|  | Lowen, Steven Bradley / Teich, Malvin Carl
Fractal-Based Point Processes
Wiley Series in Probability and Statistics
 1. Edition October 2005
129.- Euro
2005. 626 Pages, Hardcover
ISBN 978-0-471-38376-5 - John Wiley & Sons
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| Short description
This publication provides a complete, 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 exceptionally useful for representing and describing a wide variety of diverse phenomena in the physical and biological sciences, from information-packet arrivals on a computer network to action-potential occurrences in a neural preparation. Fractal-Based Point Processes should appeal to students and researchers in a broad variety of disciplines, including engineering, physics, mathematics, statistics, medicine, psychology, and geophysics.
From the contents
List of Figures.
List of Tables.
Preface.
Authors.
1. Introduction.
2. Scaling, Fractals, and Chaos.
3. Point Processes: Definition and Measures.
4. Point Processes: Examples.
5. Fractal and Fractal-Rate Point Processes.
6. Processes Based on Fractional Brownian Motion.
7. Fractal Renewal Processes.
8. Processes Based on the Alternating Fractal Renewal Process.
9. Fractal Shot Noise.
10. Fractal-Shot-Noise-Driven Point Processes.
11. Operations.
12. Analysis and Estimation.
13. Computer Network Traffic.
Appendix A: List of Symbols.
Appendix B: Derivations.
Appendix C: Problem Solutions.
Bibliography.
Author Index.
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