메뉴 건너뛰기




Volumn 94, Issue 446, 1999, Pages 456-467

Self-Consistency and Principal Component Analysis

Author keywords

Bootstrap; Elliptical distribution; Principal curve; Principal point; Self consistent point; Spherical distribution; Symmetric distribution; means clustering

Indexed keywords


EID: 1542532753     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1999.10474140     Document Type: Article
Times cited : (18)

References (37)
  • 1
    • 0020827899 scopus 로고
    • A simple class of asymptotically optimal quantizers
    • Cambanis, S., and Gerr, N. (1983), “A Simple Class of Asymptotically Optimal Quantizers,” IEEE Transactions on Information Theory, IT. 29, 664-676.
    • (1983) IEEE Transactions on Information Theory , vol.29 , pp. 664-676
    • Cambanis, S.1    Gerr, N.2
  • 3
    • 0001493668 scopus 로고
    • Asymptotics of graphical projection pursuit
    • Diaconis, P., and Freedman, D. (1984), “Asymptotics of Graphical Projection Pursuit,” The Annals of Statistics, 12, 793-815.
    • (1984) The Annals of Statistics , vol.12 , pp. 793-815
    • Diaconis, P.1    Freedman, D.2
  • 4
    • 0030371910 scopus 로고    scopus 로고
    • Extremal properties of principal curves in the plane
    • Duchamp, T. and Stuetzle, W. (1996), “Extremal Properties of Principal Curves in the Plane,” The Annals of Statistics, 24, 1511-1520.
    • (1996) The Annals of Statistics , vol.24 , pp. 1511-1520
    • Duchamp, T.1    Stuetzle, W.2
  • 9
    • 78751701140 scopus 로고
    • Principal points
    • Flury, B. (1990), “Principal Points,” Biometrika, 77, 33-41.
    • (1990) Biometrika , vol.77 , pp. 33-41
    • Flury, B.1
  • 10
    • 21144467299 scopus 로고
    • Estimation of principal points
    • Flury, B. (1993), “Estimation of Principal Points,” Applied Statistics, 42, 139-151.
    • (1993) Applied Statistics , vol.42 , pp. 139-151
    • Flury, B.1
  • 11
    • 0002685473 scopus 로고
    • Dimensional relationships for flying animals
    • Greenwalt, C. (1962), “Dimensional Relationships for Flying Animals,” Smithsonian Miscellaneous Collections, 144(2), 1-46.
    • (1962) Smithsonian Miscellaneous Collections , vol.144 , Issue.2 , pp. 1-46
    • Greenwalt, C.1
  • 12
    • 0025815687 scopus 로고
    • Two guidelines for bootstrap hypothesis testing
    • Hall, P., and Wilson, S. R. (1991), ‘Two Guidelines for Bootstrap Hypothesis Testing,” Biometrics, 47, 757-762.
    • (1991) Biometrics , vol.47 , pp. 757-762
    • Hall, P.1    Wilson, S.R.2
  • 16
    • 0344591370 scopus 로고
    • Allometry
    • S. Kotz and N. L. Johnson, New York: Wiley
    • Hills, M. (1982), “Allometry,” in Encyclopedia of Statistical Sciences, eds. S. Kotz and N. L. Johnson, New York: Wiley, pp. 48-54.
    • (1982) Encyclopedia of Statistical Sciences , pp. 48-54
    • Hills, M.1
  • 18
    • 0000687996 scopus 로고
    • The multivariate generalization of the allometry equation
    • Jolicoeur, P. (1963), “The Multivariate Generalization of the Allometry Equation,” Biometrics, 19, 497-499.
    • (1963) Biometrics , vol.19 , pp. 497-499
    • Jolicoeur, P.1
  • 20
    • 0031536236 scopus 로고    scopus 로고
    • Nonlinear confounding in high-dimensional regression
    • Li, K-C. (1997), “Nonlinear Confounding in High-Dimensional Regression,” The Annals of Statistics, 25, 577-612.
    • (1997) The Annals of Statistics , vol.25 , pp. 577-612
    • Li, K.-C.1
  • 21
    • 0001113081 scopus 로고
    • Uniqueness of principal points for univariate distributions
    • Li, L., and Flury, B. (1995), “Uniqueness of Principal Points for Univariate Distributions,” Statistics & Probability Letters, 25, 323-327.
