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A large deviation theorem for weighted sums

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Publication:5656149
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DOI10.1007/BF00533959zbMath0244.60021MaRDI QIDQ5656149

Stephen A. Book

Publication date: 1973

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)



Mathematics Subject Classification ID

Large deviations (60F10)


Related Items (4)

Asymptotic expansion for the distribution density function of the compound Poisson process in large deviations ⋮ Large deviations for infinite weighted sums of stretched exponential random variables ⋮ Cramér’s Theorem is Atypical ⋮ A large deviation principle for weighted sums of independent identically distributed random variables



Cites Work

  • Unnamed Item
  • On Deviations of the Sample Mean
  • Limit theorems for probabilities of large deviations
  • General analogues to the law of the iterated logarithm
  • An Elementary Derivation of Khintchine's Estimate for Large Deviations
  • On the Probability of Large Deviations and Exact Slopes
  • Large Deviation Probabilities for Weighted Sums
  • A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
  • A Note on the Theory of Moment Generating Functions


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