메뉴 건너뛰기




Volumn 75, Issue 5, 2013, Pages 851-877

Envelopes and partial least squares regression

Author keywords

Dimension reduction; Envelope models; Envelopes; Maximum likelihood estimation; Partial least squares; SIMPLS algorithm

Indexed keywords


EID: 84885836186     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/rssb.12018     Document Type: Article
Times cited : (113)

References (34)
  • 1
    • 33144473575 scopus 로고    scopus 로고
    • Fisher and regression
    • Aldrich, J. (2005) Fisher and regression. Statist. Sci., 20, 401-417.
    • (2005) Statist. Sci. , vol.20 , pp. 401-417
    • Aldrich, J.1
  • 2
    • 41549106844 scopus 로고    scopus 로고
    • Regularized estimation of large covariance matrices
    • Bickel, P. and Levina, E. (2008) Regularized estimation of large covariance matrices. Ann. Statist., 36, 199-227.
    • (2008) Ann. Statist. , vol.36 , pp. 199-227
    • Bickel, P.1    Levina, E.2
  • 3
    • 33846515112 scopus 로고    scopus 로고
    • Partial least squares: a versatile tool for the analysis of high-dimensional genomic data
    • Boulesteix, A.-L. and Strimmer, K. (2006) Partial least squares: a versatile tool for the analysis of high-dimensional genomic data. Brief. Bioinform., 7, 32-44.
    • (2006) Brief. Bioinform. , vol.7 , pp. 32-44
    • Boulesteix, A.-L.1    Strimmer, K.2
  • 4
    • 74049093630 scopus 로고    scopus 로고
    • Sparse partial least squares regression for simultaneous dimension reduction and variable selection
    • Chun, H. and Keleş, S. (2010) Sparse partial least squares regression for simultaneous dimension reduction and variable selection. J. R. Statist. Soc. B, 72, 3-25.
    • (2010) J. R. Statist. Soc. B , vol.72 , pp. 3-25
    • Chun, H.1    Keleş, S.2
  • 7
    • 34548529252 scopus 로고    scopus 로고
    • Dimension reduction in regression without matrix inversion
    • Cook, R. D., Li, B. and Chiaromonte, F. (2007) Dimension reduction in regression without matrix inversion. Biometrika, 94, 569-584.
    • (2007) Biometrika , vol.94 , pp. 569-584
    • Cook, R.D.1    Li, B.2    Chiaromonte, F.3
  • 8
    • 78349232766 scopus 로고    scopus 로고
    • Envelope models for parsimonious and efficient multivariate regression (with discussion)
    • Cook, R. D., Li, B. and Chiaromonte, F. (2010) Envelope models for parsimonious and efficient multivariate regression (with discussion). Statist. Sin., 20, 927-1010.
    • (2010) Statist. Sin. , vol.20 , pp. 927-1010
    • Cook, R.D.1    Li, B.2    Chiaromonte, F.3
  • 9
    • 84858298016 scopus 로고    scopus 로고
    • Achieving near perfect classification for functional data
    • Delaigle, A. and Hall, P. (2012) Achieving near perfect classification for functional data. J. R. Statist. Soc. B, 74, 267-286.
    • (2012) J. R. Statist. Soc. B , vol.74 , pp. 267-286
    • Delaigle, A.1    Hall, P.2
  • 10
    • 0032216898 scopus 로고    scopus 로고
    • The geometry of algorithms with orthogonality constraints
    • Edelman, A., Tomás, A. A. and Smith, S. T. (1998) The geometry of algorithms with orthogonality constraints. SIAM J. Matrix Anal. Applic., 20, 303-353.
    • (1998) SIAM J. Matrix Anal. Applic. , vol.20 , pp. 303-353
    • Edelman, A.1    Tomás, A.A.2    Smith, S.T.3
  • 11
    • 84952149204 scopus 로고
    • A statistical view of some chemometrics regression tools (with discussion)
