书目名称 | Linear Algebra and Linear Models |
编辑 | R.B. Bapat |
视频video | |
概述 | Provides a concise and rigorous introduction to linear algebra from the matrix theory viewpoint which is well-suited for statistical applications.Offers a compact introduction to estimation and testin |
丛书名称 | Universitext |
图书封面 |  |
描述 | .Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariate normal distribution and distribution of quadratic forms are included..For this third edition, the material has been reorganised to develop the linear algebra in the first six chapters, to serve as a first course on linear algebra that is especially suitable for students of statistics or for those looking for a matrix theoretic approach to the subject. Other key features include:. coverage of topics such as rank additivity, inequalities for eigenvalues and singular values;. a new chapter on linear mixed models;. over seventy additional problems on rank: the matrix rank is an important and rich topic with connections to many aspects of linear algebra such as generalized inverses, idempotent matrices and partitioned matrices..This text is aimed primarily at advanced undergraduate and first-year graduate students taking courses in linear algebra, linear models, multivariate analysis and d |
出版日期 | Textbook 2012Latest edition |
关键词 | linear algebra; linear model; mixed effects model; normal equations; variance components; variance-covari |
版次 | 3 |
doi | https://doi.org/10.1007/978-1-4471-2739-0 |
isbn_softcover | 978-1-4471-2738-3 |
isbn_ebook | 978-1-4471-2739-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag London Limited 2012 |