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E-book
Author Takeyuki, Hida

Title An innovation approach to random fields : application of white noise theory / Takeyuki Hida, Si Si
Published Singapore ; London : World Scientific, ©2004

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Description 1 online resource (xiii, 189 pages)
Contents Preface; Contents; 1. Introduction; 2. White Noise; 3. Poisson Noise; 4. Random Fields; 5 Gaussian Random Fields; 6 Some Non-Gaussian Random Fields; 7 Variational Calculus For Random Fields; 8 Innovation Approach; 9 Reversibility; 10 Applications; Appendix; Epilogue; List of Notations; Bibliography; Index
Summary A random field is a mathematical model of evolutional fluctuatingcomplex systems parametrized by a multi-dimensional manifold like acurve or a surface. As the parameter varies, the random field carriesmuch information and hence it has complex stochastic structure. The authors of this book use an approach that is characteristic:namely, they first construct innovation, which is the most elementalstochastic process with a basic and simple way of dependence, and thenexpress the given field as a function of the innovation. Theytherefore establish an infinite-dimensional stochastic calculus, inpartic
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Stochastic analysis.
Random fields.
Random noise theory.
MATHEMATICS -- Probability & Statistics -- Stochastic Processes.
Random noise theory
Random fields
Stochastic analysis
Analyse stochastique.
Champs aléatoires.
Bruit aléatoire, Théorie du.
Form Electronic book
Author Si, Si
ISBN 9812380957
9789812380951
9812565388
9789812565389
1281876968
9781281876966