    • Frank, I. E. and Friedman, J. H. (1993) A statistical view of some chemometrics regression tools (with discussion). Technometrics, 35, 109-148.
    • (1993) Technometrics , vol.35 , pp. 109-148
    • Frank, I.E.1    Friedman, J.H.2
  • 12
    • 84946280337 scopus 로고
    • On the structure of partial least squares regression
    • Helland, I. S. (1988) On the structure of partial least squares regression. Communs Statist. Simuln Computn, 17, 581-607.
    • (1988) Communs Statist. Simuln Computn , vol.17 , pp. 581-607
    • Helland, I.S.1
  • 13
    • 0000656711 scopus 로고
    • Partial least squares regression and statistical models
    • Helland, I. S. (1990) Partial least squares regression and statistical models. Scand. J. Statist., 17, 97-114.
    • (1990) Scand. J. Statist. , vol.17 , pp. 97-114
    • Helland, I.S.1
  • 14
    • 0000190677 scopus 로고
    • Maximum likelihood regression on relevant components
    • Helland, I. S. (1992) Maximum likelihood regression on relevant components. J. R. Statist. Soc. B, 54, 637-647.
    • (1992) J. R. Statist. Soc. B , vol.54 , pp. 637-647
    • Helland, I.S.1
  • 15
    • 0035965460 scopus 로고    scopus 로고
    • Some theoretical aspects of partial least squares regression
    • Helland, I. S. (2001) Some theoretical aspects of partial least squares regression. Chemometr. Intell. Lab. Syst., 58, 97-107.
    • (2001) Chemometr. Intell. Lab. Syst. , vol.58 , pp. 97-107
    • Helland, I.S.1
  • 17
    • 84885852576 scopus 로고    scopus 로고
    • A unified scientific basis for inference
    • University of Olso, Oslo.
    • Helland, I. S. (2012) A unified scientific basis for inference. Preprint arXiv:1206.5075. University of Olso, Oslo.
    • (2012) Preprint arXiv:1206.5075
    • Helland, I.S.1
  • 18
    • 84885857398 scopus 로고    scopus 로고
    • A basis for statistical theory and quantum theory
    • (ed. P. Bracken). Rijeka: InTech.
    • Helland, I. S. (2013) A basis for statistical theory and quantum theory. In Advances in Quantum Mechanics (ed. P. Bracken ). Rijeka: InTech.
    • (2013) Advances in Quantum Mechanics
    • Helland, I.S.1
  • 19
    • 84870067056 scopus 로고    scopus 로고
    • Near optimal prediction from relevant components
    • Helland, I. S., Sæbø, S. and Tjelmeland, H. (2012) Near optimal prediction from relevant components. Scand. J. Statist. 39, 695-713.
    • (2012) Scand. J. Statist , vol.39 , pp. 695-713
    • Helland, I.S.1    Sæbø, S.2    Tjelmeland, H.3
  • 20
    • 0027530250 scopus 로고
    • SIMPLS: an alternative approach to partial least squares regression
    • de Jong, S. (1993) SIMPLS: an alternative approach to partial least squares regression. Chemometr. Intell. Lab. Syst., 18, 251-263.
    • (1993) Chemometr. Intell. Lab. Syst. , vol.18 , pp. 251-263
    • de Jong, S.1
  • 21
    • 62349114549 scopus 로고    scopus 로고
    • Sparse estimation of large covariance matrices via a nested Lasso penalty
    • Levina, E., Rothman, A. J. and Zhu, J. (2008) Sparse estimation of large covariance matrices via a nested Lasso penalty. Ann. Appl. Statist., 2, 245-263.
    • (2008) Ann. Appl. Statist. , vol.2 , pp. 245-263
    • Levina, E.1    Rothman, A.J.2    Zhu, J.3
  • 24
    • 27644451742 scopus 로고    scopus 로고
    • The prediction error in cls and pls: the importance of feature selection prior to multivariate calibration
