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arxiv: 1107.3365 · v1 · pith:JURHGSLCnew · submitted 2011-07-18 · 🧮 math.ST · stat.TH

A note on a maximal Bernstein inequality

classification 🧮 math.ST stat.TH
keywords inequalitymaximalbernsteinbernstein-typeformgeneralholdsnote
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We show somewhat unexpectedly that whenever a general Bernstein-type maximal inequality holds for partial sums of a sequence of random variables, a maximal form of the inequality is also valid.

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