Remarks on the SLLN for linear random fields

DOI10.1016/j.spl.2009.11.026zbMath1186.60025OpenAlexW2067192988MaRDI QIDQ2267632

Youri Davydov, Povilas Banys, Vygantas Paulauskas

Publication date: 1 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.spl.2009.11.026

zbMATH Keywords

Beveridge-Nelson decompositionStrong Law of Large Numbersmulti-indexed sums

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15)

Related Items (7)

The strong law of large numbers for linear random fields generated by negatively associated random variables on \(Z^d\) ⋮ CLT for linear random fields with martingale increments ⋮ Rates of convergence in the CLT for linear random fields ⋮ On complete convergence and the strong law of large numbers for pairwise independent random variables ⋮ On the Asymmetric Marcinkiewicz-Zygmund Strong Law of Large Numbers for Linear Random Fields ⋮ Exact moderate and large deviations for linear random fields ⋮ Strong laws of large numbers for arrays of random variables and stable random fields

Cites Work

• Unnamed Item
• The size of the averages of strongly mixing random variables
• Asymptotics for linear processes
• Gibbs measures and phase transitions
• Introduction to probability and measure
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• Subadditive mean ergodic theorems
• Asymptotics for linear random fields

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