    • Nadler, B. and Coifman, R. R. (2005) The prediction error in cls and pls: the importance of feature selection prior to multivariate calibration. J. Chemometr., 19, 107-118.
    • (2005) J. Chemometr. , vol.19 , pp. 107-118
    • Nadler, B.1    Coifman, R.R.2
  • 25
    • 0001762047 scopus 로고
    • Relevant components in regression
    • Næs, T. and Helland, I. S. (1993) Relevant components in regression. Scand. J. Statist., 20, 239-250.
    • (1993) Scand. J. Statist. , vol.20 , pp. 239-250
    • Næs, T.1    Helland, I.S.2
  • 26
    • 0002510018 scopus 로고
    • Moments for the inverted Wishart distribution
    • von Rosen, D. (1988) Moments for the inverted Wishart distribution. Scand. J. Statist., 15, 97-109.
    • (1988) Scand. J. Statist. , vol.15 , pp. 97-109
    • von Rosen, D.1
  • 28
    • 53649086225 scopus 로고    scopus 로고
    • ST-PLS: a multi-directional nearest shrunken centroid classifier via PLS
    • Sæbø, S., Almøy, T. and Aaastveit, A. (2007) ST-PLS: a multi-directional nearest shrunken centroid classifier via PLS. J. Chemometr., 22, 54-62.
    • (2007) J. Chemometr. , vol.22 , pp. 54-62
    • Sæbø, S.1    Almøy, T.2    Aaastveit, A.3
  • 29
    • 0012487730 scopus 로고
    • Asymptotic theory of overparameterized structural models
    • Shapiro, A. (1986) Asymptotic theory of overparameterized structural models. J. Am. Statist. Ass., 81, 142-149.
    • (1986) J. Am. Statist. Ass. , vol.81 , pp. 142-149
    • Shapiro, A.1
  • 30
    • 0043262965 scopus 로고    scopus 로고
    • Eliminating multiple root problems in estimation
    • Small, C. G., Wang, J. and Yang, Z. (2000) Eliminating multiple root problems in estimation. Statist. Sci., 15, 313-341.
    • (2000) Statist. Sci. , vol.15 , pp. 313-341
    • Small, C.G.1    Wang, J.2    Yang, Z.3
  • 31
    • 79952167560 scopus 로고    scopus 로고
    • Partial envelopes for efficient estimation in multivariate linear regression
    • Su, Z. and Cook, R. D. (2011) Partial envelopes for efficient estimation in multivariate linear regression. Biometrika, 98, 133-146.
    • (2011) Biometrika , vol.98 , pp. 133-146
    • Su, Z.1    Cook, R.D.2
  • 32
    • 84865477855 scopus 로고    scopus 로고
    • Inner envelopes: efficient estimation in multivariate linear regression
    • Su, Z. and Cook, R. D. (2012) Inner envelopes: efficient estimation in multivariate linear regression. Biometrika, 99, 687-702.
    • (2012) Biometrika , vol.99 , pp. 687-702
    • Su, Z.1    Cook, R.D.2
  • 33
    • 84884256734 scopus 로고    scopus 로고
    • Estimation of multivariate means with heteroscedastic errors using envelope models
    • Su, Z. and Cook, R. D. (2013) Estimation of multivariate means with heteroscedastic errors using envelope models. Statist. Sin., 23, 213-230.
    • (2013) Statist. Sin. , vol.23 , pp. 213-230
    • Su, Z.1    Cook, R.D.2
  • 34
    • 0001098205 scopus 로고
    • Estimation of principal components and related methods by iterative least squares
    • (ed. P. R. Krishnaiah). New York: Academic Press
    • Wold, H. (1966) Estimation of principal components and related methods by iterative least squares. In Multivariate Analysis (ed. P. R. Krishnaiah ). New York: Academic Press.
    • (1966) Multivariate Analysis
    • Wold, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.