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The martingale property in the context of stochastic differential equations

Ruf, J; (2015) The martingale property in the context of stochastic differential equations. Electronic Communications in Probability , 20 , Article 34. 10.1214/ECP.v20-3449. Green open access

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Abstract

This note studies the martingale property of a nonnegative, continuous local martingale Z, given as a nonanticipative functional of a solution to a stochastic differential equation. The condition states that Z is a (uniformly integrable) martingale if and only if an integral test of a related functional holds.

Type: Article
Title: The martingale property in the context of stochastic differential equations
Open access status: An open access version is available from UCL Discovery
DOI: 10.1214/ECP.v20-3449
Publisher version: http://dx.doi.org/10.1214/ECP.v20-3449
Language: English
Additional information: This work is licensed under a Creative Commons Attribution 3.0 License (http://creativecommons.org/licenses/by/3.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/1467162
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