Aimed at students and researchers in mathematics, communications engineering, and economics, this book describes the probabilistic structure of a Gaussian process in terms of its canonical representation (or its innovation process). Multiple Markov properties of a Gaussian process and equivalence problems of Gaussian processes are clearly presented. The authors' approach is unique, involving causality in time evolution and information-theoretic aspects. Because the book is self-contained and only requires background in the fundamentals of probability theory and measure theory, it would be...
Aimed at students and researchers in mathematics, communications engineering, and economics, this book describes the probabilistic structure of a Gaus...
White noise analysis is an advanced stochastic calculus. It has two main characteristics. One is the notion of generalized white noise functionals. The other characteristic is that the white noise analysis has an aspect of infinite dimensional harmonic analysis arising from the infinite dimensional rotation group.
White noise analysis is an advanced stochastic calculus. It has two main characteristics. One is the notion of generalized white noise functionals. Th...
