Symmetry Studies

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.

Author: Marlos A. G. Viana
Publisher: Cambridge University Press
Published: 06/09/2008
Pages: 248
Binding Type: Hardcover
Weight: 1.30lbs
Size: 10.00h x 7.10w x 0.70d
ISBN: 9780521841030

Review Citation(s):
Choice 08/01/2009