Multivariate Statistics and Matrices in Statistics (PDF)

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