Comptes Rendus
Probabilités
Upper bounds for superquantiles of martingales
Emmanuel Rio1 
1 Université de Versailles, Laboratoire de mathématiques, UMR 8100 CNRS, Bâtiment Fermat, 45 Avenue des Etats-Unis, F-78035 Versailles, France.
Comptes Rendus. Mathématique, Volume 359 (2021) no. 7, pp. 813-822.

Let (M n ) n be a discrete martingale in L p for p in ]1,2] or p=3. In this note, we give upper bounds on the superquantiles of M n and the quantiles and superquantiles of M n * =max(M 0 ,M 1 ,...,M n ).

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DOI : 10.5802/crmath.207
Classification : 60E15
Emmanuel Rio 1

1 Université de Versailles, Laboratoire de mathématiques, UMR 8100 CNRS, Bâtiment Fermat, 45 Avenue des Etats-Unis, F-78035 Versailles, France.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Upper bounds for superquantiles of martingales},
     journal = {Comptes Rendus. Math\'ematique},
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     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {7},
     year = {2021},
     doi = {10.5802/crmath.207},
     zbl = {07398735},
     language = {en},
}
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Emmanuel Rio. Upper bounds for superquantiles of martingales. Comptes Rendus. Mathématique, Volume 359 (2021) no. 7, pp. 813-822. doi : 10.5802/crmath.207. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.207/

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