New York
Lecture notes in statistics ;
Fourier analysis
822263699
822263699
2013
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.
en
Dihedral Fourier analysis : data-analytic aspects and applications
Electronic books
2013
Lakshminarayanan
Vasudevan
Vasudevan Lakshminarayanan
2017-10-12
Springer
9781461455622
1461455626
Viana
Marlos A. G.
Marlos A. G. Viana
Dihedral fourier analysis.
Print version:
nyu
Lecture notes in statistics (Springer-Verlag) ;