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A Strong Law of Large Numbers for Set-Valued Random Variables in Rademacher Type P Banach Space

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2 Author(s)
Li Guan ; Dept. of Appl. Math., Beijing Univ. of Sci. & Technol. ; Shou-Mei Li

In this paper, we shall prove the strong law of large numbers (SLLN) for set-valued random variables in the sense of dH, and the basic space being Rademacher type p(1lesples2) Banach space. This kind of SLLN is the extension of classical SLLN's for Xi-valued random variables and it also implies previous SLLN's results for set-valued random variables

Published in:

Machine Learning and Cybernetics, 2006 International Conference on

Date of Conference:

13-16 Aug. 2006