ON ASYMPTOTIC PROPERTIES OF NONLINEAR FUNCTIONALS OF RANDOM FIELDS

DOI10.1017/S0004972722000879zbMath1502.60077OpenAlexW4294599605MaRDI QIDQ5053479

Illia Donhauzer

Publication date: 6 December 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000879

zbMATH Keywords

rate of convergencerandom fieldlimit theoremrandom measuremultifractalHermite-type process

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) (L^p)-limit theorems (60F25)

Cites Work

• Asymptotics of running maxima for \(\varphi \)-subgaussian random double arrays
• On rate of convergence in non-central limit theorems
• On stationarity properties of generalized Hermite-type processes
• Strong law of large numbers for functionals of random fields with unboundedly increasing covariances

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