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Can time-homogeneous diffusions produce any distribution?
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Ekström, Erik, Hobson, David (David G.), Janson, Svante and Tysk, Johan (2011) Can time-homogeneous diffusions produce any distribution? Probability Theory and Related Fields . ISSN 0178-8051
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Official URL: http://dx.doi.org/10.1007/s00440-011-0405-0
Abstract
Given a centred distribution, can one find a time-homogeneous martingale diffusion starting at zero which has the given law at time 1? We answer the question affirmatively if generalized diffusions are allowed.
| Item Type: | Submitted Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Statistics |
| Library of Congress Subject Headings (LCSH): | Diffusion processes, Distribution (Probability theory) |
| Journal or Publication Title: | Probability Theory and Related Fields |
| Publisher: | Springer |
| ISSN: | 0178-8051 |
| Date: | December 2011 |
| Identification Number: | 10.1007/s00440-011-0405-0 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Description: | Online first |
| References: | 1. Bredon, G.E.: Topology and Geometry. Springer, New York (1993) 2. Cox, A., Hobson, D.: Local martingales, bubbles and option prices. Financ. Stoch. 9, 477–492 (2005) 3. Cox, A., Hobson, D., Obłój, J.: Time homogeneous diffusions with a given marginal at a random time. ESAIM Probab. Stat. arXiv:0912.1719 (special issue in honour of Marc Yor, to appear) 4. Delbaen, F., Shirakawa, H.: No arbitrage condition for positive diffusion price processes. Asia Pac. Financ. Mark. 9, 159–168 (2002) 5. Dupire, B.: Pricing with a smile. Risk 7, 18–20 (1994) 6. Ekström, E., Hobson, D.: Recovering a time-homogeneous stock price process from perpetual option prices. Ann. Appl. Probab. 21(3), 1102–1135 (2011) 7. Ekström, E., Tysk, J.: Bubbles, convexity and the Black–Scholes equation. Ann. Appl. Probab. 19(4), 1369–1384 (2009) 8. Gut, A.: Probability: A Graduate Course. Springer, New York (2005, corrected 2nd printing 2007) 9. Jiang, L., Tao, Y.: Identifying the volatility of underlying assets from option prices. Inverse Prob. 17, 137–155 (2001) 10. Kallenberg, O.: Foundations of Modern Probability, 2nd edn. Springer, New York (2002) 11. Knight, F.B.: Characterization of the Levy measures of inverse local times of gap diffusion. In: Seminar on Stochastic Processes. pp. 53–78. Birkhäuser, Boston (1981) 12. Kotani, S., Watanabe, S.: Krein’s spectral theory of strings and generalized diffusion processes. In: Functional analysis inMarkov processes. Lecture Notes in Mathematics 923, pp. 235–259. Springer, Berlin (1982) 13. Monroe, I.: Using additive functionals to embed preassigned distributions in symmetric stable processes. Trans. Am. Math. Soc. 163, 131–146 (1972) 14. Mörters, P., Peres, Y.: Brownian Motion. Cambridge University Press, Cambridge (2010) 15. Revuz, D., Yor, M.: Continuous Martingales and Brownian Motion, 3rd edn. Springer, Berlin (1999) |
| URI: | http://wrap.warwick.ac.uk/id/eprint/41081 |
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