Supermartingales as Radon-Nikodym densities and related measure extensions
Perkowski, N. & Ruf, J.
(2015).
Supermartingales as Radon-Nikodym densities and related measure extensions.
Annals of Probability,
43(6), 3133-3176.
https://doi.org/10.1214/14-AOP956
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.
| Item Type | Article |
|---|---|
| Copyright holders | © 2015 Institute of Mathematical Statistics |
| Departments | LSE > Academic Departments > Mathematics |
| DOI | 10.1214/14-AOP956 |
| Date Deposited | 11 Oct 2017 |
| URI | https://researchonline.lse.ac.uk/id/eprint/84579 |
Explore Further
- http://www.lse.ac.uk/Mathematics/people/Johannes-Ruf.aspx (Author)
- https://www.scopus.com/pages/publications/84951160067 (Scopus publication)
- http://imstat.org/aop/ (Official URL)
ORCID: https://orcid.org/0000-0003-3616-2194