Open Access
VOL. 7 | 2010 Qualitative robustness and weak continuity: the extreme unction?
Chapter Author(s) Ivan Mizera
Editor(s) J. Antoch, M. Hušková, P.K. Sen
Inst. Math. Stat. (IMS) Collect., 2010: 169-181 (2010) DOI: 10.1214/10-IMSCOLL717

Abstract

We formulate versions of Hampel’s theorem and its converse, establishing the connection between qualitative robustness and weak continuity in full generality and under minimal assumptions.

Information

Published: 1 January 2010
First available in Project Euclid: 29 November 2010

MathSciNet: MR2808377

Digital Object Identifier: 10.1214/10-IMSCOLL717

Subjects:
Primary: 62B99 , 62F35
Secondary: 60B10 , 60K35

Keywords: consistency , Qualitative robustness , weak continuity

Rights: Copyright © 2010, Institute of Mathematical Statistics

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