A counterexample on the existence of the L1-median

Carlos Antonio León and Jean-Claude Massé

Statistics & Probability Letters, 1992, vol. 13, issue 2, 117-120

Abstract: On the Banach space of real sequences converging to 0, it is shown that a probability measure may not possess an L1-median inside the space. This puts into better perspective previous results of existence of L1-medians obtained by Valadier and Kemperman.

Keywords: L1-median; Banach; space; dual; space; and; reflexivity; separable; space; the; space; c0. (search for similar items in EconPapers)
Date: 1992
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