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Statistics
A Journal of Theoretical and Applied Statistics
Volume 20, 1989 - Issue 2
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Original Articles

Pca stability studied by the bootstrap and the infinitesimal jackknife method

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Pages 255-270 | Received 01 Nov 1986, Published online: 05 Jul 2007

References

  • Beran , R. and Srivastava , M.S. 1985 . Bootstrap tests and confidence regions for functions of a covariance matrix . Ann. Statist. , 13 : 95 – 115 .
  • Bretagnolle , J. 1983 . Lois limites du bootstrap de certaines fonctionnelles . Annales de l′Institut Henri Poincare , 19 : 281 – 296 .
  • Daudin , J.J. , Duby , C. and Trecourt , P. 1988 . PCA stability studied studied by the bootstrap method . Statistics , 19 : 241 – 258 .
  • Efron , B. 1982 . The jackknife, the bootstrap and other resampling plans . Conference board of the Mathematical sciences Monograph , 38
  • Fisher , R.A. 1932 . Statistical method for research workers , Edinbourgh : Oliver and Boyd .
  • Fujikoshi , Y. 1980 . Asymptotic expansions for the distribution of the sample roots under nonnormality . Biometrika , 67 : 45 – 61 .
  • Waterniaux , C.M. 1976 . Asymptotic distribution of the sample roots for a nonnormal population . Biometrika , 63 : 345 – 369 .

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