Tensor Methods in Statistics
Format: Paperback
ISBN13: 9780486823782
Paperback|9780486823782
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Overview
A pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work constitutes a valuable reference for graduate students and professional statisticians. Prerequisites include some knowledge of linear algebra, eigenvalue decompositions, and linear models as well as likelihood functions and likelihood ratio statistics.
Index notation is the favored mode of expression throughout the book. The first chapter introduces a number of aspects of index notation, groups, invariants, and tensor calculus, with examples drawn from linear algebra, physics, and statistics. Subsequent chapters form the core of the text, addressing moments, cumulants, and invariants. Additional topics include sample cumulants, Edgeworth series, saddlepoint approximation, likelihood functions, and ancillary statistics. More than 200 exercises form an integral part of the text.
Index notation is the favored mode of expression throughout the book. The first chapter introduces a number of aspects of index notation, groups, invariants, and tensor calculus, with examples drawn from linear algebra, physics, and statistics. Subsequent chapters form the core of the text, addressing moments, cumulants, and invariants. Additional topics include sample cumulants, Edgeworth series, saddlepoint approximation, likelihood functions, and ancillary statistics. More than 200 exercises form an integral part of the text.
| ISBN-13 | 9780486823782 |
|---|---|
| ISBN-10 | 0486823784 |
| Weight | 2.31 Pounds |
| Dimensions | 6.00 x 0.70 x 8.90 In |
| List Price | $19.95 |
| Edition | 2nd Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | 304 pages |
| Publisher | Dover Publications |
| Published On | 2018-07-18 |
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