The Law of the Iterated Logarithm
Keywords:
Dyadic martingales, independent random variables, lacunary series, law of the iterated logarithmAbstract
The article begins first with the history and the development of the law of the iterated logarithm, abbreviated LIL. We then discuss the LIL in the context of independent random variables, dyadic martingales, lacunary trigonometric series, and harmonic functions. Finally, we derive a LIL for a sequence of dyadic martingales.
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