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arxiv: 1612.08038 · v1 · pith:AENT6L6Ynew · submitted 2016-12-23 · 🧮 math.PR

Piecewise constant local martingales with bounded numbers of jumps

classification 🧮 math.PR
keywords constantintegrablejumpslocalmartingalepiecewiseboundedboundedly
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A piecewise constant local martingale $M$ with boundedly many jumps is a uniformly integrable martingale if and only if $M_\infty^-$ is integrable.

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