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Tensor Methods in Statistics: Seco

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Book Details

  • Author: Peter McCullagh

  • Publisher: Dover

  • Language: English

  • Edition: Revised, Updated

  • ISBN: 9780486823782

  • Pages: 279

  • Cover: Paperback

  • Package Dimensions: 9.0 x 5.9 x 0.7 inches

About The Book
Tensor Methods in Statistics, by Peter McCullagh, is a pioneering monograph that applies tensor methods to distributional problems in statistics. This revised and updated paperback edition, published by Dover, serves as a valuable reference for graduate students and professional statisticians seeking to understand advanced statistical techniques through the lens of tensor calculus.

The book begins with an introduction to index notation, groups, invariants, and tensor calculus, using examples from linear algebra, physics, and statistics. The core chapters cover topics such as moments, cumulants, sample cumulants, Edgeworth series, saddlepoint approximation, and ancillary statistics. Additional sections address likelihood functions and likelihood ratio statistics.

With 279 pages and more than 200 exercises, this work is an essential resource for statisticians looking to master the application of tensor methods in statistical analysis. The exercises complement the text, reinforcing key concepts and helping readers develop a deeper understanding of the material.