Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF SET-VALUED RANDOM VARIABLES IN RADEMACHER TYPE P BANACH SPACE
Li GuanShoumei LiHiroshi Inoue
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2008 年 67 巻 3 号 p. 377-392

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In this paper, we shall prove some strong laws of large numbers(SLLN’s) for weighted sums of set-valued random variables in the sense of Hausdorff metric dH for which the basic space being Rademacher type p (1 ≤ p ≤ 2) Banach space. We partially follow the results of classical SLLN’s for X-valued random variables in [2], extending it to more general set-valued case.
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© 2008 International Society for Mathematical Sciences
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