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Dihedral Fourier Analysis [[electronic resource] ] : Data-analytic Aspects and Applications / / by Marlos A. G. Viana, Vasudevan Lakshminarayanan



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Autore: Viana Marlos A. G Visualizza persona
Titolo: Dihedral Fourier Analysis [[electronic resource] ] : Data-analytic Aspects and Applications / / by Marlos A. G. Viana, Vasudevan Lakshminarayanan Visualizza cluster
Pubblicazione: New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (131 p.)
Disciplina: 515.2433
Soggetto topico: Statistics 
Statistical Theory and Methods
Statistics, general
Persona (resp. second.): LakshminarayananVasudevan
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Symmetry and Experimental Data -- Algebraic and Data-Analytic Aspects -- Curvature and Refraction Data -- Symbolic Sequences -- Symmetry Preference and Perception -- Other Applications -- Glossary -- Index.
Sommario/riassunto: 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 statistics.
Titolo autorizzato: Dihedral Fourier Analysis  Visualizza cluster
ISBN: 1-283-93420-5
1-4614-5562-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910438150603321
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Serie: Lecture Notes in Statistics, . 0930-0325