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Some new concentration inequalities for the It\^o stochastic integral

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arxiv 2310.18699 v2 pith:DROX54DC submitted 2023-10-28 math.PR

classification math.PR
keywords concentrationinequalitiesintegralsomestochasticapplicationscalculusexamples
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In this paper, based on the techniques of Malliavin calculus, we provide some new concentration inequalities for the running supremum of the It\^o stochastic integral with unbounded integrands. Several applications and examples are provided as well.

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