A local limit theorem for linear random fields

DOI10.1111/jtsa.12556zbMath1477.60046arXiv2007.05036OpenAlexW3049418565MaRDI QIDQ5012861

Hailin Sang, Magda Peligrad, Timothy Fortune

Publication date: 25 November 2021

Published in: Journal of Time Series Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05036

zbMATH Keywords

long memoryregularity conditionlinear random fieldslocal limit theorem

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

Related Items (3)

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 ⋮ Classical and almost sure local limit theorems

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