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

2012/10/23 by Li, Deli, Qi, Yongcheng, Rosalsky, Andrew
#60G50 #FOS: Mathematics #Primary 60F15 #Probability (math.PR) #Secondary 60F12

paper · doi:10.48550/arxiv.1210.6336

Abstract

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.

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