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Statistics - Statistical Theory and Methods | Dihedral Fourier Analysis - Data-analytic Aspects and Applications

Dihedral Fourier Analysis

Data-analytic Aspects and Applications

Series: Lecture Notes in Statistics, Vol. 1026

Viana, Marlos A. G., Lakshminarayanan, Vasudevan

2013, XVI, 118 p. 48 illus., 46 illus. in color.

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  • Theory and applications of dihedral analysis presented in easy to read lecture notes
  • Color images, practice problems, data sets and examples appear throughout
  • Contains information useful for researchers and students

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 statisticsĀ 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.

Content Level » Research

Keywords » Analysis - Data - Dihedral - Fourier Analysis - Orbit Display - Refraction Data

Related subjects » Statistical Theory and Methods - Statistics

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