Cavanaugh, J. E. (1993). Small-sample model selection in the general state-space setting. Ph.D. dissertation, University of California, Davis, Division of Statistics. (Printed by UMI Dissertation Services, Ann Arbor, MI.)
    • (1993) Small-sample Model Selection in the General State-space Setting
    • Cavanaugh, J.E.1
  • 7
    • 84950461478 scopus 로고
    • Estimating the error rate of a prediction rule: Improvement on cross-validation
    • Efron, B. (1983). Estimating the error rate of a prediction rule: Improvement on cross-validation. J. Amer. Statist. Assoc. 78, 316-331.
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 316-331
    • Efron, B.1
  • 8
    • 80053264999 scopus 로고
    • How biased is the apparent error rate of a prediction rule?
    • Efron, B. (1986). How biased is the apparent error rate of a prediction rule? J. Amer. Statist. Assoc. 81, 461-470.
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 461-470
    • Efron, B.1
  • 10
    • 0000263475 scopus 로고
    • The determination of the order of an autoregression
    • Hannan, E. J. and Quinn, B. G. (1979). The determination of the order of an autoregression. J. Roy. Statist. Soc. Ser. B 41, 190-195.
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , pp. 190-195
    • Hannan, E.J.1    Quinn, B.G.2
  • 12
    • 77956887294 scopus 로고
    • Improved estimators of Kullback-Leibler information for autoregressive model selection in small samples
    • Hurvich, C. M., Shumway, R. H. and Tsai, C. L. (1990). Improved estimators of Kullback-Leibler information for autoregressive model selection in small samples. Biometrika 77, 709-719.
    • (1990) Biometrika , vol.77 , pp. 709-719
    • Hurvich, C.M.1    Shumway, R.H.2    Tsai, C.L.3
  • 13
    • 70349119250 scopus 로고
    • Regression and time series model selection in small samples
    • Hurvich, C. M. and Tsai, C. L. (1989). Regression and time series model selection in small samples. Biometrika 76, 297-307.
    • (1989) Biometrika , vol.76 , pp. 297-307
    • Hurvich, C.M.1    Tsai, C.L.2
  • 14
    • 0002825961 scopus 로고
    • Bias of the corrected AIC criterion for underfitted regression and time series models
    • Hurvich, C. M. and Tsai, C. L. (1991). Bias of the corrected AIC criterion for underfitted regression and time series models. Biometrika 78, 499-509.
    • (1991) Biometrika , vol.78 , pp. 499-509
    • Hurvich, C.M.1    Tsai, C.L.2
  • 15
    • 84981423152 scopus 로고
    • A corrected Akaike information criterion for vector autoregressive model selection
    • Hurvich, C. M. and Tsai, C. L. (1993). A corrected Akaike information criterion for vector autoregressive model selection. J. Time Ser. Anal. 14, 271-279.
    • (1993) J. Time Ser. Anal. , vol.14 , pp. 271-279
    • Hurvich, C.M.1    Tsai, C.L.2
  • 17
    • 0343537952 scopus 로고
    • Application of an estimator-free information criterion (WIC) to aperture synthesis imaging
    • (Edited by T. J. Cornwell and R. A. Perley), International Astronomical Union Coll. 131, Conference Series, 19, Astronomical Society of the Pacific, San Francisco
    • Ishiguro, M., Morita, K. I. and Ishiguro, M. (1991). Application of an estimator-free information criterion (WIC) to aperture synthesis imaging. In Radio Interferometry: Theory, Techniques, and Applications (Edited by T. J. Cornwell and R. A. Perley), International Astronomical Union Coll. 131, Conference Series, 19, 243-248. Astronomical Society of the Pacific, San Francisco.
    • (1991) Radio Interferometry: Theory, Techniques, and Applications , pp. 243-248
    • Ishiguro, M.1    Morita, K.I.2    Ishiguro, M.3
  • 18
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • Kaiman, R. E. (1960). A new approach to linear filtering and prediction problems. J. Basic Engineering, Transactions ASME 82, 35-45.
    • (1960) J. Basic Engineering, Transactions ASME , vol.82 , pp. 35-45
    • Kaiman, R.E.1
  • 21
    • 0018753407 scopus 로고
    • Asymptotic normality of prediction error estimators for approximate system models
    • Ljung, L. and Caines, P. E. (1979). Asymptotic normality of prediction error estimators for approximate system models. Stochastics 3, 29-46.
    • (1979) Stochastics , vol.3 , pp. 29-46
    • Ljung, L.1    Caines, P.E.2
  • 22
    • 0018015137 scopus 로고
    • Modeling by shortest data description
    • Rissanen, J. (1978). Modeling by shortest data description. Automatica 14, 465-471.
    • (1978) Automatica , vol.14 , pp. 465-471
    • Rissanen, J.1
  • 23
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G. (1978). Estimating the dimension of a model. Ann. Statist. 6, 461-464.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 24
    • 84939734910 scopus 로고
    • Evaluation of likelihood functions for Gaussian signals
    • Schweppe, F. (1965). Evaluation of likelihood functions for Gaussian signals. IEEE Trans. Inform. Theory 11, 61-70.
    • (1965) IEEE Trans. Inform. Theory , vol.11 , pp. 61-70
    • Schweppe, F.1
  • 25
    • 0031480481 scopus 로고    scopus 로고
    • Bootstrap estimate of Kullback-Leibler information for model selection
    • Shibata, R. (1997). Bootstrap estimate of Kullback-Leibler information for model selection. Statist. Sinica 7, 375-394.
    • (1997) Statist. Sinica , vol.7 , pp. 375-394
    • Shibata, R.1
  • 26
    • 84986753417 scopus 로고
    • An approach to time series smoothing and forecasting using the EM algorithm
    • Shumway, R. H. and Stoffer, D. S. (1982). An approach to time series smoothing and forecasting using the EM algorithm. J. Time Ser. Anal. 3, 253-264.
    • (1982) J. Time Ser. Anal. , vol.3 , pp. 253-264
    • Shumway, R.H.1    Stoffer, D.S.2
  • 28
    • 0011520418 scopus 로고
    • Bootstrapping state-space models: Gaussian maximum likelihood estimation and the Kaiman filter
    • Stoffer, D. S. and Wall, K. D. (1991). Bootstrapping state-space models: Gaussian maximum likelihood estimation and the Kaiman filter. J. Amer. Statis. Assoc. 86, 1024-1033.
    • (1991) J. Amer. Statis. Assoc. , vol.86 , pp. 1024-1033
    • Stoffer, D.S.1    Wall, K.D.2
  • 29
    • 84963178774 scopus 로고
    • Further analysis of the data by Akaike's information criterion and the finite corrections
    • Sugiura, N. (1978). Further analysis of the data by Akaike's information criterion and the finite corrections. Comm. Statist. A7, 13-26.
    • (1978) Comm. Statist. , vol.A7 , pp. 13-26
    • Sugiura, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.