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Centering Sequences with Bounded Differences

Published online by Cambridge University Press:  01 March 1997

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

Abstract

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.

Type
Research Article
Copyright
1997 Cambridge University Press

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