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JOURNALS // Theory of Stochastic Processes // Archive

Theory Stoch. Process., 2007 Volume 13(29), Issue 3, Pages 29–37 (Mi thsp226)

Conditioning of gaussian functionals and orthogonal expansion

Andrey A. Dorogovtsev

Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivs'ka Str., Kyiv 01601, Ukraine

Abstract: In the article, we consider terms of the Gaussian chaotic expansion under conditioning with respect to some sigma-field and discuss the possibility to organize the orthogonal expansion from them.

Keywords: Gaussian white noise, Ito–Wiener expansion, conditional expectation, polynomially nondegenerate measure.

MSC: 60H05, 60H40, 60B11

Language: English



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