Isotropic Random Fields with the Von Kármán–Whittle Type Correlation Structure

DOI10.1080/03610920903289226zbMath1202.62131OpenAlexW2003636921MaRDI QIDQ3064088

Hong Shu, Xinsheng Ma, Chunsheng Ma

Publication date: 20 December 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920903289226

zbMATH Keywords

stationarycovarianceisotropicpositive definiteSpartan random field

Mathematics Subject Classification ID

Random fields (60G60) Inference from spatial processes (62M30) Random fields; image analysis (62M40)

Related Items (1)

Hyperbolic Vector Random Fields with Hyperbolic Direct and Cross Covariance Functions

Cites Work

• Construction of non-Gaussian random fields with any given correlation structure
• Correlation theory of stationary and related random functions. Volume II: Supplementary notes and references
• Metric spaces and completely monontone functions
• Studies in the history of probability and statistics XLIX On the Matérn correlation family
• Why is isotropy so prevalent in spatial statistics?
• Analytic Properties and Covariance Functions for a New Class of Generalized Gibbs Random Fields
• Generalized Whittle–Matérn random field as a model of correlated fluctuations
• Special Functions, Stieltjes Transforms and Infinite Divisibility
• Spartan Gibbs Random Field Models for Geostatistical Applications
• Spatio-temporal variograms and covariance models

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