The order law of large numbers of the Marcinkiewicz–Zygmund type is established for random variables on Banach lattices. Similar results are also obtained for the maximum scheme.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 12, pp. 1587–1597, December, 2010.
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Akbash, K.S., Matsak, I.K. Order law of large numbers of the Marcinkiewicz–Zygmund type. Ukr Math J 62, 1839–1851 (2011). https://doi.org/10.1007/s11253-011-0474-3
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DOI: https://doi.org/10.1007/s11253-011-0474-3