Fractal-Based Point Processes

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Steven Bradley Lowen (McLean Hospital, MA; Harvard University, MA) Malvin Carl Teich (Boston University, MA; Columbia University, NY)

Fractal-Based Point Processes

Steven Bradley Lowen (McLean Hospital, MA; Harvard University, MA), Malvin Carl Teich (Boston University, MA; Columbia University, NY)

$321.95

Hardback

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English

Wiley-Interscience
26 August 2005

Fractal geometry

Series: Wiley Series in Probability and Statistics

An integrated approach to fractals and point processes

This publication provides a complete and integrated presentation of the fields of fractals and point processes, from definitions and measures to analysis and estimation. The authors skillfully demonstrate how fractal-based point processes, established as the intersection of these two fields, are tremendously useful for representing and describing a wide variety of diverse phenomena in the physical and biological sciences. Topics range from information-packet arrivals on a computer network to action-potential occurrences in a neural preparation.

The authors begin with concrete and key examples of fractals and point processes, followed by an introduction to fractals and chaos. Point processes are defined, and a collection of characterizing measures are presented. With the concepts of fractals and point processes thoroughly explored, the authors move on to integrate the two fields of study. Mathematical formulations for several important fractal-based point-process families are provided, as well as an explanation of how various operations modify such processes. The authors also examine analysis and estimation techniques suitable for these processes. Finally, computer network traffic, an important application used to illustrate the various approaches and models set forth in earlier chapters, is discussed.

Throughout the presentation, readers are exposed to a number of important applications that are examined with the aid of a set of point processes drawn from biological signals and computer network traffic. Problems are provided at the end of each chapter allowing readers to put their newfound knowledge into practice, and all solutions are provided in an appendix. An accompanying Web site features links to supplementary materials and tools to assist with data analysis and simulation.

With its focus on applications and numerous solved problem sets, this is an excellent graduate-level text for courses in such diverse fields as statistics, physics, engineering, computer science, psychology, and neuroscience.

By: Steven Bradley Lowen (McLean Hospital MA; Harvard University MA), Malvin Carl Teich (Boston University, MA; Columbia University, NY)
Imprint: Wiley-Interscience
Country of Publication: United States
Dimensions: Height: 242mm, Width: 162mm, Spine: 33mm
Weight: 980g
ISBN: 9780471383765
ISBN 10: 0471383767
Series: Wiley Series in Probability and Statistics
Pages: 626
Publication Date: 26 August 2005
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

STEVEN BRADLEY LOWEN, PHD, is Assistant Professor of Psychiatry at Harvard Medical School and is affiliated with the Brain Imaging Center at McLean Hospital in Belmont, Massachusetts. He received a BS degree from Yale University and MS and PhD degrees from Columbia University. MALVIN CARL TEICH, PHD, is Professor in the Departments of Electrical and Computer Engineering; Biomedical Engineering; and Physics at Boston University; as well as Professor Emeritus at Columbia University. He received SB, MS, and PhD degrees from the Massachusetts Institute of Technology, Stanford University, and Cornell University, respectively.

Reviews for Fractal-Based Point Processes

It is apparent that the authors are truly at home in their field will certainly prove valuable to scientists working in many distinct fields. ( Journal of the American Statistical Association, March 2007) ...an excellent exposition of a cutting-edge topic, and will be extremely valuable as a textbook and for scientists in diverse fields, including astronomy. (Technometrics, February 2007) a very well-written monograph on its subject (Computing Reviews.com, August 10, 2006) .a valuable resource and a quarry of many concrete results from real life. (Mathematical Reviews, 2006f) ...anyone having an intrest in, or potential applications of fractology will want to have a copy of this book... (Journal of Statistical Physics, June 2007)

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Fractal-Based Point Processes

Steven Bradley Lowen (McLean Hospital, MA; Harvard University, MA), Malvin Carl Teich (Boston University, MA; Columbia University, NY)

$321.95

Hardback

Reviews for Fractal-Based Point Processes

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