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  1. Home
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  3. Symmetry Studies
  • Cited by 11
Publisher:
Cambridge University Press
Online publication date:
July 2010
Print publication year:
2008
Online ISBN:
9780511755477
DOI:
https://doi.org/10.1017/CBO9780511755477
Subjects:
Mathematics, General Statistics and Probability, Algebra, Statistical Theory and Methods, Statistics and Probability
Series:
Cambridge Series in Statistical and Probabilistic Mathematics (26)
Information

Book description

Experimental data can often be associated with or indexed by certain symmetrically interesting structures or sets of labels that appear, for example, in the study of short symbolic sequences in molecular biology, in preference or voting data, in (corneal) curvature data, and in studies of the handedness and entropy of symbolic sequences and elementary images. The symmetry studies introduced in this book describe the interplay among symmetry transformations that are characteristic of these sets of labels, their resulting classification, the algebraic decomposition of the data indexed by them, and the statistical analysis of the invariants induced by those decompositions. The overall purpose is to facilitate and guide the statistical study of the structured data from both a descriptive and inferential perspective. The text combines notions of algebra and statistics and develops a systematic methodology to better explore the interplay between symmetry-related research questions and their statistical analysis.

Reviews

"This is the perfect group theory book for students of statistics theory."
D.V. Feldman, Choice Magazine

"... useful for introducing these algebraic methods as tools in applied mathematics and statistics to relatively inexperienced students."
Seth Sullivant, Mathematical Reviews

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