CONVERGENCE RATES IN THE LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS |
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Authors: | Liang Hanying Wang Li |
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Affiliation: | Liang Hanying,Wang Li Department of Applied Mathematics,Tongji University,Shanghai 200092,China |
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Abstract: | The author discusses necessary and sufficient conditions of the complete con- vergence for sums of B-valued independent but not necessarily identically distributed r.v.'s in Banach space of type p, and obtains 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 ex- tended. As application authors give the analogous results for randomly indexed sums. |
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Keywords: | Convergence rate random element Banach space of type p slowly varying function |
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