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Symmetry Studies: An Introduction to the Analysis of Structured Data in Applications - Couverture rigide

Viana, Marlos A. G.

 
9780521841030: Symmetry Studies: An Introduction to the Analysis of Structured Data in Applications
Couverture rigide
ISBN 10 : 0521841038 ISBN 13 : 9780521841030
Editeur : Cambridge University Press, 2008

Synopsis

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.

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Présentation de l'éditeur

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.

Revue de presse

"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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2008
Langue
anglais
ISBN 10 
0521841038
ISBN 13 
9780521841030
Reliure
Relié
Numéro d'édition
1
Nombre de pages
248
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

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