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A CLT for multi-dimensional martingale differences in a lexicographic order

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Publication:265652
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DOI10.1016/j.spa.2015.11.011zbMath1335.60019OpenAlexW2196399171MaRDI QIDQ265652

Guy Cohen

Publication date: 4 April 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2015.11.011


zbMATH Keywords

lexicographic ordercentral limit theoremmartingale differencesrandom fields


Mathematics Subject Classification ID

Random fields (60G60) Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05)


Related Items

Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields



Cites Work

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  • On the rate of convergence in the central limit theorem for martingales with discrete and continuous time
  • Central limit theorem for two-parameter martingale differences with application to stationary random fields
  • Dependent central limit theorems and invariance principles
  • On functional central limit theorem for stationary martingale random fields
  • On the Departure from Normality of a Certain Class of Martingales
  • Ergodic Theorems for Abelian Semi-Groups
  • A central limit theorem for stationary random fields
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