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arXiv:1210.6336 [math.PR]AbstractReferencesReviewsResources

A Characterization of a New Type of Strong Law of Large Numbers

Deli Li, Yongcheng Qi, Andrew Rosalsky

Published 2012-10-23Version 1

By applying results obtained from the new versions of the classical Levy, Ottaviani, and Hoffmann-Jorgensen (1974) inequalities proved by Li and Rosalsky(2013) and by using techniques developed by Hechner and Heinkel (2010), we provide a characterization of a new type of strong law of large numbers for independent and identically distributed real-valued random variables. Versions of this strong law of large numbers are also presented in a Banach space setting.

Comments: 26 pages. arXiv admin note: text overlap with arXiv:1008.4341
Categories: math.PR
Subjects: 60F15, 60F12, 60G50
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