Kreher, Dörte; Nikeghbali, Ashkan (2015). A new kind of augmentation of filtrations suitable for a change of probability measure by a strict local martingale. Statistics and Probability Letters, 104:94-101.
In this note we introduce a new kind of augmentation of filtrations along a sequence of stopping times. This augmentation is suitable for the construction of new probability measures associated to a positive strict local martingale as done in Kardaras et al. (2015), while it is on the other hand rich enough to make classical results from stochastic analysis hold true on some stochastic interval of interest.
In this note we introduce a new kind of augmentation of filtrations along a sequence of stopping times. This augmentation is suitable for the construction of new probability measures associated to a positive strict local martingale as done in Kardaras et al. (2015), while it is on the other hand rich enough to make classical results from stochastic analysis hold true on some stochastic interval of interest.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Language: | English |
| Date: | 1 September 2015 |
| Deposited On: | 14 Jan 2016 12:11 |
| Last Modified: | 26 Jan 2022 06:23 |
| Publisher: | Elsevier |
| ISSN: | 0167-7152 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1016/j.spl.2015.05.008 |
Kreher, Dörte