A counterexample on the existence of the L1-median

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.

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Year of publication:	1992
Authors:	León, Carlos Antonio ; Massé, Jean-Claude
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 13.1992, 2, p. 117-120
Publisher:	Elsevier
Keywords:	L1-median Banach space dual space and reflexivity separable space the space c0

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005223914