TY - GEN T1 - An innovation approach to random fields : application of white noise theory A1 - Takeyuki, Hida A2 - Si, Si LA - English PP - Singapore ; London PB - World Scientific YR - 2004 UL - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_ocm70744149 AB - 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. OP - 189 CN - QA274.2 .H53 2004eb SN - 9812380957 SN - 9789812380951 SN - 9812565388 SN - 9789812565389 SN - 1281876968 SN - 9781281876966 KW - Stochastic analysis. KW - Random fields. KW - Random noise theory. KW - Analyse stochastique. KW - Champs aléatoires. KW - Théorie du bruit aléatoire. KW - MATHEMATICS : Probability & Statistics : Stochastic Processes. KW - Random noise theory KW - Random fields KW - Stochastic analysis KW - Bruit aléatoire, Théorie du. ER -