An almost sure invariance principle for partial sums associated with a random field

DOI10.1016/0304-4149(81)90017-XzbMath0453.60037OpenAlexW2074517312MaRDI QIDQ1149177

Carla C. Neaderhouser

Publication date: 1981

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(81)90017-x

zbMATH Keywords

invariance principlealmost sure convergencemixing random variablesweakly dependent random variables

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15) Brownian motion (60J65) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (4)

On a CLT for Gibbs fields and its functional version. ⋮ On Regularity Conditions for Random Fields ⋮ Local central limit theorem for long-range two-body potentials at sufficiently high temperatures ⋮ Some examples of mixing random fields

Cites Work

• Unnamed Item
• Sums of independent random variables on partially ordered sets
• Limit theorems for multiply indexed mixing random variables, with application to Gibbs random fields
• Some limit theorems for random fields
• A note on empirical processes of strong-mixing sequences
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• Approximation of partial sums of i.i.d.r.v.s when the summands have only two moments
• Almost sure invariance principles for partial sums of weakly dependent random variables
• Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
• Some Limit Theorems for Stationary Processes

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