On the admissibility of spherical spatial covariance functions in higher dimensions

DOI10.1016/j.jspi.2021.07.008zbMath1478.62278OpenAlexW3196739611MaRDI QIDQ2059428

Yingcai Su

Publication date: 14 December 2021

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2021.07.008

zbMATH Keywords

covariance functioncharacteristic functioncurse of dimensionalityspatial processisotropic spatial processspherical covariance function

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Admissibility in statistical decision theory (62C15)

Cites Work

• Quasi-arithmetic means of covariance functions with potential applications to space-time data
• On alpha-symmetric multivariate distributions
• Spatial variation. 2nd ed
• A class of isotropic covariance functions
• Stochastic processes. A survey of the mathematical theory
• Correlation theory of stationary and related random functions. Volume I: Basic results
• Correlation theory of stationary and related random functions. Volume II: Supplementary notes and references
• On \(\alpha\)-symmetric multivariate characteristic functions
• Estimation of random fields by piecewise constant estimators
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