%0 Journal Article %T Exponential Bounds in the Law of Iterated Logarithm for Martingales %A E. Ostrovsky %A L. Sirota %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0801.2125v1