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Symmetry Studies

Symmetry Studies

Hardcover

Series: Cambridge Statistical and Probabilistic Mathematics, Book 26

Probability & Statistics

ISBN10: 0521841038
ISBN13: 9780521841030
Publisher: Cambridge
Published: Jun 9 2008
Pages: 248
Weight: 1.30
Height: 0.70 Width: 7.10 Depth: 10.00
Language: English
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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Probability & Statistics