    • (1995) Statistics & Probability Letters , vol.25 , pp. 323-327
    • Li, L.1    Flury, B.2
  • 22
    • 0004029505 scopus 로고
    • Philadelphia, PA: Society for Industrial and Applied Mathematics
    • Lighthill, J. (1975), Mathematical Biofluiddynamics, Philadelphia, PA: Society for Industrial and Applied Mathematics.
    • (1975) Mathematical Biofluiddynamics
    • Lighthill, J.1
  • 27
    • 0000325341 scopus 로고
    • On lines and planes of closest fit to systems of points in space
    • Pearson, K. (1901), “On Lines and Planes of Closest Fit to Systems of Points in Space,” Philosophical Magazine, 2, 559-572.
    • (1901) Philosophical Magazine , vol.2 , pp. 559-572
    • Pearson, K.1
  • 28
    • 0008569093 scopus 로고
    • An asymptotic result on principal points for univariate distributions
    • Potzelberger, K., and Felsenstein, K. (1994), “An Asymptotic Result on Principal Points for Univariate Distributions,” Optimization, 28, 397-406.
    • (1994) Optimization , vol.28 , pp. 397-406
    • Potzelberger, K.1    Felsenstein, K.2
  • 29
    • 0000963889 scopus 로고
    • Strong consistency of at-means clustering
    • Pollard, D. (1981), “Strong Consistency of AT-Means Clustering,” The Annals of Statistics, 9, 135-140.
    • (1981) The Annals of Statistics , vol.9 , pp. 135-140
    • Pollard, D.1
  • 30
    • 0003158091 scopus 로고    scopus 로고
    • On asymptotics of quantizers in two dimensions
    • Su, Y. (1997), “On Asymptotics of Quantizers in Two Dimensions,” Journal of Multivariate Analysis, 61, 67-85.
    • (1997) Journal of Multivariate Analysis , vol.61 , pp. 67-85
    • Su, Y.1
  • 31
    • 0008536145 scopus 로고
    • Principal points and self-consistent points of symmetric multivariate distributions
    • Tarpey, T. (1995), “Principal Points and Self-Consistent Points of Symmetric Multivariate Distributions,” Journal of Multivariate Analysis, 52, 39-51.
    • (1995) Journal of Multivariate Analysis , vol.52 , pp. 39-51
    • Tarpey, T.1
  • 32
    • 0031428827 scopus 로고    scopus 로고
    • Estimating principal points of univariate distributions
    • Tarpey, T. (1997), “Estimating Principal Points of Univariate Distributions,” Journal of Applied Statistics, 24, 499-512.
    • (1997) Journal of Applied Statistics , vol.24 , pp. 499-512
    • Tarpey, T.1
  • 33
    • 0041169479 scopus 로고    scopus 로고
    • Self-consistent patterns for symmetric multivariate distributions
    • Tarpey, T. (1998), “Self-Consistent Patterns for Symmetric Multivariate Distributions,” Journal of Classification, 15, 57-79.
    • (1998) Journal of Classification , vol.15 , pp. 57-79
    • Tarpey, T.1
  • 34
    • 0001645194 scopus 로고    scopus 로고
    • Self-consistency: A fundamental concept in statistics
    • Tarpey, T. and Flury, B. (1996), “Self-Consistency: A Fundamental Concept in Statistics,” Statistical Science, 11, 229-243.
    • (1996) Statistical Science , vol.11 , pp. 229-243
    • Tarpey, T.1    Flury, B.2
  • 35
    • 21844516918 scopus 로고
    • Principal points and self- consistent points of elliptical distributions
    • Tarpey, T. Li, L., and Flury, B. (1995), “Principal Points and Self- Consistent Points of Elliptical Distributions,” The Annals of Statistics, 23, 103-112.
    • (1995) The Annals of Statistics , vol.23 , pp. 103-112
    • Tarpey, T.1    Li, L.2    Flury, B.3
  • 37
    • 33846255123 scopus 로고
    • Principal curves revisited
    • Tibshirani, R. (1992), “Principal Curves Revisited,” Statistics and Computing, 2, 183-190.
    • (1992) Statistics and Computing , vol.2 , pp. 183-190
    • Tibshirani, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.