Symmetry studies : an introduction to the analysis of structured data in applications [EBook] / Marlos A.G. Viana.
Symmetry studies : an introduction to the analysis of structured data in applications [EBook] / Marlos A.G. Viana.
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 handed...
Personal Name(s):  Viana, Marlos A. G., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2008

Physical Description: 
1 online resource (x, 235 pages) 
Note: 
englisch 
ISBN: 
9780511755477 9780521841030 
Series Title: 
Cambridge series on statistical and probabilistic mathematics ;
26 
Subject (LOC):  
Full Text 
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 symmetryrelated research questions and their statistical analysis. 