Characterisations of set-indexed Brownian motion and associated conditions for finite-dimensional convergence

DOI10.1214/aop/1176992439zbMath0603.60017OpenAlexW2092500187MaRDI QIDQ1082709

Charles M. Goldie, Prescilla E. Greenwood

Publication date: 1986

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992439

zbMATH Keywords

weak convergencelogarithmic mixing rate

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Generalizations of martingales (60G48) Characterization and structure theory of statistical distributions (62E10) Convergence of probability measures (60B10)

Related Items (5)

Invariance principles for self-similar set-indexed random fields ⋮ A set-indexed fractional Brownian motion ⋮ On a CLT for Gibbs fields and its functional version. ⋮ A central limit theorem for nonuniform \(\varphi\)-mixing random fields with infinite variance ⋮ On Regularity Conditions for Random Fields

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