2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145906In 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.12 pagesProbabilityprimary 60G17text