Sub-Gaussian Type Estimates for Symmetric Random Variable
Keywords:
Gaussian-type estimate, law of the iterated logarithm, Levy's inequality, symmetric random variablesAbstract
Sub-Gaussian type estimates are crucial when investigating the asymptotic behavior of symmetric independent random variables. This article aims to establish some sub-Gaussian type estimates for these variables, specifically for the summation of first number of variables and for the tail sums of those variables. We derive three such estimates.
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