2017Stochastics and DynamicsRequires access

A characterization of the set of local martingale measures

Abdelkarem Berkaoui

Open publisher page 3 citations

Abstract

We generalize the results of [1] to continuous time case by stating necessary and sufficient conditions on a set of probability measures to be the set of local martingale measures for a vector valued, locally bounded and adapted process.

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What this paper is about

We generalize the results of [1] to continuous time case by stating necessary and sufficient conditions on a set of probability measures to be the set of local martingale measures for a vector valued, locally bounded and adapted process.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We generalize the results of [1] to continuous time case by stating necessary and sufficient conditions on a set of probability measures to be the set of local martingale measures for a vector valued, locally bounded and adapted process.

Key concepts: Mathematics, Martingale (probability theory), Local martingale, Martingale difference sequence, Doob's martingale inequality, Bounded function, Characterization (materials science), Probability measure

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