On Complete Convergence for Weighted Sums of NA Random Fields

DOI10.1080/03610926.2012.700380zbMath1301.60024OpenAlexW1963966660MaRDI QIDQ2931569

Mi-Hwa Ko

Publication date: 26 November 2014

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.700380

zbMATH Keywords

complete convergenceweighted sumsnegatively associated random fieldsmultidimensional indices

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
• Convergence rates in the law of the iterated logarithm for negatively associated random variables with multidimensional indices
• Weak consistency of least-squares estimators in linear models
• Asymptotic normality of random fields of positively or negatively associated processes
• Negative association of random variables, with applications
• On the convergence rate of fixed design regression estimators for negatively associated random variables
• Linear representation of M-estimates in linear models
• A weak convergence for negatively associated fields

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