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024 7 $a10.1007/978-1-4614-5562-2
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035   $a(EBL)1081949
035   $a(OCoLC)823729041
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035   $a(DE-He213)978-1-4614-5562-2
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035   $a(PPN)168303388
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100   $a20121212d2013      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aDihedral Fourier Analysis$b[electronic resource] $eData-analytic Aspects and Applications /$fby Marlos A. G. Viana, Vasudevan Lakshminarayanan
205   $a1st ed. 2013.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013.
215   $a1 online resource (131 p.)
225 1 $aLecture Notes in Statistics,$x0930-0325
300   $aDescription based upon print version of record.
311   $a1-4614-5561-8 
320   $aIncludes bibliographical references and index.
327   $aSymmetry and Experimental Data -- Algebraic and Data-Analytic Aspects -- Curvature and Refraction Data -- Symbolic Sequences -- Symmetry Preference and Perception -- Other Applications -- Glossary -- Index.
330   $aDihedral Fourier Analysis introduces the theory and applications necessary to study experimental data indexed by, or associated with, the points in a dihedral symmetry orbit. This book looks at experimental data and analytical models indexed by certain dihedral rotations and reversals realized as vector fields. Its particular relevance as a research tool in areas such as optical and molecular biology statistics appears when formulated within the context of symmetry studies, which formally connects algebraic and statistical reasoning together in one methodology for data summary and inference. Chapter 1 presents an overview of the theory and methods of dihedral analysis. It introduces data sets and examples defining and connecting the algebraic notions of symmetry with those of statistical summaries and inference. Chapter 2 includes the required algebraic aspects and data-analytic results. Chapters 3-6 offer applications of the methods presented in the text. This book is intended for data analysts of both theoretical and applied statistics.
410  0$aLecture Notes in Statistics,$x0930-0325
606   $aStatistics 
606   $aStatistical Theory and Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/S11001
606   $aStatistics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/S0000X
615  0$aStatistics .
615 14$aStatistical Theory and Methods.
615 24$aStatistics, general.
676   $a515.2433
700   $aViana$b Marlos A. G$4aut$4http://id.loc.gov/vocabulary/relators/aut$01060988
702   $aLakshminarayanan$b Vasudevan$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910438150603321
996   $aDihedral Fourier Analysis$92516810
997   $aUNINA