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Applied Matrix Algebra in the Statistical Sciences

 EPUB
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22,99 €*

ISBN-13:
9780486153377
Einband:
EPUB
Seiten:
416
Autor:
Alexander Basilevsky
Serie:
Dover Publications
eBook Typ:
Adobe Digital Editions
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:

1. Vectors2. Vector Spaces3. Matrices and Systems of Linear Equations4. Matrices of Special Type5. Latent Roots and Latent Vectors6. Generalized Matrix Inverses7. Nonnegative and Diagonally Dominant MatricesReferencesIndex
This comprehensive text covers both applied and theoretical branches of matrix algebra in the statistical sciences. It also provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate and graduate students, the self-contained treatment also constitutes a handy reference for researchers. The only mathematical background necessary is a sound knowledge of high school mathematics and a first course in statistics.Consisting of two interrelated parts, this volume begins with the basic structure of vectors and vector spaces. The latter part emphasizes the diverse properties of matrices and their associated linear transformations--and how these, in turn, depend upon results derived from linear vector spaces. An overview of introductory concepts leads to more advanced topics such as latent roots and vectors, generalized inverses, and nonnegative matrices. Each chapter concludes with a section on real-world statistical applications, plus exercises that offer concrete examples of the applications of matrix algebra.