Voir la notice de l'article provenant de la source Numdam
In this Note, our aim is to obtain Cramér's upper bound for capacities induced by sublinear expectations.
Dans cette Note, notre objet est d'obtenir la borne supérieure de Cramér pour les capacités induites par des espérances sous-linéaires.
Hu, Feng 1
@article{CRMATH_2010__348_17-18_1009_0, author = {Hu, Feng}, title = {On {Cram\'er's} theorem for capacities}, journal = {Comptes Rendus. Math\'ematique}, pages = {1009--1013}, publisher = {Elsevier}, volume = {348}, number = {17-18}, year = {2010}, doi = {10.1016/j.crma.2010.07.033}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2010.07.033/} }
TY - JOUR AU - Hu, Feng TI - On Cramér's theorem for capacities JO - Comptes Rendus. Mathématique PY - 2010 SP - 1009 EP - 1013 VL - 348 IS - 17-18 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2010.07.033/ DO - 10.1016/j.crma.2010.07.033 LA - en ID - CRMATH_2010__348_17-18_1009_0 ER -
Hu, Feng. On Cramér's theorem for capacities. Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 1009-1013. doi : 10.1016/j.crma.2010.07.033. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2010.07.033/
[1] Coherent measures of risk, Mathematical Finance, Volume 9 (1999) no. 3, pp. 203-228
[2] Large Deviations Techniques and Applications, Springer-Verlag, New York–Berlin–Heidelberg, 1998
[3] Convex measures of risk and trading constraints, Finance and Stochastics, Volume 6 (2002) no. 4, pp. 429-447
[4] Dynamic convex risk measures (Szegö, G., ed.), New Risk Measures for the 21st Century, John Wiley & Sons, 2004, pp. 227-248
[5] G-Brownian motion and dynamic risk measure under volatility uncertainty, 19 Nov 2007 | arXiv
[6] A new central limit theorem under sublinear expectations, 18 Mar 2008 | arXiv
[7] Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations, Science in China Series A: Mathematics, Volume 52 (2009) no. 7, pp. 1391-1411
Cité par Sources :
☆ This work has been supported by the National Basic Program of China (973 Program) (No. 2007CB814901) and the National Natural Science Foundation of China (No. 10771119).