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An elementary proof of the lower bound of Cramér's theorem in \(\mathbb R^d\)

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Publication:419222
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DOI10.1016/J.SPL.2011.10.007zbMath1242.60028OpenAlexW2034949463MaRDI QIDQ419222

Xiangfeng Yang

Publication date: 18 May 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.10.007


zbMATH Keywords

empirical meansrate functionCramér's theorem


Mathematics Subject Classification ID

Large deviations (60F10)





Cites Work

  • Unnamed Item
  • Large deviations techniques and applications.
  • Large deviations of the sample mean in general vector spaces
  • Dominating points and the asymptotics of large deviations for random walk on \(R^ r\).
  • A note on the upper bound for i.i.d. large deviations
  • A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations




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