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Book
Matrix analysis for statistics
Author:
ISBN: 9781119092483 9781119092469 9781119092476 1119092485 Year: 2016 Publisher: Hoboken: Wiley,

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Abstract

An up-to-date version of the complete, self-contained introduction to matrix analysis theory and practice Providing accessible and in-depth coverage of the most common matrix methods now used in statistical applications, Matrix Analysis for Statistics, Third Edition features an easy-to-follow theorem/proof format. Featuring smooth transitions between topical coverage, the author carefully justifies the step-by-step process of the most common matrix methods now used in statistical applications, including eigenvalues and eigenvectors; the Moore-Penrose inverse; matrix differentiation; and the distribution of quadratic forms. An ideal introduction to matrix analysis theory and practice, Matrix Analysis for Statistics, Third Edition features: • New chapter or section coverage on inequalities, oblique projections, and antieigenvalues and antieigenvectors • Additional problems and chapter-end practice exercises at the end of each chapter • Extensive examples that are familiar and easy to understand • Self-contained chapters for flexibility in topic choice • Applications of matrix methods in least squares regression and the analyses of mean vectors and covariance matrices Matrix Analysis for Statistics, Third Edition is an ideal textbook for upper-undergraduate and graduate-level courses on matrix methods, multivariate analysis, and linear models. The book is also an excellent reference for research professionals in applied statistics. James R. Schott, PhD, is Professor in the Department of Statistics at the University of Central Florida. He has published numerous journal articles in the area of multivariate analysis. Dr. Schott's research interests include multivariate analysis, analysis of covariance and correlation matrices, and dimensionality reduction techniques.


Book
Applied matrix algebra in the statistical sciences
Author:
ISBN: 0444007563 9780444007568 Year: 1983 Publisher: New York: North-Holland,


Book
Matrices : algebra, analysis, and applications
Author:
ISBN: 9789814667968 9789813141032 981466796X 9813141034 9789814667975 9814667978 Year: 2016 Publisher: New Jersey : World Scientific,

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"This volume deals with advanced topics in matrix theory using the notions and tools from algebra, analysis, geometry and numerical analysis. It consists of seven chapters that are loosely connected and interdependent. The choice of the topics is very personal and reflects the subjects that the author was actively working on in the last 40 years. Many results appear for the first time in the volume. Readers will encounter various properties of matrices with entries in integral domains, canonical forms for similarity, and notions of analytic, pointwise and rational similarity of matrices with entries which are locally analytic functions in one variable. This volume is also devoted to various properties of operators in inner product space, with tensor products and other concepts in multilinear algebra, and the theory of non-negative matrices. It will be of great use to graduate students and researchers working in pure and applied mathematics, bioinformatics, computer science, engineering, operations research, physics and statistics."--

Matrix calculus and zero-one matrices : statistical and econometric applications
Author:
ISBN: 0521807883 0521022452 0511528469 9780521807883 0511826206 9780511528460 9780521022453 Year: 2002 Publisher: Cambridge: Cambridge university press,

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This 2002 book presents the reader with mathematical tools taken from matrix calculus and zero-one matrices and demonstrates how these tools greatly facilitate the application of classical statistical procedures to econometric models. The matrix calculus results are derived from a few basic rules that are generalizations of the rules of ordinary calculus. These results are summarized in a useful table. Well-known zero-one matrices, together with some newer ones, are defined, their mathematical roles explained, and their useful properties presented. The basic building blocks of classical statistics, namely the score vector, the information matrix, and the Cramer-Rao lower bound, are obtained for a sequence of linear econometric models of increasing statistical complexity. From these are obtained interactive interpretations of maximum likelihood estimators, linking them with efficient econometric estimators. Classical test statistics are also derived and compared for hypotheses of interest.


Book
Principles and procedures of multiple matrix sampling
Author:
ISBN: 0884101533 9780884101536 Year: 1973 Publisher: Cambridge (Mass.): Ballinger,


Book
Lectures in semigroups
Author:
ISBN: 0471995142 9780471995142 Year: 1977 Publisher: London: Wiley,


Book
Matrix polynomials
Authors: --- ---
ISBN: 012287160X 9780122871603 Year: 1982 Publisher: New York ; London ; Paris : Academic Press,


Book
Linear structures
Author:
ISBN: 019520655X 085264292X 0852642997 9780195206555 9780852642993 Year: 1988 Volume: 42 Publisher: London : Griffin,


Book
Circulant matrices
Author:
ISBN: 0471057711 9780471057710 Year: 1979 Publisher: New York (N.Y.): Wiley,


Book
Geometry by transformations
Author:
ISBN: 0521204054 9780521204057 Year: 1975 Publisher: Cambridge : Cambridge university press,

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