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Tensor Methods in Statistics (Second Edition)
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Product Details
Author:
Peter McCullagh
Series:
Dover Books on Mathematics
Format:
Paperback
Pages:
304
Publisher:
Dover Publications (July 18, 2018)
Language:
English
ISBN-13:
9780486823782
ISBN-10:
0486823784
Weight:
14.4oz
Dimensions:
6" x 9"
Case Pack:
26
File:
Dover-Dover_05022026_P10034514_onix30_Complete-20260501.xml
Folder:
Dover
List Price:
$19.95
As low as:
$18.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
General/trade
Pub Discount:
65
Imprint:
Dover Publications
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.
