Accuracy and reliability of a model of an isotropic and homogeneous Gaussian random field in the space $C(\mathbb {T})$

DOI10.1090/tpms/1057zbMath1409.60056OpenAlexW2917213702MaRDI QIDQ3120629

N. V. Troshki

Publication date: 5 March 2019

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/1057

zbMATH Keywords

simulationGaussian random fieldsaccuracy and reliabilityisotropic homogeneous random field

Mathematics Subject Classification ID

Gaussian processes (60G15) General theory of stochastic processes (60G07)

Cites Work

• Accuracy and reliability of a model for a Gaussian homogeneous and isotropic random field in the space $L_p(\mathbb {T})$, $p\geq 1$
• Construction models of Gaussian random processes with a given accuracy and reliability in L_p(T), p ≥ 1
• Upper bounds for supremums of the norms of the deviation between a homogeneous isotropic random field and its model
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