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Volumn 75, Issue 2, 2000, Pages 163-183

Common principal components for dependent random vectors

Author keywords

Asymptotic distribution; Eigenvalue; Eigenvector; Entropy; Maximum likelihood estimation; Multivariate normal distribution; Patterned covariance matrices

Indexed keywords


EID: 0009534156     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.2000.1908     Document Type: Article
Times cited : (13)

References (24)
  • 1
    • 0001699986 scopus 로고
    • Asymptotic theory for principal component analysis
    • Anderson T. W. Asymptotic theory for principal component analysis. Ann. Math. Statist. 34:1963;122-148.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 122-148
    • Anderson, T.W.1
  • 2
    • 0344179804 scopus 로고
    • Analysis of additive dependencies and concurvities using smallest additive principal components
    • Donnell D. J., Buja A., Stuetzle W. Analysis of additive dependencies and concurvities using smallest additive principal components. Ann. Statist. 22:1994;1635-1673.
    • (1994) Ann. Statist. , vol.22 , pp. 1635-1673
    • Donnell, D.J.1    Buja, A.2    Stuetzle, W.3
  • 4
    • 0040548847 scopus 로고
    • Principal component models for patterned covariance matrices, with applications to canonical correlation analysis of several sets of variables
    • W. J. Krzanowski. Oxford: Oxford Science Publications
    • Flury B. D., Neuenschwander B. E. Principal component models for patterned covariance matrices, with applications to canonical correlation analysis of several sets of variables. Krzanowski W. J. Recent Advances in Descriptive Multivariate Analysis. 1995a;90-112 Oxford Science Publications, Oxford.
    • (1995) Recent Advances in Descriptive Multivariate Analysis , pp. 90-112
    • Flury, B.D.1    Neuenschwander, B.E.2
  • 5
    • 0005328303 scopus 로고
    • Simultaneous diagonalization algorithms with applications in multivariate statistics
    • R. V. M. Zahar. Basel: Birkhäuser
    • Flury B. D., Neuenschwander B. E. Simultaneous diagonalization algorithms with applications in multivariate statistics. Zahar R. V. M. Approximation and Computation. 1995b;179-205 Birkhäuser, Basel.
    • (1995) Approximation and Computation , pp. 179-205
    • Flury, B.D.1    Neuenschwander, B.E.2
  • 6
    • 38249011623 scopus 로고
    • Quadratic discriminant functions with constraints on the covariance matrices: Some asymptotic results
    • Flury B., Schmid M. J. Quadratic discriminant functions with constraints on the covariance matrices: Some asymptotic results. J. Multivariate Anal. 40:1992;244-261.
    • (1992) J. Multivariate Anal. , vol.40 , pp. 244-261
    • Flury, B.1    Schmid, M.J.2
  • 8
    • 0011778863 scopus 로고
    • Data analytic methods in multivariate statistical analysis
    • P. R. Krishnaiah. New York: Academic Press
    • Gnanadesikan R., Wilk M. B. Data analytic methods in multivariate statistical analysis. Krishnaiah P. R. Multivariate Analysis. 1969;593-638 Academic Press, New York.
    • (1969) Multivariate Analysis , pp. 593-638
    • Gnanadesikan, R.1    Wilk, M.B.2
  • 9
    • 0001373576 scopus 로고
    • Maximum entropy for hypothesis formulation, especially for multidimensional contingency tables
    • Good I. J. Maximum entropy for hypothesis formulation, especially for multidimensional contingency tables. Ann. Math. Statist. 34:1963;911-934.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 911-934
    • Good, I.J.1
  • 10
    • 84881435143 scopus 로고
    • Biased estimation in regression: An evaluation using mean squared error
    • Gunst R. F., Mason R. L. Biased estimation in regression: an evaluation using mean squared error. J. Amer. Statist. Assoc. 72:1977;616-628.
    • (1977) J. Amer. Statist. Assoc. , vol.72 , pp. 616-628
    • Gunst, R.F.1    Mason, R.L.2
  • 12
    • 84984281904 scopus 로고
    • Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics
    • Henderson H. V., Searle S. R. Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics. Canad. J. Statist. 7:1979;65-81.
    • (1979) Canad. J. Statist. , vol.7 , pp. 65-81
    • Henderson, H.V.1    Searle, S.R.2
  • 13
    • 58149421595 scopus 로고
    • Analysis of a complex of statistical variables into principal components
    • Hotelling H. Analysis of a complex of statistical variables into principal components. J. Educational Psych. 24:1933;417-441.
    • (1933) J. Educational Psych. , vol.24 , pp. 417-441
    • Hotelling, H.1
  • 14
    • 0040155851 scopus 로고    scopus 로고
    • Ontogeny and individual variation: Analysis of patterned covariance matrices with common principal components
    • Klingenberg C. P., Neuenschwander B. E., Flury B. D. Ontogeny and individual variation: Analysis of patterned covariance matrices with common principal components. Systematic Biol. 45:1996;135-150.
    • (1996) Systematic Biol. , vol.45 , pp. 135-150
    • Klingenberg, C.P.1    Neuenschwander, B.E.2    Flury, B.D.3
  • 15
    • 84950659640 scopus 로고
    • Between-groups comparision of principal components
    • Krzanowski W. J. Between-groups comparision of principal components. J. Amer. Statist. Assoc. 74:1979;703-707.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 703-707
    • Krzanowski, W.J.1
  • 18
    • 0043043398 scopus 로고
    • An analytic variable selection procedure for principal component regression
    • Mansfield E. R., Webster J. T., Gunst R. F. An analytic variable selection procedure for principal component regression. App. Statist. 26:1977;34-40.
    • (1977) App. Statist. , vol.26 , pp. 34-40
    • Mansfield, E.R.1    Webster, J.T.2    Gunst, R.F.3
  • 21
    • 0000325341 scopus 로고
    • On lines and planes of closest fit to systems of points in space
    • Pearson K. On lines and planes of closest fit to systems of points in space. Philos. Magazine Ser. 6. 2:1901;559-572.
    • (1901) Philos. Magazine Ser. 6 , vol.2 , pp. 559-572
    • Pearson, K.1
  • 23
    • 21844516918 scopus 로고
    • Principal points and self-consistent points of elliptical distributions
    • Tarpey T., Li L., Flury B. D. Principal points and self-consistent points of elliptical distributions. Ann Statist. 23:1995;103-112.
    • (1995) Ann Statist. , vol.23 , pp. 103-112
    • Tarpey, T.1    Li, L.2    Flury, B.D.3
  • 24
    • 33846255123 scopus 로고
    • Principal curves revisited
    • Tibshirani R. Principal curves revisited. Statist and Comput. 2:1992;183-190.
    • (1992) Statist and Comput. , vol.2 , pp. 183-190
    • Tibshirani, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.