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math.FA2018
Criterion for the coincidence of strong and weak Orlicz spaces
Maria Rosaria Formica, Eugeny Ostrovsky
We provide necessary and sufficient conditions for the coincidence, up to equivalence of the norms, between strong and weak Orlicz spaces. Roughly speaking, this coincidence holds…
math.PR2018
Exponential tail estimates in the Law of Ordinary Logarithm (LOL) for arrays of random variables
Maria Rosaria Formica, Yurii Vasilovich Kozachenko, Eugeny Ostrovsky +1
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.