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This paper is devoted to investigation of supremum of averaged deviations over some continuous function of a stochastic process from Orlicz space of random variables specified by an Orlicz function from the class Δ. An estimate of distribution of supremum of deviations |X(t) − f(t)| is derived using method of majorizing measures. A special case of sub-Gaussian space of random variables is considered.

On Supremum Distribution of Averaged Deviations of Random Orlicz Processes from the Class 𝚫𝟐