On Lamperti type limit theorem and scaling transition for random fields

DOI10.1016/j.jmaa.2020.124852zbMath1470.60137OpenAlexW3112288781MaRDI QIDQ1996145

Julius Damarackas, Vygantas Paulauskas

Publication date: 3 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124852

zbMATH Keywords

limit theoremsrandom linear fieldsscaling transitionsummation of random fields

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Self-similar stochastic processes (60G18)

Related Items (4)

Scaling limits of linear random fields on \(\mathbb{Z}^2\) with general dependence axis ⋮ Limit theorems for linear random fields with tapered innovations. I: the Gaussian case ⋮ Anisotropic scaling limits of long-range dependent random fields ⋮ 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
• Scaling transition for long-range dependent Gaussian random fields
• Scaling transition for nonlinear random fields with long-range dependence
• Anisotropic scaling limits of long-range dependent linear random fields on \(\mathbb{Z}^3\)
• Lamperti-Type Theorems for Random Fields
• Semi-Stable Stochastic Processes
• Central limit theorems for long range dependent spatial linear processes

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