TY  - BOOK
AU  - Rao, C. Radhakrishna
TI  - Linear statistical inference and its applications
T2  - Wiley series in probability and mathematical statistics
SN  - 0471218758
AV  - QA276 .R36 2002
U1  - 519.1 
PY  - 2002///
CY  - New York
PB  - Wiley
KW  - Mathematical statistics
N1  - "A Wiley-Interscience publication."; This paperback edition is a reprint of 1965 edition published by Wiley; Includes bibliographical references and indexes; Ch. 1; Algebra of Vectors and Matrices; 1a; Vector Spaces; 1b; Theory of Matrices and Determinants; 1c; Eigenvalues and Reduction of Matrices; 1d; Convex Sets in Vector Spaces; 1e; Inequalities; 1f; Extrema of Quadratic Forms --; Ch. 2; Probability Theory, Tools and Techniques; 2a; Calculus of Probability; 2b; Mathematical Expectation and Moments of Random Variables; 2c; Limit Theorems; 2d; Family of Probability Measures and Problems of Statistics --; Ch. 3; Continuous Probability Models; 3a; Univariate Models; 3b; Sampling Distributions; 3c; Symmetric Normal Distribution; 3d; Bivariate Normal Distribution --; Ch. 4; The Theory of Least Squares and Analysis of Variance; 4a; Theory of Least Squares (Linear Estimation); 4b; Tests of Hypotheses and Interval Estimation; 4c; Problems of a Single Sample; 4d; One-Way Classified Data; 4e; Two-Way Classified Data; 4f; A General Model for Two-Way Data and Variance Components; 4g; The Theory and Application of Statistical Regression; 4h; The General Problem of Least Squares with Two Sets of Parameters; 4i; Unified Theory of Linear Estimation; 4j; Estimation of Variance Components; 4k; Biased Estimation in Linear Models --; Ch. 5; Criteria and Methods of Estimation; 5a; Minimum Variance Unbiased Estimation; 5b; General Procedures; 5c; Criteria of Estimation in Large Samples; 5d; Some Methods of Estimation in Large Samples; 5e; Estimation of the Multinomial Distribution; 5f; Estimation of Parameters in the General Case; 5g; The Method of Scoring for the Estimation of Parameters --; Ch. 6; Large Sample Theory and Methods; 6a; Some Basic Results; 6b; Chi-Square Tests for the Multinomial Distribution; 6c; Tests Relating to Independent Samples from Multinomial Distributions; 6d; Contingency Tables; 6e; Some General Classes of Large Sample Tests; 6f; Order Statistics; 6g; Transformation of Statistics; 6h; Standard Errors of Moments and Related Statistics --; Ch. 7; Theory of Statistical Inference; 7a; Testing of Statistical Hypotheses; 7b; Confidence Intervals; 7c; Sequential Analysis; 7d; Problem of Identification - Decision Theory; 7e; Nonparametric Inference; 7f; Ancillary Information --; Ch. 8; Multivariate Analysis; 8a; Multivariate Normal Distribution; 8b; Wishart Distribution; 8c; Analysis of Dispersion; 8d; Some Applications of Multivariate Tests; 8e; Discriminatory Analysis (Identification); 8f; Relation between Sets of Variates; 8g; Orthonormal Basis of a Random Variable
ER  -