| Description |
1 online resource (300 pages) |
| Series |
Chapman & Hall/CRC Interdisciplinary Statistics |
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Interdisciplinary statistics.
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| Contents |
Directional Statistics in Machine Learning: A Brief Review Suvrit Sra 13. A pplied Directional Statistics with R: an Overview Arthur Pewsey |
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Cover; Half title; Series editors; Title; Copyright; Contents; Contributors; Editors; Introduction; Chapter 1 Directional Statistics in Protein Bioinformatics; Kanti V. Mardia, Jesper Illemann Foldager, and Jes Frellsen 1.1 Introduction; 1.2 Protein Structure; 1.3 Protein Geometry; 1.4 Structure Determination and Prediction; 1.4.1 Markov Chain Monte Carlo Simulations of Proteins .; 1.5 Generative Models for the Polypeptide Backbone; 1.5.1 Bivariate Angular Distributions; 1.5.1.1 Bivariate von Mises; 1.5.1.2 Histograms and Fourier Series; 1.5.1.3 Mixture of von Mises |
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1.5.2 A Dynamical Bayesian Network Model: TorusDBN . .1.6 Generative Models for Amino Acids Side Chains; 1.7 Discussion; Chapter 2 Orientations of Symmetrical Objects; Richard Arnold and Peter Jupp 2.1 Ambiguous Rotations; 2.1.1 Symmetry Groups; 2.1.2 Symmetric Frames; 2.2 From Symmetric Frames to Symmetric Arrays; 2.3 Summary Statistics; 2.4 Testing Uniformity; 2.5 Distributions of Ambiguous Rotations; 2.5.1 A General Class of Distributions on SO(3)=K; 2.5.2 Concentrated Distributions; 2.6 Tests of Location; 2.6.1 One-Sample Tests; 2.6.2 Two-Sample Tests; 2.7 Further Developments |
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2.8 Analysis of Examples2.8.1 Analysis of Example 1; 2.8.2 Analysis of Example 2; 2.8.3 Analysis of Example 3; Chapter 3 Correlated Cylindrical Data; Francesco Lagona 3.1 Correlated Cylindrical Data; 3.2 Cylindrical Hidden Markov Models; 3.2.1 The Abe{Ley Density; 3.2.2 Modeling a Cylindrical Time Series; 3.2.3 Modelling a Cylindrical Spatial Series; 3.3 Identi cation of Sea Regimes; 3.4 Segmentation of Current Fields; 3.5 Outline; Chapter 4 Toroidal Di usions and Protein Structure Evolution |
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Eduardo Garc a-Portugu es, Michael Golden, Michael Srensen, Kanti V. Mardia, Thomas Hamelryck, and Jotun Hein 4.1 Introduction4.1.1 Protein Structure; 4.1.2 Protein Evolution; 4.1.3 Toward a Generative Model of Protein Evolution; 4.2 Toroidal Di usions; 4.2.1 Toroidal Ornstein{Uhlenbeck Analogues; 4.2.2 Estimation for Toroidal Di usions; 4.2.3 Empirical Performance; 4.3 ETDBN: An Evolutionary Model for Protein Pairs; 4.3.1 Hidden Markov Model Structure; 4.3.2 Site-Classes: Constant Evolution and Jump Events . .; 4.3.3 Model Training; 4.3.4 Benchmarks |
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4.4 Case Study: Detection of a Novel Evolutionary Motif4.5 Conclusions; Chapter 5 Noisy Directional Data; Thanh Mai Pham Ngoc 5.1 Introduction; 5.2 Some Preliminaries about Harmonic Analysis on SO(3) and S2; 5.3 Model and Assumptions; 5.3.1 Null and Alternative Hypotheses; 5.3.2 Noise Assumptions; 5.4 Test Constructions; 5.5 Numerical Illustrations; 5.5.1 The Testing Procedures; 5.5.2 Alternatives; 5.5.3 Simulations; 5.5.4 Real Data: Paleomagnetism; 5.5.5 Real Data: UHECR; Chapter 6 On Modeling of SE(3) Objects; Louis-Paul Rivest and Karim Oualkacha 6.1 Introduction |
| Notes |
Introduction Christophe Ley and Thomas Verdebout 1. Directional Statistics in Protein Bioinformatics Kanti V. Mardia, Jesper Illemann Foldager, and Jes Frellsen 2. Statistics of Orientations of Symmetrical Objects Richard Arnold and Peter Jupp 3. Correlated Cylindrical Data Francesco Lagona 4. Toroidal Diffusions and Protein Structure Evolution Eduardo García-Portugués, Michael Golden, Michael Soerensen, Kanti V. Mardia, Thomas Hamelryck, Jotun Hein 5. Noisy Directional Data Thanh Mai Pham Ngoc 6. On Modelling of SE(3) Objects Louis-Paul Rivest and Karim Oualkacha 7 |
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Spatial and Spatio-temporal Circular Processes with Application to Wave Direction Giovanna Jona-Lasinio, Alan E. Gelfand, and Gianluca Mastrantonio 8. Cylindrical Distributions and their Applications to Biological Data Toshihiro Abe & Ichiro Ken Shimatani 9. Directional Statistics for Wildfires Jose Ameijeiras-Alonso, Rosa M. Crujeiras, Alberto Rodríguez Casal 10. Bayesian Analysis of Circular Data in Social and Behavioural Sciences Irene Klugkist, Jolien Cremers, and Kees Mulder 11. Nonparametric Classification for Circular Data Marco Di Marzio, Stefania Fensore, and Charles C. Taylor 12 |
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Online resource; title from digital title page (viewed on October 18, 2018) |
| Subject |
Mathematical statistics.
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Circular data.
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Spherical data.
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Circular data
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Mathematical statistics
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Spherical data
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| Form |
Electronic book
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| Author |
Ley, Christophe, editor.
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Verdebout, Thomas, editor.
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| ISBN |
9781351856522 |
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1351856529 |
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