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*******************************************************************************<br /> A Matrix Handbook for Statisticians <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 28,473,306 bytes<br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This timely book, A Matrix Handbook for Statisticians, provides a comprehensive, <br /> encyclopedic treatment of matrices as they relate to both statistical concepts <br /> and methodologies. Written by an experienced authority on matrices and <br /> statistical theory, this handbook is organized by topic rather than mathematical <br /> developments and includes numerous references to both the theory behind the <br /> methods and the applications of the methods. A uniform approach is applied to <br /> each chapter, which contains four parts: a definition followed by a list of <br /> results; a short list of references to related topics in the book; one or more <br /> references to proofs; and references to applications. The use of extensive <br /> cross-referencing to topics within the book and external referencing to proofs <br /> allows for definitions to be located easily as well as interrelationships among <br /> subject areas to be recognized.<br /> <br /> Table Of Contents<br /> <br /> Preface.<br /> 1. Notation. <br /> 2. Vectors, Vector Spaces, and Convexity. <br /> 3. Rank. <br /> 4. Matrix Functions: Inverse, Transpose, Trace, Determinant, and Norm. <br /> 5. Complex, Hermitian, and Related Matrices. <br /> 6. Eigenvalues, Eigenvectors, and Singular Values. <br /> 7. Generalized Inverses. <br /> 8. Some Special Matrices. <br /> 9. Non-Negative Vectors and Matrices. <br /> 10. Positive Definite and Non-negative Definite Matrices. <br /> 11. Special Products and Operators. <br /> 12. Inequalities. <br /> 13. Linear Equations. <br /> 14. Partitioned Matrices. <br /> 15. Patterned Matrices. <br /> 16. Factorization of Matrices. <br /> 17. Differentiation and Finite Differences. <br /> 18. Jacobians. <br /> 19. Matrix Limits, Sequences and Series. <br /> 20. Random Vectors. <br /> 21. Random Matrices. <br /> 22. Inequalities for Probabilities and Random Variables. <br /> 23. Majorization. <br /> 24. Optimization and Matrix Approximation. <br /> References.<br /> Index.<br /> <br /> Product Details<br /> <br /> * ISBN: 0471748692<br /> * ISBN-13: 9780471748694<br /> * Format: Hardcover, 576pp<br /> * Publisher: Wiley, John & Sons, Incorporated<br /> * Pub. Date: December 2007<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader