Some contributions to sensitivity analysis in multivariate methods 多変量解析の感度分析へのいくつかの貢献

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Author

    • Eduard Castano Tostado エドワルド カスターニョ トスタド

Bibliographic Information

Title

Some contributions to sensitivity analysis in multivariate methods

Other Title

多変量解析の感度分析へのいくつかの貢献

Author

Eduard Castano Tostado

Author(Another name)

エドワルド カスターニョ トスタド

University

岡山大学

Types of degree

学術博士

Grant ID

甲第954号

Degree year

1991-03-28

Note and Description

博士論文

Table of Contents

  1. CONTENTS / p1 (0004.jp2)
  2. 1.INTRODUCTION / p1 (0006.jp2)
  3. 2.SENSITIVITY ANALYSIS IN CANONICAL CORRELATION MODELS FOR CONTINGENCY TABLES / p5 (0010.jp2)
  4. 2.1 Introduction / p5 (0010.jp2)
  5. 2.2 General procedure / p5 (0010.jp2)
  6. 2.3 Numerical example / p11 (0016.jp2)
  7. 2.4 Relation between rotations and almost equal canonical correlations / p18 (0023.jp2)
  8. 2.5 Discussion / p22 (0027.jp2)
  9. 3.QUADRATIC PERTURBATION EXPANSIONS OF CERTAIN FUNCTIONS OF EIGENVALUES AND EIGENVECTORS AND THEIR APPLICATION TO SENSITIVITY ANALYSIS IN MULTIVARIATE METHODS / p24 (0029.jp2)
  10. 3.1 Introduction / p24 (0029.jp2)
  11. 3.2 Perturbation expansions of eigenvalues and eigenvectors / p25 (0030.jp2)
  12. 3.3 Perturbation expansions of two functions of eigenvalues and eigenvectors / p26 (0031.jp2)
  13. 3.4 Application to sensitivity analysis in multivariate methods / p27 (0032.jp2)
  14. 3.5 Discussion / p39 (0044.jp2)
  15. 4.INFLUENCE BASED ON LINEAR EXPANSIONS:ITS DECOMPOSITION INTO A FINITE NUMBER OF COMPONENTS / p43 (0048.jp2)
  16. 4.1 Introduction / p43 (0048.jp2)
  17. 4.2 Decomposition of the influence function for the covariance matrix / p43 (0048.jp2)
  18. 4.3 Decomposition of influence functions related to multivariate methods / p44 (0049.jp2)
  19. 4.4 Efficient computation of empirical influence curves / p50 (0055.jp2)
  20. 4.5 Characterization of multivariate methods from the sensitivity perspective / p51 (0056.jp2)
  21. 4.6 Numerical study / p52 (0057.jp2)
  22. 4.7 Discussion / p54 (0059.jp2)
  23. 5.SENSITIVITY MEASURES OF INFLUENCE IN MULTIVARIATE METHODS / p57 (0062.jp2)
  24. 5.1 Introduction / p57 (0062.jp2)
  25. 5.2 Sensitivity measures of influence in principal component analysis / p57 (0062.jp2)
  26. 5.3 Sensitivity measures of influence in factor analysis / p60 (0065.jp2)
  27. 5.4 Discussion / p67 (0072.jp2)
  28. APPENDIX I / p69 (0074.jp2)
  29. APPENDIX II / p77 (0082.jp2)
  30. APPENDIX III / p82 (0087.jp2)
  31. BIBLIOGRAPHY / p84 (0089.jp2)
  32. ACKNOWLEDGEMENTS / p88 (0093.jp2)
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Codes

  • NII Article ID (NAID)
    500000074398
  • NII Author ID (NRID)
    • 8000000074595
  • DOI(NDL)
  • NDLBibID
    • 000000238712
  • Source
    • NDL ONLINE
    • NDL Digital Collections

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