Dihedral Fourier Analysis - Data-analytic Aspects and Applications (Paperback, 2013 ed.)

Dihedral Fourier Analysis introduces the theory and applications necessary to study experimental data indexed by, or associated with, the points in a dihedral symmetry orbit. This book looks at experimental data and analytical models indexed by certain dihedral rotations and reversals realized as vector fields. Its particular relevance as a research tool in areas such as optical and molecular biology statistics appears when formulated within the context of symmetry studies, which formally connects algebraic and statistical reasoning together in one methodology for data summary and inference. Chapter 1 presents an overview of the theory and methods of dihedral analysis. It introduces data sets and examples defining and connecting the algebraic notions of symmetry with those of statistical summaries and inference. Chapter 2 includes the required algebraic aspects and data-analytic results. Chapters 3-6 offer applications of the methods presented in the text. This book is intended for data analysts of both theoretical and applied interests.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Lecture Notes in Statistics, 1026
Release date:	December 2012
First published:	2013
Authors:	Marlos A.G. Viana • Vasudevan Lakshminarayanan
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	118
Edition:	2013 ed.
ISBN-13:	978-1-4614-5561-5
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics
LSN:	1-4614-5561-8
Barcode:	9781461455615

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