**Translations of Mathematical Monographs**

1993;
183 pp;
Softcover

MSC: Primary 60;
**Print ISBN: 978-0-8218-4358-1
Product Code: MMONO/120.S**

List Price: $80.00

Individual Member Price: $64.00

# Gaussian Processes

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*Takeyuki Hida; Masuyuki Hitsuda*

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 suitable as a textbook at the senior undergraduate or graduate level.

#### Readership

Senior-level and graduate-level mathematics students. Students and researchers in communications engineering. Researchers in economics.

#### Reviews & Endorsements

Each part of the exposition progresses from the simple to the more sophisticated, thus avoiding the perils of plunging the reader straight into the deep waters of the more advanced theory. No specialized knowledge is required on the part of the reader, other than a good command of the general theory of probability.

-- Mathematical Reviews