Complete convergence for weighted sums of \(\rho^*\)-mixing random fields

DOI10.1216/RMJ-2014-44-5-1595zbMath1335.60038OpenAlexW1994270664MaRDI QIDQ485880

Mi-Hwa Ko

Publication date: 14 January 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1420071555

zbMATH Keywords

convergence ratescomplete convergencestrong law of large numbersweighted sums\(\rho^*\)-mixing random fields

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Cites Work

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• Convergence rates in the SLLN for some classes of dependent random fields
• Weak consistency of least-squares estimators in linear models
• On the spectral density and asymptotic normality of weakly dependent random fields
• Almost-sure results for a class of dependent random variables
• Equivalent mixing conditions for random fields
• Three theorems on \(\rho^*\)-mixing random fields
• On complete convergence for arrays of rowwise negatively associated random variables
• On the convergence rate of fixed design regression estimators for negatively associated random variables
• Moment Conditions for Almost Sure Convergence of Weakly Correlated Random Variables
• Linear representation of M-estimates in linear models
• Maximum of partial sums and an invariance principle for a class of weak dependent random variables

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