|Lowen, Steven Bradley / Teich, Malvin Carl|
Fractal-Based Point Processes
Wiley Series in Probability and Statistics
1. Edition October 2005
2005. 626 Pages, Hardcover
ISBN 978-0-471-38376-5 - John Wiley & Sons
E-Books are also available on all known E-Book shops.
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.
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.
12. Analysis and Estimation.
13. Computer Network Traffic.
Appendix A: List of Symbols.
Appendix B: Derivations.
Appendix C: Problem Solutions.