Probability Distributions for Directional Data on Smooth Manifolds (Wiley Series in Probability and Statistics)

by Ashis SenGupta and Kunio Shimizu

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This book provides a comprehensive and rigorous treatment of real-life scientific problems which encounter non-linear data. The authors first present methods for developing distributions on a circle. Then, they proceed to show how such methods are generalized for other manifolds. They also consider new methods peculiar to certain other manifolds, like disc and hyperdisc. The organization of the book develops the methods from the beginning for a simple manifold, letting the reader appreciate how these unfold and generalize to more complicated manifolds. Next, rather than separately treating one distribution at a time, the authors develop the generalizations of the methods of derivations. Finally, new distributions are presented as outcomes of these generalizations. The authors also provide several real-life examples, which not only attest to the ongoing usefulness, but will also help the reader visualize other modern day areas of the applications of these important distributions.

  • ISBN10 1119414067
  • ISBN13 9781119414063
  • Publish Date 12 November 2023 (first published 28 August 2023)
  • Publish Status Forthcoming
  • Publish Country US
  • Publisher John Wiley and Sons Ltd
  • Imprint Wiley-Blackwell
  • Format Hardcover
  • Pages 270
  • Language English