Virtualconference
H PDMPs in risk theory and QMC integration III
Auteurs : Thonhauser, Stefan (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
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- KRITZER, Peter, LEOBACHER, Gunther, SZÖLGYENYI, Michaela, et al. Approximation methods for piecewise deterministic Markov processes and their costs. Scandinavian actuarial journal, 2019, vol. 2019, no 4, p. 308-335. - https://doi.org/10.1080/03461238.2018.1560357
- PREISCHL, Michael, THONHAUSER, Stefan, et TICHY, Robert F. Integral equations, quasi-monte carlo methods and risk modeling. In : Contemporary Computational Mathematics-A Celebration of the 80th Birthday of Ian Sloan. Springer, Cham, 2018. p. 1051-1074. - http://dx.doi.org/10.1007/978-3-319-72456-0_47
- PAUSINGER, Florian et SVANE, Anne Marie. A Koksma–Hlawka inequality for general discrepancy systems. Journal of Complexity, 2015, vol. 31, no 6, p. 773-797. - https://doi.org/10.1016/j.jco.2015.06.002
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Résumé :
This talk will give an overview on the usage of piecewise deterministic Markov processes for risk theoretic modeling and the application of QMC integration in this framework. This class of processes includes several common risk models and their generalizations. In this field, many objects of interest such as ruin probabilities, penalty functions or expected dividend payments are typically studied by means of associated integro-differential equations. Unfortunately, only particular parameter constellations allow for closed form solutions such that in general one needs to rely on numerical methods. Instead of studying these associated integro-differential equations, we adapt the problem in a way that allows us to apply deterministic numerical integration algorithms such as QMC rules.
Keywords : risk theory; Markov process; quasi Monte-Carlo integration
Codes MSC :
60J25
- Continuous-time Markov processes on general state spaces
65R20
- Integral equations
91B30
- Risk theory, insurance
91G60
- Numerical methods in mathematical finance
Ressources complémentaires :
https://www.cirm-math.com/uploads/2/6/6/0/26605521/thonhauser_cirm_i.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 02/11/2020 Date de captation : 02/11/2020 Collection : Research School ; Probability and Statistics Durée : 00:41:42 Domaine : Probability & Statistics Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2020-11-05 Thonhauser 3.mp4 
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Informations sur la Rencontre Virtuelle
Nom de la rencontre : Jean-Morlet Chair 2020 - Research School: Quasi-Monte Carlo Methods and Applications / Chaire Jean-Morlet 2020 - Ecole: Méthode de quasi-Monte-Carlo et applicationsOrganisateurs de la rencontre : Rivat, Joël ; Thonhauser, Stefan ; Tichy, Robert Dates : 02/11/2020 - 07/11/2020 Année de la rencontre : 2020 URL Congrès : https://www.chairejeanmorlet.com/2255.html
Citation Data
DOI : 10.24350/CIRM.V.19680603Cite this video as: Thonhauser, Stefan (2020). PDMPs in risk theory and QMC integration III.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19680603 URI : http://dx.doi.org/10.24350/CIRM.V.19680603 |
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