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Characterization of Measures with a Convex Matrix-k-Range

机译:具有凸矩阵k范围的测度的刻画

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Let mu vector = (mu (sub i),...,mu (sub n) be a vector measure on a measurable space (Omega, F) such that each mu(sub i) is finite. Necessary and sufficient conditions on mu vector are given such that the matrix-k-range is convex. This will lead to conditions on mu vector such that the partition-range is convex. The results are generalizations of those of Dvoretzky, Wald and Wolfowitz, and Dubins and Spanier.

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