Probability Distributions for Directional Data on Smooth Manifolds

Author:   Ashis SenGupta ,  Kunio Shimizu
Publisher:   John Wiley & Sons Inc
ISBN:  

9781119414063


Pages:   272
Publication Date:   12 March 2024
Format:   Hardback
Availability:   Awaiting stock   Availability explained
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Probability Distributions for Directional Data on Smooth Manifolds


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Overview

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.

Full Product Details

Author:   Ashis SenGupta ,  Kunio Shimizu
Publisher:   John Wiley & Sons Inc
Imprint:   John Wiley & Sons Inc
Weight:   0.666kg
ISBN:  

9781119414063


ISBN 10:   1119414067
Pages:   272
Publication Date:   12 March 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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Ashis SenGupta, PhD, is Professor in the Applied Statistics Unit at Indian Statistical Institute, Kolkata, India. He received his PhD in Statistics from Ohio State University, USA. Dr. SenGupta is also Adjunct Professor in the Department of Biostatistics and Epidemiology at Augusta University, Georgia, USA. He is a Life Member of the International Indian Statistical Association and the International Forum for Interdisciplinary Mathematics. Kunio Shimizu, PhD, is Adjunct Professor in the School of Statistical Thinking at The Institute of Statistical Mathematics, Tokyo, Japan. He is also Professor Emeritus in the Faculty of Science and Technology at Keio University, Tokyo, Japan. Dr. Shimizu is currently the Chair of the Working Group on Mathematical Statistics at the Science Council of Japan. In 2001 he was awarded the Jacob Wolfowitz Prize by the American Journal of Mathematical and Management Sciences.

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