Convergnece Rates in the Law of Large Numbers for B-valued Random Elements
نویسنده
چکیده
Abstract The author discusses necessary and sufficient conditions of the complete convergence for sums of B-valued independent but not necessarily identically distributed r.v.′s in Banach space of type p, and obtain characterization of Banach space of type p in terms of the complete convergence. A series of classical results on iid real valued r.v.′s are extended. As application author gives the analogous results for randomly indexed sums.
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تاریخ انتشار 2009