On complete convergence for weighted sums of martingale-difference random fields

DOI10.1186/1029-242X-2013-473zbMath1294.60043WikidataQ59294967 ScholiaQ59294967MaRDI QIDQ2250404

Mi-Hwa Ko

Publication date: 7 July 2014

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

zbMATH Keywords

\(\sigma\)-algebracomplete convergenceweighted sumsmartingale differencemaximal moment inequality

Mathematics Subject Classification ID

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

Cites Work

• Convergence rates in the SLLN for some classes of dependent random fields
• A remark on the law of the logarithm for weighted sums of random variables with multidimensional indices
• Rate of convergence in the strong law of large numbers for martingales
• The invariance principle for linear multi-parameter stochastic processes generated by associated fields
• An asymmetric Marcinkiewicz-Zygmund LLN for random fields
• A law of large numbers for identically distributed martingale differences
• Weak consistency of least-squares estimators in linear models
• Complete convergence of martingale arrays
• Large deviations for martingales.
• Baum-Katz-Nagaev type results for martingales
• Linear representation of M-estimates in linear models
• Complete Convergence and the Law of Large Numbers
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