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ON THE CORNISH-FISHER EXPANSION IN FINITE POPULATION

  • I. Traat
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© 2020 Walter de Gruyter GmbH, Berlin/Munich/Boston

© 2020 Walter de Gruyter GmbH, Berlin/Munich/Boston

Chapters in this book

  1. Frontmatter I
  2. CONTENTS V
  3. PREFACE IX
  4. I. ASYMPTOTIC DISTRIBUTIONS AND EXPANSIONS
  5. ERROR BOUNDS FOR ASYMPTOTIC EXPANSIONS OF THE DISTRIBUTIONS OF THE CLASSIFICATION STATISTIC W AND RELATED STATISTICS 3
  6. SOME RESULTS ON THE EMPIRICAL SPACINGS PROCESS AND ITS BOOTSTRAPPED VERSION 17
  7. ON THE CORNISH-FISHER EXPANSION IN FINITE POPULATION 35
  8. II. GENERAL LINEAR REGRESSION MODELS
  9. ON PROPORTIONALITY OF REGRESSION COEFFICIENTS IN MISSPECIFIED GENERAL LINEAR REGRESSION MODELS 45
  10. MORE ON PARTITIONED POSSIBLY RESTRICTED LINEAR REGRESSION 57
  11. SIMPLER TESTS OF LINEAR INEQUALITY CONSTRAINTS IN THE STANDARD LINEAR MODEL 67
  12. INCREASING THE CORRELATIONS WITH THE RESPONSE VARIABLE MAY NOT INCREASE THE COEFFICIENT OF DETERMINATION: A PCA INTERPRETATION 75
  13. DISCUSSION ON THE PAPER OF C. M. CUADRAS "INCREASING THE CORRELATIONS WITH THE RESPONSE VARIABLE MAY NOT INCREASE THE COEFFICIENT OF DETERMINATION: A PCA INTERPRETATION" 85
  14. TESTING LACK OF FIT IN MIXED EFFECT MODELS FOR LONGITUDINAL DATA 93
  15. III. TESTS IN MULTIVARIATE STATISTICS
  16. A PROJECTION NT-TYPE TEST FOR SPHERICAL SYMMETRY OF A MULTIVARIATE DISTRIBUTION 109
  17. SOME APPLICATIONS OF DIRECTIONAL STATISTICS TO ASTRONOMY 123
  18. SIMPLE METHODS FOR FITTING CIRCLES OR POINTS TO SPHERICAL DATA 135
  19. IV. MULTIVARIATE NONPARAMETRIC MODELS AND THEIR APPLICATIONS
  20. THE USE OF HELLINGER DISTANCE IN GRAPHICAL DISPLAYS OF CONTINGENCY TABLE DATA 143
  21. BIVARIATE GENERALIZATIONS OF THE MEDIAN 163
  22. DISTANCE-BASED REGRESSION IN SOME HELIOPHYSICAL DATA ANALYSIS 181
  23. SOME APPLICATIONS OF MULTIVARIATE ANALYSIS IN ENVIRONMENTAL RESEARCH 197
  24. METHODS FOR LONGITUDINAL SOCIAL NETWORK DATA: REVIEW AND MARKOV PROCESS MODELS 211
  25. OPTIMAL INDUSTRIAL CLASSIFICATION 229
  26. V. DISCRIMINATION AND CLASSIFICATION
  27. SMALL SAMPLE PROPERTIES OF RIDGE-ESTIMATE OF THE COVARIANCE MATRIX IN STATISTICAL AND NEURAL NET CLASSIFICATION 237
  28. TRIMMED k-MEANS AND THE CAUCHY MEAN-VALUE PROPERTY 247
  29. ON SOME PROPERTIES OF k-VARIANCE 267
  30. RANDOM MULTIGRAPHS, CLASSIFICATION AND CLUSTERING 279
  31. VI. MATRICES IN STATISTICS
  32. SHORTED MATRICES AND THEIR APPLICATIONS IN LINEAR STATISTICAL MODELS: A REVIEW 289
  33. ARRAYS OF MULTIVARIATE STATISTICS AND THEIR REPRESENTATION 313
  34. ON THE CALCULATIONS WITH THE INDEXIZED SETS OF DATA 325
  35. ON STATISTICAL APPLICATIONS OF MATRIX MAJORIZATION 335
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