On Lévy's Brownian motion and white noise space on the circle

DOI10.1016/j.spl.2021.109041zbMath1477.60060OpenAlexW3120249297MaRDI QIDQ2658014

Chunfeng Huang, Ao Li

Publication date: 18 March 2021

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2021.109041

zbMATH Keywords

Brownian bridgeGel'fand triplegeneralized random process

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Brownian motion (60J65) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

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Cites Work

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• An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
• Strictly and non-strictly positive definite functions on spheres
• Is the Brownian bridge a good noise model on the boundary of a circle?
• On the validity of commonly used covariance and variogram functions on the sphere
• Le mouvement Brownien fonction d'un point de la sphère de Riemann
• Intrinsic random functions and universal kriging on the circle
• Strictly positive definite kernels on subsets of the complex plane
• Correlation theory of stationary and related random functions. Volume II: Supplementary notes and references
• A continuous parametric shape model
• When is a truncated covariance function on the line a covariance function on the circle?
• Strictly Hermitian positive definite functions
• Strictly positive definite functions on the unit circle
• Random Fields and Geometry
• Stationary Stochastic Processes. (MN-8)
• Stationary random distributions

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