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A Kind of Exact Rates in Complete Moment Convergence for Moving-Average Processes

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Publication:2859294
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DOI10.1080/03610926.2011.611323zbMath1281.60032OpenAlexW2029374144MaRDI QIDQ2859294

Qing Pei Zang

Publication date: 7 November 2013

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

Full work available at URL: https://doi.org/10.1080/03610926.2011.611323


zbMATH Keywords

Rosenthal type inequalityprecise asymptoticsmoving-average process


Mathematics Subject Classification ID

Strong limit theorems (60F15)





Cites Work

  • Large deviations for some weakly dependent random processes
  • Complete convergence of moving average processes
  • Precise asymptotics in the law of the iterated logarithm.
  • Precise asymptotics in the law of the iterated logarithm of moving-average processes
  • Precise asymptotics for a new kind of complete moment convergence
  • Limiting behaviour of moving average processes under \(\varphi \)-mixing assumption
  • Some Limit Theorems for Stationary Processes
  • A central limit theorem for stationary linear processes generated by linearly positively quadrant-dependent processes




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