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arxiv: 1309.4623 · v2 · pith:M72WDL4Enew · submitted 2013-09-18 · 🧮 math.PR

Supermartingales as Radon-Nikodym densities and related measure extensions

classification 🧮 math.PR
keywords measuresadditiveassociatedassumptionscertaincountablydensitiesexistence
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Certain countably and finitely additive measures can be associated to a given nonnegative supermartingale. Under weak assumptions on the underlying probability space, existence and (non)uniqueness results for such measures are proven.

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