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Abstract

Using the expectation of a particular random set, we present a multivariate extension of a characterization theorem involving extreme order statistics.

AMS subject classifications (1980)  Primary - 60D05 - secondary - 52A22 - 60B11 - 62G30

Key words  Abstract Wiener space - convex hull - extreme order statistic - order statistics - random sets - Wiener measure

Supported in part by National Science Foundation grant DMS 8603944.

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