Decomposition of Gaussian processes, and factorization of positive definite kernels

We establish a duality for two factorization questions, one for general positive definite (p.d.) kernels \(K\), and the other for Gaussian processes, say \(V\). The latter notion, for Gaussian processes is stated via Ito-integration. Our approach to factorization for p.d. kernels is intuitively moti...

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Bibliographic Details
Main Authors: Palle Jorgensen, Feng Tian
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2019-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol39/4/art/opuscula_math_3930.pdf

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