A central limit theorem for linear random fields

DOI10.1016/j.spl.2011.06.007zbMath1226.60037arXiv1007.1490OpenAlexW2963719593MaRDI QIDQ643231

Atul Mallik, Michael B. Woodroofe

Publication date: 28 October 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1490

zbMATH Keywords

random fieldcentral limit theoremlinear random fields

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05)

Related Items (4)

Limit theorems for linear random fields with innovations in the domain of attraction of a stable law ⋮ Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields ⋮ Exact moderate and large deviations for linear random fields ⋮ A local limit theorem for linear random fields

Cites Work

• Unnamed Item
• Asymptotics for linear processes
• Linear processes in function spaces. Theory and applications
• ON FUNCTIONAL CENTRAL LIMIT THEOREMS FOR LINEAR RANDOM FIELDS WITH DEPENDENT INNOVATIONS
• Some Limit Theorems for Stationary Processes
• Normal approximation for linear stochastic processes and random fields in Hilbert space

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