A characterization of parallelepipeds related to weak derivatives
نویسنده
چکیده
We characterize in this paper parallelepipeds in R within the family of all convex bodies by a property of special measures on its boundary. We show that these measures are related to weak derivatives (in the sense of [5] and [8]) of convex-valued functions. The results can be applied (see [9]) to derive a generalization of a theorem of Lehmann (see [4]) on the comparison of uniform location experiments.
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تاریخ انتشار 2003