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Theorems on large deviations for randomly indexed sum of weighted random variables

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Publication:652293
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DOI10.1007/S10440-011-9641-7zbMath1229.60032OpenAlexW1978494546MaRDI QIDQ652293

Leonas Saulis, Aurelija Kasparavičiūtė

Publication date: 14 December 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9641-7


zbMATH Keywords

characteristic functionlarge deviationsnormal approximationcompound Poisson processcumulantrandom number of summands


Mathematics Subject Classification ID

Large deviations (60F10)


Related Items (2)

On large deviations for random sums of the squares of weighted Gaussian random variables ⋮ Discounted payments theorems for large deviations




Cites Work

  • A general lemma on probabilities of large deviations
  • Theorems of large deviations in the approximation by the compound Poisson distribution
  • On Hoeffding's inequalities.
  • On large deviations
  • Approximation by the Compound Poisson Law
  • Large deviations of sums of independent random variables
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