메뉴 건너뛰기




Volumn 7, Issue 2, 1997, Pages 311-325

A consistent variable selection criterion for linear models with high-dimensional covariates

Author keywords

Autoregressive processes; Random covariates; t statistic

Indexed keywords


EID: 0031524613     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (31)
  • 1
    • 0002111717 scopus 로고
    • On the selection of regression variables
    • An, H. and Gu, L. (1985). On the selection of regression variables. ACTA Mathematicae Applicatae Sinica 2, 27-36.
    • (1985) ACTA Mathematicae Applicatae Sinica , vol.2 , pp. 27-36
    • An, H.1    Gu, L.2
  • 2
    • 0001903647 scopus 로고
    • Bootstrapping regression models with many parameters
    • (Edited by P. J. Bickel et al.), Wadsworth, Belmont, CA
    • Bickel, P. J. and Freedman, D. A. (1983). Bootstrapping regression models with many parameters. In A Festschrift for Erich L. Lehmann (Edited by P. J. Bickel et al.), 28-48. Wadsworth, Belmont, CA.
    • (1983) A Festschrift for Erich L. Lehmann , pp. 28-48
    • Bickel, P.J.1    Freedman, D.A.2
  • 4
    • 0001285844 scopus 로고
    • How many variables should be entered in a regression equation?
    • Breiman, L. and Freedman, D. (1983). How many variables should be entered in a regression equation? J. Amer. Statist. Assoc. 78, 131-136.
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 131-136
    • Breiman, L.1    Freedman, D.2
  • 5
    • 0000343716 scopus 로고
    • Submodel selection and evaluation in regression. the X-random case
    • Breiman, L. and Spector, P. (1992). Submodel selection and evaluation in regression. The X-random case. Internat. Statist. Rev. 60, 291-319.
    • (1992) Internat. Statist. Rev. , vol.60 , pp. 291-319
    • Breiman, L.1    Spector, P.2
  • 6
    • 0000354976 scopus 로고
    • A comparative study of ordinary cross-validation, v-fold cross-validation and the repeated learning-testing methods
    • Burman, P. (1989). A comparative study of ordinary cross-validation, v-fold cross-validation and the repeated learning-testing methods. Biometrika 76, 503-514.
    • (1989) Biometrika , vol.76 , pp. 503-514
    • Burman, P.1
  • 10
    • 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
  • 13
    • 0000302722 scopus 로고
    • The asymptotic theory of linear time-series models
    • Hannan, E. J. (1973). The asymptotic theory of linear time-series models. J. Appl. Probab. 10, 130-145.
    • (1973) J. Appl. Probab. , vol.10 , pp. 130-145
    • Hannan, E.J.1
  • 14
    • 0000068460 scopus 로고
    • The estimation of the order of an ARMA process
    • Hannan, E. J. (1980). The estimation of the order of an ARMA process. Ann. Statist. 8, 1071-1081.
    • (1980) Ann. Statist. , vol.8 , pp. 1071-1081
    • Hannan, E.J.1
  • 15
    • 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
  • 16
    • 0017280570 scopus 로고
    • The analysis and selection of variables in linear regression
    • Hocking, R. R. (1976). The analysis and selection of variables in linear regression. Biometrics 32, 1-49.
    • (1976) Biometrics , vol.32 , pp. 1-49
    • Hocking, R.R.1
  • 19
    • 21144477186 scopus 로고
    • Bootstrap and wild bootstrap for high dimensional linear models
    • Mammen, E. (1993). Bootstrap and wild bootstrap for high dimensional linear models. Ann. Statist. 21, 255-285.
    • (1993) Ann. Statist. , vol.21 , pp. 255-285
    • Mammen, E.1
  • 21
    • 0001225061 scopus 로고
    • Model selection under nonstationarity: Autoregressive models and stochastic linear regression models
    • Potscher, B. M. (1989). Model selection under nonstationarity: Autoregressive models and stochastic linear regression models. Ann. Statist. 17, 1257-1274.
    • (1989) Ann. Statist. , vol.17 , pp. 1257-1274
    • Potscher, B.M.1
  • 22
    • 0000318553 scopus 로고
    • Stochastic complexity and modeling
    • Rissanen, J. (1986). Stochastic complexity and modeling. Ann. Statist. 14, 1080-1100.
    • (1986) Ann. Statist. , vol.14 , pp. 1080-1100
    • Rissanen, J.1
  • 24
    • 21144474350 scopus 로고
    • Linear model selection by cross-validation
    • Shao, J. (1993). Linear model selection by cross-validation. J. Amer. Statist. Assoc. 88, 486-494.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 486-494
    • Shao, J.1
  • 25
    • 0002872575 scopus 로고
    • Approximate efficiency of a selection procedure for the number of regression variables
    • Shibata, R. (1984). Approximate efficiency of a selection procedure for the number of regression variables. Biometrika 71, 43-49.
    • (1984) Biometrika , vol.71 , pp. 43-49
    • Shibata, R.1
  • 26
    • 0002583992 scopus 로고
    • Selection of variables in multiple regression, Parts I and II
    • Thompson, M. L. (1978). Selection of variables in multiple regression, Parts I and II. Internat. Statist. Rev. 46, 1-19, 129-146.
    • (1978) Internat. Statist. Rev. , vol.46 , pp. 1-19
    • Thompson, M.L.1
  • 27
    • 0002914571 scopus 로고
    • On predictive least squares principles
    • Wei, C. Z. (1992). On predictive least squares principles. Ann. Statist. 20, 1-42.
    • (1992) Ann. Statist. , vol.20 , pp. 1-42
    • Wei, C.Z.1
  • 28
    • 0010491659 scopus 로고
    • On the distributional properties of model selection criteria
    • Zhang, P. (1992). On the distributional properties of model selection criteria. J. Amer. Statist. Assoc. 87, 732-737.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 732-737
    • Zhang, P.1
  • 29
    • 21144472438 scopus 로고
    • Model selection via multifold cross validation
    • Zhang, P. (1993). Model selection via multifold cross validation. Ann. Statist. 21, 299-313.
    • (1993) Ann. Statist. , vol.21 , pp. 299-313
    • Zhang, P.1
  • 31
    • 21844516868 scopus 로고
    • Consistent variable selection in linear models
    • Zheng, X. and Loh, W.-Y. (1995). Consistent variable selection in linear models. J. Amer. Statist. Assoc. 90, 151-156.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 151-156
    • Zheng, X.1    Loh, W.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.