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All issues Volume 18 (2014) ESAIM: PS, 18 (2014) 829-853 References
Free Access
Issue
ESAIM: PS
Volume 18, 2014
Page(s) 829 - 853
DOI https://doi.org/10.1051/ps/2014003
Published online 29 October 2014
  1. M. Barlow, Study of a filtration expanded to include an honest time. Probab. Theory Relat. Fields 44 (1978) 307–323. [Google Scholar]
  2. M. Barlow, M. Emery, F. Knight, S. Song and M. Yor, Autour d’un théorème de Tsirelson sur des filtrations browniennes et non browniennes. Séminaire de Probabilité, XXXII. Springer-Verlag Berlin (1998). [Google Scholar]
  3. M. Barlow and J. Pitman and M. Yor, On Walsh’s Brownian motion. Séminaire de Probabilité, XXIII. Springer-Verlag Berlin (1989) [Google Scholar]
  4. A. Bélanger and S. Shreve and D. Wong, A unified model for credit derivatives. Working paper (2002). [Google Scholar]
  5. F. Biagini and A. Cretarola, Local risk-minimization for defaultable claims with recovery process. Appl. Math. Optim. 65 (2012) 293–314. [CrossRef] [MathSciNet] [Google Scholar]
  6. T. Bielecki and M. Jeanblanc and M. Rutkowski, Credit Risk Modelling. Osaka University Press (2009). [Google Scholar]
  7. P. Billingsley, Convergence of probability measures. John Wiley & Sons (1968). [Google Scholar]
  8. P. Brémaud and M. Yor, Changes of filtrations and of probability measures. Prob. Theory Relat. Fields 4 (1978) 269–295. [Google Scholar]
  9. G. Callegaro and M. Jeanblanc and B. Zargari, Carthaginian enlargement of filtrations. ESAIM: PS 17 (2013) 550–566. [CrossRef] [EDP Sciences] [Google Scholar]
  10. L. Chaumont and M. Yor, Exercises in probability: a guide tour from measure theory to random processes, via conditioning. Cambridge University Press (2009). [Google Scholar]
  11. C. Dellacherie and M. Emery, Filtrations indexed by ordinals; application to a conjecture of S. Laurent. Working paper (2012). [Google Scholar]
  12. C. Dellacherie and P. Meyer, Probabilités et potentiel Chapitres I à IV. Hermann Paris (1975). [Google Scholar]
  13. C. Dellacherie and P. Meyer, Probabilités et potentiel Chapitres XVII à XXIV. Hermann Paris (1992). [Google Scholar]
  14. N. El. Karoui and M. Jeanblanc and Y. Jiao, What happens after a default: the conditional density approach. Stoch. Process. Appl. 120 (2010) 1011–1032. [CrossRef] [Google Scholar]
  15. M. Emery and W. Schachermayer, A remark on Tsirelson’s stochastic differential equation. Séminaire de Probabilités XXXIII, Springer-Verlag Berlin (1999) 291–303. [Google Scholar]
  16. M. Emery and W. Schachermayer, On Vershik’s standardness criterion and Tsirelson’s notion of cosiness. Séminaire de Probabilités XXXV. Springer (2001) 265–305. [Google Scholar]
  17. C. Fontana and M. Jeanblanc and S. Song, On arbitrages arising with honest times. Finance Stoch. 18 (2014) 515–543. [CrossRef] [MathSciNet] [Google Scholar]
  18. R. Handel On the exchange of intersection and supremum of σ-fields in filtering theory. Israel J. Math. 192 (2012) 763. [Google Scholar]
  19. S.W. He and J.G. Wang and J.A. Yan, Semimartingale Theory And Stochastic Calculus. Science Press CRC Press Inc (1992). [Google Scholar]
  20. M. Jeanblanc and M. Rutkowski, Modeling default risk: an overview Math. Finance: Theory and Practice. Fudan University High Education Press (1999). [Google Scholar]
  21. M. Jeanblanc and S. Song, An explicit model of default time with given survival probability. Stoch. Process. Appl. 121 (2010) 1678–1704. [CrossRef] [Google Scholar]
  22. M. Jeanblanc and S. Song, Random times with given survival probability and their F-martingale decomposition formula. Stoch. Process. Appl. 121 (2010) 1389–1410. [CrossRef] [Google Scholar]
  23. M. Jeanblanc and S. Song, Martingale representation theorem in progressively enlarged filtrations (2012). Preprint arXiv:1203.1447. [Google Scholar]
  24. M. Jeanblanc and Y. LeCam, Reduced form modelling for credit risk (2008). Available on: defaultrisk.com [Google Scholar]
  25. T. Jeulin Semi-martingales et grossissement d’une filtration, vol. 833 of Lect. Notes Math. Springer (1980). [Google Scholar]
  26. T. Jeulin and M. Yor, Grossissement d’une filtration and semi-martingales: formules explicites. Séminaire de Probabilités XII (1978) 78–97. [Google Scholar]
  27. Y. Jiao, Multiple defaults and contagion risks with global and default-free information. Working paper (2010). [Google Scholar]
  28. I. Kharroubi and T. Lim, Progressive enlargement of filtrations and backward SDEs with jumps. Working paper (2011). [Google Scholar]
  29. S. Kusuoka, A remark on default risk models. Adv. Math. Econ. 1 (1999) 69–82. [CrossRef] [Google Scholar]
  30. A. Nikeghbali and E. Platen, On honest times in financial modeling (2008). Preprint arXiv:0808.2892. [Google Scholar]
  31. H. Pham, Stochastic control under progressive enlargement of filtrations and applications to multiple defaults risk management. Stoch. Process. Appl. 120 (2010) 1795–1820. [CrossRef] [Google Scholar]
  32. Ph. Protter, Stochastic integration and differential equations, 2nd edition. Springer (2004). [Google Scholar]
  33. L. Rogers and D. Williams, Diffusions, Markov Processes, and Martingales, vol. 1, Foundations. John Wiley and Sons (1994). [Google Scholar]
  34. S. Song, Grossissement d’une filtration et problèmes connexes. Thesis Université Paris IV (1987). [Google Scholar]
  35. S. Song, Drift operator in a market affected by the expansion of information flow: a case study (2012). Preprint arXiv:1207.1662v1. [Google Scholar]
  36. S. Song, Local solution method for the problem of enlargement of filtration (2013). Preprint arXiv:1302.2862. [Google Scholar]
  37. C. Stricker and M. Yor, Calcul stochastique dépendant d’un paramètre. Probab. Theory Relat. Fields 45 (1978) 109–133. [Google Scholar]
  38. H. von Weizsäcker, Exchanging the order of taking suprema and countable intersections of σ-algebras. Ann. Inst. Henri Poincaré Section B, Tome 19 1 (1983) 91–100. [Google Scholar]
  39. D. Wu, Dynamized copulas and applications to counterparty credit risk. Ph.D. Thesis, University of Evry (2012). [Google Scholar]
  40. K. Yano and M. Yor, Around Tsirelson’s equation, or: The evolution process may not explain everything (2010). Preprint arXiv:0906.3442. [Google Scholar]

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