Jensen's inequality for <i>g</i>-expectation, Part 2

Zengjing Chen; Reg Kulperger; Long Jiang

doi:10.1016/j.crma.2003.09.037

Probability Theory/Statistics

Jensen's inequality for g-expectation, Part 2
[L'inégalité de Jensen pour la g-espérance, 2ème partie]

Présenté par : Paul Deheuvels

Zengjing Chen ¹ ; Reg Kulperger ² ; Long Jiang ¹

¹ Department of Mathematics, Shandong University, Jinan, 250100, China
² Department of Statistical and Actuarial Science, The University of Western Ontario, London, Ontario, Canada

Comptes Rendus. Mathématique, Volume 337 (2003) no. 12, pp. 797-800.

Résumé
Abstract

Chen et al. (C. R. Acad. Sci. Paris, Ser. I 337 (11) (2003)) a étudié l'inégalité de Jensen pour la g-espérance sous la prétention que g n'est pas fonction de (t,y). Comme suite a cette étude, nous considérons les applications de l'inégalité de Jensen dans cet article.

Chen et al. (C. R. Acad. Sci. Paris, Ser. I 337 (11) (2003)) studied a Jensen's inequality for g-expectation under the assumption that g does not depend on (t,y). In this Note we consider some applications of this inequality.

Reçu le : 2003-04-20
Accepté le : 2003-09-17
Publié le : 2003-11-14

DOI : 10.1016/j.crma.2003.09.037

Affiliations des auteurs :

Zengjing Chen ¹ ; Reg Kulperger ² ; Long Jiang ¹

¹ Department of Mathematics, Shandong University, Jinan, 250100, China
² Department of Statistical and Actuarial Science, The University of Western Ontario, London, Ontario, Canada

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Zengjing Chen; Reg Kulperger; Long Jiang. Jensen's inequality for g-expectation, Part 2. Comptes Rendus. Mathématique, Volume 337 (2003) no. 12, pp. 797-800. doi : 10.1016/j.crma.2003.09.037. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.09.037/

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