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A central limit theorem for weighted sums of associated random field

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Publication:2807651
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DOI10.1080/03610926.2013.815212zbMath1338.60071OpenAlexW2007710344MaRDI QIDQ2807651

Mi-Hwa Ko

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2013.815212


zbMATH Keywords

random fieldcentral limit theoremweighted sumsassociated random fielduniformly integrable


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)




Cites Work

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  • A strong invariance principle for positively or negatively associated random fields
  • Central limit theorems for associated random variables and the percolation model
  • The invariance principle for linear multi-parameter stochastic processes generated by associated fields
  • Normal fluctuations and the FKG inequalities
  • Weak consistency of least-squares estimators in linear models
  • Asymptotic normality of random fields of positively or negatively associated processes
  • Invariance principle for associated random fields
  • Central limit theorem for linear processes
  • Linear representation of M-estimates in linear models
  • A CENTRAL LIMIT THEOREM FOR GENERAL WEIGHTED SUMS OF LPQD RANDOM VARIABLES AND ITS APPLICATION
  • Association of Random Variables, with Applications
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