STEVEN BRADLEY LOWEN – FRACTAL BASED POINT PROCESSES

An approach to point processes.

A complete and integrated presentation of the fields of point processes, from definitions and measures to analysis and estimation is provided in this publication. The authors show how point processes can be used to represent and describe a wide variety of different phenomena in the physical and biological sciences. Topics include information packet arrivals on a computer network and neural preparation.

The authors begin with concrete and key examples of point processes, followed by an introduction to chaos. A collection of measures are presented. The authors move on to integrate the two fields of study with the concepts of point processes and fractals thoroughly explored. An explanation of how various operations modify point-process families is provided. The analysis and estimation techniques examined by the authors are suitable for these processes. The application used to illustrate the various approaches and models is discussed.

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 at the end of each chapter allow readers to put their newfound knowledge to use, and all solutions are provided in an appendix. Links to supplementary materials and tools can be found on the accompanying Web site.

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.

Get Steven Bradley Lowen.

Steven Bradley Lowen is the author of Fractal Based Point Processes.