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