Introduction to Random Chaos contains a wealth of information on this significant area, rooted in hypercontraction and harmonic analysis. Random chaos statistics extend the classical concept of empirical mean and variance. By focusing on the three models of Rademacher, Poisson, and Wiener chaos, this book shows how an iteration of a simple random principle leads to a nonlinear probability model- unifying seemingly separate types of chaos into a network of theorems, procedures, and applications.
The concepts and techniques connect diverse areas of probability, algebra, and analysis and enhance numerous links between many fields of science.
Introduction to Random Chaos serves researchers and graduate students in probability, analysis, statistics, physics, and applicable areas of science and technology.
"[T]he book is a good mathematical treatise on Rademacher, Poisson, and Wiener stochastic processes and adequate random, or stochastic measures." - Zentralblatt MATH, 1053
|Discrete Time Homogeneous Chaos|
|Random Measure and Integral|
|Poisson Integration: Aftermath|
|Variation of Monotone Functions|
|Some Probability in F-Spaces|
|Stable and Pareto Variables|
|Table of Contents provided by Publisher. All Rights Reserved.|
Number Of Pages: 304
Published: 26th March 1998
Dimensions (cm): 27.9 x 21.6 x 1.8
Weight (kg): 0.522