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Fractal-Based Point Processesby Steven Bradley Lowen; Malvin Carl Teich
John Wiley & Sons, Inc. 2005; US$ 150.00An 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... more...
Case Studies in Spatial Point Process Modelingby Adrian Baddeley; Pablo Gregori; Jorge Mateu
Springer-Verlag New York Inc 2006; US$ 98.00Spatial point processes are complex stochastic models that describe the locations of "interesting" events, and (possibly) some information about each event. This book is focused on case studies. more...
An Introduction to the Theory of Point Processes 2by D.J. Daley; David Vere-Jones
Springer 2005; US$ 99.00Sets out the basic theory of random measures and point processes. This volume covers the topics of: limit theorems, ergodic theory, Palm theory, and evolutionary behaviour via martingales and conditional intensity. It also includes discussions of marked point processes, convergence to equilibrium, and the structure of spatial point processes. more...
The Poisson-Dirichlet Distribution and Related Topicsby Shui Feng
Springer 2010; US$ 99.00The Poisson-Dirichlet distribution is an infinite dimensional probability distribution. It was introduced by Kingman over thirty years ago, and has found applications in a broad range of areas including Bayesian statistics, combinatorics, differential geometry, economics, number theory, physics, and population genetics. This monograph provides a comprehensive study of this distribution and some related topics, with particular emphasis on recent progresses in evolutionary dynamics and asymptotic behaviors. One central scheme is the unification of the Poisson-Dirichlet distribution, the urn structure, the coalescent, the evolutionary dynamics through the grand particle system of Donnelly and Kurtz. It is largely self-contained. The methods and... more...
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