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