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

Eugeny Ostrovsky; Leonid Sirota; Maria Rosaria Formica; Yurii Vasilovich Kozachenko

arxiv: 1809.04719 · v1 · pith:EHYVRKGXnew · submitted 2018-09-13 · 🧮 math.PR · math.FA

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

Maria Rosaria Formica , Yurii Vasilovich Kozachenko , Eugeny Ostrovsky , Leonid Sirota This is my paper

classification 🧮 math.PR math.FA

keywords arraysexponentiallogarithmordinaryrandomtailvariablesbounds

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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.

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

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