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Linear Algebra and Linear Models, 2nd Edition (Universitext)by R. B. Bapat
Synopses & ReviewsPublisher Comments:The main purpose of Linear Algebra and Linear Models is to provide a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing. The necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic forms are developed along the way. The book is aimed at advanced undergraduate and firstyear graduate masters students taking courses in linear algebra, linear models, multivariate analysis, and design of experiments. It should also be of use to research mathematicians and statisticians as a source of standard results and problems.
Synopsis:This book presents the linear algebra that is needed for statistical applications by providing a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing. All of the necessary prerequisites are developed along the way. The book will be invaluable to research mathematicians and statisticians as a source of standard results and problems.
Synopsis:This book provides a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing, covering the necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic forms along the way. It will appeal to advanced undergraduate and firstyear graduate students, research mathematicians and statisticians.
Table of ContentsVector Spaces and Matrices. Linear Estimation. Tests of Linear Hypotheses. Singular Values and Their Applications. Block Designs and Optimality. Rank Additivity.
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Science and Mathematics » Mathematics » Algebra » Linear Algebra


