We strengthen the well-known Marcinkiewicz–Zygmund law of large numbers in the case of Banach lattices. Examples of applications to empirical distributions are presented.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 4, pp. 504–513, April, 2010.
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Matsak, I.K., Plichko, A.M. On the Marcinkiewicz–Zygmund law of large numbers in Banach lattices. Ukr Math J 62, 575–587 (2010). https://doi.org/10.1007/s11253-010-0373-z
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DOI: https://doi.org/10.1007/s11253-010-0373-z