Geometric Modeling in Probability and Statistics

Authors: Calin, Ovidiu, Udriste, Constantin

  • Comprehensive treatment of probability theory from the framework of differential geometry
  • Well-chosen problems covering a diverse spectrum of topics
  • Use of hands-on software to clarify and understand informational geometry concepts
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eBook $59.99
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  • ISBN 978-3-319-07779-6
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Hardcover $79.99
price for USA
  • ISBN 978-3-319-07778-9
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: September 12, 2016
  • ISBN 978-3-319-38162-6
  • Free shipping for individuals worldwide
Rent the ebook  
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About this Textbook

This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields.

This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.

Reviews

“The book under review presents a concise introduction to the mathematical foundation of information geometry and contains an overview of other related areas of interest and applications. … This book is well-written and will be a useful and important addition to the resources of practitioners and many others engaged in probability theory, mathematical statistics and related subjects. I recommend it highly as a textbook for a course directed at graduate or advanced undergraduate students.” (Prasanna Sahoo, zbMATH, Vol. 1325.60001, 2016)


Table of contents (13 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-319-07779-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-3-319-07778-9
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: September 12, 2016
  • ISBN 978-3-319-38162-6
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Modeling in Probability and Statistics
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-07779-6
DOI
10.1007/978-3-319-07779-6
Hardcover ISBN
978-3-319-07778-9
Softcover ISBN
978-3-319-38162-6
Edition Number
1
Number of Pages
XXIII, 375
Number of Illustrations and Tables
19 b/w illustrations, 3 illustrations in colour
Topics