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Volumn 90, Issue 1, 2000, Pages 35-55

Minimax estimation in linear regression under restrictions

Author keywords

Linear regression; Mallows' CL; Minimax estimation; Ridge regression; Shrinkage; Spline smoothing

Indexed keywords


EID: 0034259556     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(00)00101-4     Document Type: Article
Times cited : (19)

References (24)
  • 2
    • 0000868467 scopus 로고
    • Stein confidence sets and the bootstrap
    • Beran R. Stein confidence sets and the bootstrap. Statist. Sinica. 5:1995;109-127.
    • (1995) Statist. Sinica , vol.5 , pp. 109-127
    • Beran, R.1
  • 3
    • 84874257732 scopus 로고
    • Better subset regression using the nonnegative garotte
    • Breiman L. Better subset regression using the nonnegative garotte. Technometrics. 37:1995;373-384.
    • (1995) Technometrics , vol.37 , pp. 373-384
    • Breiman, L.1
  • 4
    • 0002939160 scopus 로고
    • A comparison of the Reinsch and Speckman splines
    • Carter C.K., Eagleson G.K., Silverman B.W. A comparison of the Reinsch and Speckman splines. Biometrika. 79:1992;81-91.
    • (1992) Biometrika , vol.79 , pp. 81-91
    • Carter, C.K.1    Eagleson, G.K.2    Silverman, B.W.3
  • 5
    • 84952149204 scopus 로고
    • A statistical view of some chemometrics regression tools (with discussion)
    • Frank I.E., Friedman J.H. A statistical view of some chemometrics regression tools (with discussion). Technometrics. 35:1993;109-148.
    • (1993) Technometrics , vol.35 , pp. 109-148
    • Frank, I.E.1    Friedman, J.H.2
  • 6
    • 0000630606 scopus 로고    scopus 로고
    • Multiple-shrinkage principal component regression
    • George E.I., Oman S.D. Multiple-shrinkage principal component regression. Statistician. 45:1996;111-124.
    • (1996) Statistician , vol.45 , pp. 111-124
    • George, E.I.1    Oman, S.D.2
  • 7
    • 32044449925 scopus 로고
    • Generalized cross-validation as a method for choosing a good ridge parameter
    • Golub G., Heath M., Wahba G. Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics. 21:1979;215-223.
    • (1979) Technometrics , vol.21 , pp. 215-223
    • Golub, G.1    Heath, M.2    Wahba, G.3
  • 9
    • 0002066050 scopus 로고
    • Minimax Bayes estimation in nonparametric regression
    • Heckman N.E., Woodroofe M. Minimax Bayes estimation in nonparametric regression. Ann. Statist. 19:1991;2003-2014.
    • (1991) Ann. Statist. , vol.19 , pp. 2003-2014
    • Heckman, N.E.1    Woodroofe, M.2
  • 10
    • 38249001793 scopus 로고
    • Linear Bayes and minimax estimation in linear models with partially restricted parameter space
    • Heiligers B. Linear Bayes and minimax estimation in linear models with partially restricted parameter space. J. Statist. Plann. Inference. 36:1993;175-184.
    • (1993) J. Statist. Plann. Inference , vol.36 , pp. 175-184
    • Heiligers, B.1
  • 11
    • 84942484786 scopus 로고
    • Ridge regression: Biased estimation for nonorthogonal problems
    • Hoerl A.E., Kennard R.W. Ridge regression: biased estimation for nonorthogonal problems. Technometrics. 12:1970;55-67.
    • (1970) Technometrics , vol.12 , pp. 55-67
    • Hoerl, A.E.1    Kennard, R.W.2
  • 12
    • 0002355623 scopus 로고
    • Characterization of minimax linear estimators in linear regression
    • Hoffmann K. Characterization of minimax linear estimators in linear regression. Math. Operationsforsch. Statist. Ser. Statist. 10:1979;19-26.
    • (1979) Math. Operationsforsch. Statist. Ser. Statist. , vol.10 , pp. 19-26
    • Hoffmann, K.1
  • 14
    • 21844488410 scopus 로고
    • Ordered linear smoothers
    • Kneip A. Ordered linear smoothers. Ann. Statist. 22:1994;835-866.
    • (1994) Ann. Statist. , vol.22 , pp. 835-866
    • Kneip, A.1
  • 15
    • 0000802996 scopus 로고
    • Minimaxity of the method of regularization on stochastic processes
    • Li K.-C. Minimaxity of the method of regularization on stochastic processes. Ann. Statist. 10:1982;937-942.
    • (1982) Ann. Statist. , vol.10 , pp. 937-942
    • Li, K.-C.1
  • 16
    • 0001182369 scopus 로고
    • L and generalized cross-validation in ridge regression with application to spline smoothing
    • L and generalized cross-validation in ridge regression with application to spline smoothing Ann. Statist. 14:1986;1101-1112.
    • (1986) Ann. Statist. , vol.14 , pp. 1101-1112
    • Li, K.-C.1
  • 18
    • 0000957593 scopus 로고
    • Principal component regression in explanatory statistical research
    • Massy W.F. Principal component regression in explanatory statistical research. J. Amer. Statist. Assoc. 60:1965;234-256.
    • (1965) J. Amer. Statist. Assoc. , vol.60 , pp. 234-256
    • Massy, W.F.1
  • 20
    • 0000056062 scopus 로고
    • Optimal filtration of square-integrable signals in Gaussian white noise
    • Pinsker M.S. Optimal filtration of square-integrable signals in Gaussian white noise. Problems Inform. Transmission. 16:1980;120-133.
    • (1980) Problems Inform. Transmission , vol.16 , pp. 120-133
    • Pinsker, M.S.1
  • 21
    • 38249043477 scopus 로고
    • Minimax linear regression estimation with symmetric parameter restrictions
    • Pilz J. Minimax linear regression estimation with symmetric parameter restrictions. J. Statist. Plann. Inference. 13:1986;297-318.
    • (1986) J. Statist. Plann. Inference , vol.13 , pp. 297-318
    • Pilz, J.1
  • 22
    • 84947361485 scopus 로고
    • Improved estimators for coefficients in linear regression
    • Sclove S.L. Improved estimators for coefficients in linear regression. J. Amer. Statist. Assoc. 63:1968;596-606.
    • (1968) J. Amer. Statist. Assoc. , vol.63 , pp. 596-606
    • Sclove, S.L.1
  • 23
    • 0000935894 scopus 로고
    • Spline smoothing and optimal rates of convergence in nonparametric regression models
    • Speckman P. Spline smoothing and optimal rates of convergence in nonparametric regression models. Ann. Statist. 13:1985;970-983.
    • (1985) Ann. Statist. , vol.13 , pp. 970-983
    • Speckman, P.1
  • 24
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • Tibshirani R. Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B. 58:1996;267-288.
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.58 , pp. 267-288
    • Tibshirani, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.