We establish conditions under which wavelet expansions of random processes from Orlicz spaces of random variables converge uniformly with probability one on a bounded interval.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 6, pp. 759–775, June, 2008.
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Kozachenko, Y.V., Perestyuk, M.M. On the uniform convergence of wavelet expansions of random processes from Orlicz spaces of random variables. II. Ukr Math J 60, 876–900 (2008). https://doi.org/10.1007/s11253-008-0106-8
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DOI: https://doi.org/10.1007/s11253-008-0106-8