Open Access
Issue |
ESAIM: PS
Volume 28, 2024
|
|
---|---|---|
Page(s) | 110 - 131 | |
DOI | https://doi.org/10.1051/ps/2024001 | |
Published online | 15 April 2024 |
- D. Lando, Credit Risk Modeling: Theory and Applications. Princeton University Press (2004). [CrossRef] [Google Scholar]
- P. Protter, Stochastic integration and differential equations, Vol. 21, 2nd edn. Springer-Verlag, Berlin, Heidelberg (2005). [CrossRef] [Google Scholar]
- T. Bielecki, A. Cousin, S. Crépey and A. Herbertsson, In search of a grand unifying theory. Creditflux Newsl. Anal. (2013) 20–21. [Google Scholar]
- Y. Jiao and S. Li, Generalized density approach in progressive enlargement of filtrations. Electron. J. Probab. 20 (2015) 1–21. [CrossRef] [Google Scholar]
- S.N. Ethier and T.G. Kurtz, Markov Processes: Characterization and Convergence. Wiley (1986). [CrossRef] [Google Scholar]
- X. Guo and Y. Zeng, Intensity process and compensator: a new filtration expansion approach and the Jeulin-Yor Theorem. Ann. Appl. Probab. 18 (2008) 120–142. [MathSciNet] [Google Scholar]
- Y. Zeng, Compensators of Stopping Times. Ph.D. thesis, Cornell University Mathematics Department (2006). [Google Scholar]
- S. Janson, S. M’Baye and P. Protter, Absolutely continuous compensators. Int. J. Theor. Appl. Finance 14 (2011) 335–351. [CrossRef] [MathSciNet] [Google Scholar]
- A.W. Marshall and I. Olkin, A multivariate exponential distribution. J. Am. Stat. Assoc. 62 (1967) 30–44. [CrossRef] [Google Scholar]
- D.R. Cox and P.A.W. Lewis, Multivariate Point Processes. Berkeley Symp. Math. Stat. Probab. (1972) 401–448. [Google Scholar]
- P.J. Diggle and R.K. Milne, Bivariate Cox processes: some models for bivariate spatial point patterns. J. Roy. Stat. Soc. B (Methodological) 45 (1983) 11–21. [CrossRef] [Google Scholar]
- T.C. Brown, B.W. Silverman and R.K. Milne, A class of two-type point processes. Zeitsch. Wahrscheinlichkeitstheorie Verwandte Gebiete 58 (1981) 299–308. [CrossRef] [Google Scholar]
- W. Li, Probability of default and default correlations. J. Risk Financial Manag. 9 (2016) 2016. [Google Scholar]
- T.R. Bielecki, M. Jeanblanc and A.D. Sezer, Joint densities of hitting times for finite state Markov processes. Turkish J. Math. 42 (2018) 586–608. [CrossRef] [MathSciNet] [Google Scholar]
- K. Giesecke, A Simple Exponential Model for Dependent Defaults. J. Fixed Income 13 (2003) 74–83. [CrossRef] [Google Scholar]
- S. Crépey, T.R. Bielecki and D. Brigo, Counterparty Risk and Funding: A Tale of Two Puzzles. Chapman & Hall (2014). [CrossRef] [Google Scholar]
- Y. Sun, R. Mendoza-Arriaga and V. Linetsky, Marshall-–Olkin distributions, subordinators, efficient simulation, and applications to credit risk. Adv. Appl. Probab. 49 (2017) 481–514. [CrossRef] [MathSciNet] [Google Scholar]
- D. Brigo, J.-F. Mai and M. Scherer, Markov multi-variate survival indicators for default simulation as a new characterization of the Marshall–Olkin law. Stat. Probab. Lett. 114 (2016) 60–66. [CrossRef] [Google Scholar]
- F. Lindskog and A.J. McNeil, Common Poisson shock models: applications to insurance and credit risk modelling. ASTIN Bull. 33 (2003) 209–238. [CrossRef] [MathSciNet] [Google Scholar]
- D. Gueye and M. Jeanblanc, Generalized Cox model for default times. Working paper, June 2021. [Google Scholar]
- D. Lando, On Cox processes and credit risky securities. Rev. Derivat. Res. 2 (1998) 99–120. [Google Scholar]
- A. Aksamit and M. Jeanblanc, Enlargement of Filtration with Finance in View. SpringerBriefs in Quantitative Finance, 1st edn. Springer, Cham (2017). [CrossRef] [Google Scholar]
- T. Aven, A theorem for determining the compensator of a counting process. Scand. J. Stat. 12 (1985) 69–72. [Google Scholar]
- R. Jarrow, P. Protter and A. Quintos, Computing the probability of a financial market failure: a new measure of systemic risk. Ann. Oper. Res. (2022). [Google Scholar]
- E.J. Gumbel, Bivariate exponential distributions. J. Am. Stat. Assoc. 55 (1960) 698–707. [CrossRef] [Google Scholar]
- W. Young, On multiple integration by parts and the second theorem of the mean. Proc. Lond. Math. Soc. 2 (1916) 273–293. [Google Scholar]
- T. Britton and E. Pardoux, Stochastic Epidemic Models. Springer International Publishing, Cham (2019) 5–19, Chapter 1. [CrossRef] [Google Scholar]
- J. Swaine, E. Brown, J.S. Lee, A. Mirza and M. Kelly, How a collapsed pool deck could have caused a Florida condo building to fall. The Washington Post, August 12, 2021. [Google Scholar]
- H. Petroski, What lessons will be learned from the Florida Condo Collapse? The deadly catastrophic failure has put a lens on building maintenance. Am,. Scientist 109 (2021) 278–281. [CrossRef] [Google Scholar]
- B. Walpole, Quest for answers begins following Florida building collapse. Am. Soc. Civil Eng., Civil Eng. Source (2021). [Google Scholar]
- G. Chen, E.C.W. Chen III, D. Hoffman, R. Luna and A. Sevi, Analysis of the interstate 10 twin bridges collapse during hurricane Katrina. Science and the Storms – The USGS Response to the Hurricanes of 2005 (2007) 35–42. [Google Scholar]
- A.B. Hanson and M. Brown, Cause of Montana Amtrak derailment that killed 3, injured dozens still under investigation. Great Falls Tribune, October 27, 2021. [Google Scholar]
- H. Chernoff, A Measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations. Ann. Math. Stat. 23 (1952) 493–507. [CrossRef] [Google Scholar]
- M. Chiani, D. Dardari and M.K. Simon, New exponential bounds and approximations for the computation of error probability in fading channels. IEEE Trans. Wireless Commun. 2 (2003) 840–845. [CrossRef] [Google Scholar]
- G.K. Karagiannidis and A.S. Lioumpas, An improved approximation for the Gaussian Q-function. IEEE Commun. Lett. 11 (2007) 644–646. [CrossRef] [Google Scholar]
- I.M. Tanash and T. Riihonen, Improved coefficients for the Karagiannidis-Lioumpas approximations and bounds to the Gaussian Q-function. IEEE Commun. Lett. 25 (2021) 1468–1471. [CrossRef] [Google Scholar]
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