Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
397819 | International Journal of Approximate Reasoning | 2007 | 12 Pages |
Abstract
In this paper, we shall prove some properties of set-valued asymptotic martingale (amart for short) and provide an optional sampling theorem. We shall also prove a quasi-Risez decomposition theorem for set-valued amarts. Finally we shall discuss the existence of selections of set-valued amarts and give a representation theorem of compact convex set-valued amarts.
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