Non-central limit theorems for functionals of random fields on hypersurfaces

DOI10.1051/ps/2020006zbMath1461.60036arXiv1810.09285OpenAlexW3009576629MaRDI QIDQ5135947

Volodymyr Vaskovych, Andrew Ya. Olenko

Publication date: 24 November 2020

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09285

zbMATH Keywords

random fieldlong-range dependencenon-central limit theoremssojourn measuresHermite-type distribution

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) General second-order stochastic processes (60G12)

Related Items (5)

Chebyshev--Hermite Polynomials and Distributions of Polynomials in Gaussian Random Variables ⋮ Limit theorems for filtered long-range dependent random fields ⋮ THEORY AND STATISTICS OF LONG-RANGE DEPENDENT RANDOM PROCESSES ⋮ On LSE in regression model for long-range dependent random fields on spheres ⋮ Distributions of second order polynomials in Gaussian random variables

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