Limit theorems for linear random fields with tapered innovations. I: the Gaussian case

DOI10.1007/S10986-021-09517-WzbMath1475.60095OpenAlexW3138565159MaRDI QIDQ2047703

Vygantas Paulauskas

Publication date: 4 August 2021

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-021-09517-w

zbMATH Keywords

limit theoremsrandom linear fieldstapered distributions

Mathematics Subject Classification ID

Random fields (60G60) Stochastic processes (60G99) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Limit theorems for linear random fields with tapered innovations. II: The stable case

Cites Work

• Some remarks on definitions of memory for stationary random processes and fields
• Aggregation of autoregressive random fields and anisotropic long-range dependence
• Erratum to: ``A note on linear processes with tapered innovations
• A note on linear processes with tapered innovations
• Limit theorems for sums of linearly generated random variables
• On Lamperti type limit theorem and scaling transition for random fields
• Scaling transition for long-range dependent Gaussian random fields
• Scaling transition for nonlinear random fields with long-range dependence
• Lamperti-Type Theorems for Random Fields
• Understanding Heavy Tails in a Bounded World or, is a Truncated Heavy Tail Heavy or Not?
• The Invariance Principle for Stationary Processes

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