Directional statistics

Kanti V. Mardia, Peter E. Jupp

Presents new and up--dated material on both the underlying theory and the practical methodology of directional statistics, helping the reader to utilise and develop the techniques appropriate to their work. The book is divided into three parts. The first part concentrates on statistics on the circle. Topics covered include tests of uniformity, tests of good--of--fit, inference on von Mises distributions and non--parametric methods. The second part considers statistics on spheres of arbitrary dimension, and includes a detailed account of inference on the main distributions on spheres. Recent material on correlation, regression time series, robust techniques, bootstrap methods, density estimation and curve fitting is presented. The third part considers statistics on more general sample spaces, in particular rotation groups, Stiefel manifolds, Grassmann manifolds and complex projective spaces. Shape analysis is considered from the perspective of directional statistics. Written by leading authors in the field, this text will be invaluable not only to researchers in probability and statistics interested in the latest developments in directional statistics, but also to practitioners and researchers in many scientific fields, including astronomy, biology, computer vision, earth sciences and image analysis.

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[目次]

  • 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

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この本の情報

書名 Directional statistics
著作者等 Mardia, K. V.
Mardia Kanti V.
Jupp Peter E.
シリーズ名 Wiley series in probability and mathematical statistics
出版元 Wiley
刊行年月 c2000
ページ数 xxi, 429 p.
大きさ 24 cm
ISBN 0471953334
NCID BA44500478
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言語 英語
出版国 イギリス
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