On the Asymmetric Marcinkiewicz-Zygmund Strong Law of Large Numbers for Linear Random Fields

DOI10.1080/03610926.2011.593721zbMath1277.60058OpenAlexW2020293579MaRDI QIDQ4929208

Mi-Hwa Ko

Publication date: 13 June 2013

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2011.593721

zbMATH Keywords

strong law of large numberslinear random fieldBeveridge-Nelson decompositionnegative association

Mathematics Subject Classification ID

Random fields (60G60) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

• Unnamed Item
• On Beveridge-Nelson decomposition and limit theorems for linear random fields
• The invariance principle for linear multi-parameter stochastic processes generated by associated fields
• An asymmetric Marcinkiewicz-Zygmund LLN for random fields
• Asymptotics for linear processes
• A note on the almost sure convergence of sums of negatively dependent random variables
• An inequality for sums of independent random variables indexed by finite dimensional filtering sets and its applications to the convergence of series
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• The Hájek-Rényi inequality for the NA random variables and its application
• Negative association of random variables, with applications
• Remarks on the SLLN for linear random fields
• Asymptotics for linear random fields

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