Directional Statistics
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Beschreibung
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.
Autor*in
Kanti V. Mardia
Themen in »Directional Statistics«
Probability & Mathematical Statistics Statistics Statistik Stichprobe Verteilung (Statistik) Wahrscheinlichkeitsrechnung u. mathematische Statistik
Stimmen zu »Directional Statistics«
"This book provides essential material that is very timely andinteresting and provides an excellent treatise on the theory,methodology, and applications of directional and axial statistics."(Technometrics, November 2008)
"This book has been written as a drastic revision and majorextension to Statistics of Directional Data. It is a worthysuccessor to that book and will surely become the definitivereference on this subject are for many years." (Short BookReviews, Vol. 20, No. 3, December 2000)
"The text will be an invaluable source of reference forresearchers and practitioners alike working with directionaldata..." (The Statistician, Vol. 50, 2001)
"...a highly valuable and nicely written contribution"(Statistics and Decisions, Vol 19/2, 2001)
"In coverage and presentation, the current book dominates?thestarting place for anyone wanting to make inferences usingdirectional data or wishing to pursue research in this area."(Mathematical Reviews, 2003b)
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