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arxiv: 1109.4359 · v5 · pith:AQNMX3HEnew · submitted 2011-09-20 · 🧮 math.PR

Hoeffding's inequality for supermartingales

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keywords inequalityhoeffdingsupermartingalesabovebennettbernsteinboundedcase
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We give an extension of Hoeffding's inequality to the case of supermartingales with differences bounded from above. Our inequality strengthens or extends the inequalities of Freedman, Bernstein, Prohorov, Bennett and Nagaev.

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