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Centering Sequences with Bounded Differences

Published online by Cambridge University Press:  01 March 1997

COLIN McDIARMID
COLIN McDIARMID
Affiliation:
Department of Statistics, University of Oxford, Oxford, UK
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Abstract

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Inequalities for martingales with bounded differences have recently proved to be very useful in combinatorics and in the mathematics of operational research and computer science. We see here that these inequalities extend in a natural way to ‘centering sequences’ with bounded differences, and thus include, for example, better inequalities for sequences related to sampling without replacement.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 6 , Issue 1 , March 1997 , pp. 79 - 86
Copyright
1997 Cambridge University Press