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New deviation inequalities for martingales with bounded increments

Emmanuel Rio

Stochastic Processes and their Applications, 2017, vol. 127, issue 5, 1637-1648

Abstract: In this paper we give new deviation inequalities for martingales with increments bounded from above. Our results are based on an improvement of the results of Bennett (1968) for random variables bounded from above.

Keywords: Hoeffding’s inequality; Bennett’s inequality; Martingales with bounded increments; Freedman’s inequality; Deviation inequalities; Bounded differences inequality (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spa.2016.09.003

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