Mardia / Jupp Directional Statistics

1. Auflage 2009
ISBN: 978-0-470-31781-5
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 460 Seiten, E-Book

Reihe: Wiley Series in Probability and Statistics

Presents new and up-dated material on both the underlying theoryand the practical methodology of directional statistics, helpingthe reader to utilise and develop the techniques appropriate totheir work.
The book is divided into three parts. The first part concentrateson statistics on the circle. Topics covered include tests ofuniformity, tests of good-of-fit, inference on von Misesdistributions and non-parametric methods. The second part considersstatistics on spheres of arbitrary dimension, and includes adetailed account of inference on the main distributions on spheres.Recent material on correlation, regression time series, robusttechniques, bootstrap methods, density estimation and curve fittingis presented. The third part considers statistics on more generalsample spaces, in particular rotation groups, Stiefel manifolds,Grassmann manifolds and complex projective spaces. Shape analysisis considered from the perspective of directional statistics.
Written by leading authors in the field, this text will beinvaluable not only to researchers in probability and statisticsinterested in the latest developments in directional statistics,but also to practitioners and researchers in many scientificfields, including astronomy, biology, computer vision, earthsciences and image analysis.

Autoren/Hrsg.

Mardia, Kanti V.

Jupp, Peter E.

Inhaltsverzeichnis

I: Circular data;
2. Summary Statistics;
3 Basic Concepts and Models;
4 Fundamental Theorems and Distribution Theory;
5 Point Estimation;
6 Tests of Uniformity and Tests of Goodness-of-Fit;
7. Tests on von Mises Distributions
8 Non-parametric Methods
9 Distributions on Spheres
10 Inference on Spheres
11 Correlation and Regression
12 Modern Methodology
13 General Sample Spaces
14 Shape Analysis