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Exponential Bounds in the Law of Iterated Logarithm for Martingales

Probability 2008-01-15 v1

Abstract

In this paper non-asymptotic exponential estimates are derived for tail of maximum martingale distribution by naturally norming in the spirit of the classical Law of Iterated Logarithm. Key words: Martingales, exponential estimations, moment, Banach spaces of random variables, tail of distribution, conditional expectation.

Keywords

Cite

@article{arxiv.0801.2125,
  title  = {Exponential Bounds in the Law of Iterated Logarithm for Martingales},
  author = {E. Ostrovsky and L. Sirota},
  journal= {arXiv preprint arXiv:0801.2125},
  year   = {2008}
}

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12 pages