A canonical setting and separating times for continuous local martingales
The notion of a separating time for a pair of measures on a filtered space is helpful for studying problems of (local) absolute continuity and singularity of measures. In this paper, we describe a certain canonical setting for continuous local martingales (abbreviated below as CLMs) and find an explicit form of separating times for CLMs in this setting.
Year of publication: |
2009
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Authors: | Engelbert, H.-J. ; Urusov, M.A. ; Walther, M. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 119.2009, 4, p. 1039-1054
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Publisher: |
Elsevier |
Keywords: | Continuous local martingales Brownian motion Dambis-Dubins-Schwarz theorem Canonical setting Pure continuous local martingales Absolute continuity and singularity Separating times |
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