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math.PRSep 13, 2018
authors
  • Maria Rosaria Formica
  • Yurii Vasilovich Kozachenko
  • Eugeny Ostrovsky
  • Leonid Sirota
institutions
  • Parthenope University of Naples
arXiv abstractPDF
paper

Exponential tail estimates in the Law of Ordinary Logarithm (LOL) for arrays of random variables

arXiv:1809.04719

Abstract

We derive exponential bounds for tail of distribution for natural, i.e. under ordinary logarithm, normalized sums of arrays of random variables, not necessarily independent.

References in corpus (7)

  • Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
  • Relations between exponential tails, moments and moment generating functions for random variables and vectors
  • Vector rearrangement invariant banach spaces of random variables with exponential decreasing tails of distributions
  • Fundamental function for Grand Lebesgue Spaces
  • Exponential Bounds in the Law of Iterated Logarithm for Martingales
  • Equivalence between tails, Grand Lebesgue Spaces and Orlicz norms for random variables without Cramer's condition
  • Exact Constants in the Rosenthal Moment Inequalities for Sums of independent centered Random Variables
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