ENGLISH

Symmetry studies: an introduction to the analysis of structured data in applications

By Marlos A. G. Viana

Book information

Publisher
Cambridge University Press
Year
2008
ISBN
9780521841030, 0521841038
ASIN
1
Open Library ID
OL10437410M
Language
english
Format
PDF
Filesize
1 MB (1197471 bytes)
Series
Cambridge Series in Statistical and Probabilistic Mathematics
Edition
1
Pages
247\247
Library
Kolxoz dop KVKftp
Time added
2009-10-26 15:40:52

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 many different data-analysis applications of symmetry.

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