期刊文献+

RELATIVE ENTROPY AND LARGE DEVIATIONS UNDER SUBLINEAR EXPECTATIONS 被引量:6

RELATIVE ENTROPY AND LARGE DEVIATIONS UNDER SUBLINEAR EXPECTATIONS
下载PDF
导出
摘要 We give a definition of relative entropy with respect to a sublinear expectation and establish large deviation principle for the empirical measures for independent random variables under the sublinear expectation. We give a definition of relative entropy with respect to a sublinear expectation and establish large deviation principle for the empirical measures for independent random variables under the sublinear expectation.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第5期1826-1834,共9页 数学物理学报(B辑英文版)
基金 supported by the National Natural Science Foundation of China(11171262) the Specialized Research Fund for the Doctoral Program of Higher Education (200804860048)
关键词 sublinear expectation relative entropy large deviation empirical measure sublinear expectation; relative entropy; large deviation; empirical measure
  • 相关文献

参考文献17

  • 1Chen Z J. Strong laws of large numbers for capacities, arXiv:lO06.0749, 2010.
  • 2Chen M F. From Markov Chains to Non-equilibrium Particle Systems. 2nd ed. Singapore: World Scientific, 2004.
  • 3Dembo J, Zeitouni O. Lrge Deviations Techniques and Applications. 2nd ed. New York: Springer, 1998.
  • 4denis L, Martini C. A theoretical framework for the pricing of contingent claims in the presence of model ncertainty. Ann Appl Probab, 2006, 16:827-852.
  • 5Denis L, Hu M S, Peng S G. Function spaces and capacity related to a sublinear expecation: application to G-Brownian motion paths. Potential Analysis, 2011, 34:139 161.
  • 6Gao F Q, Jiang H. Large deviations for stochastic differential equations driven by G-Brownian motion. Stoch Proc Appl, 2010, 120:2212-2240.
  • 7Gao F Q, Xu M Z. Large deviations and moderate deviations for independent random variables under sublinear expectations (in Chinese). Sci Sin Math, 2011, 41:337-352.
  • 8Gozlan N, L6onard C. A large deviation approach to some transportation cost inequalities. Probab Theory Relat Fields, 2007, 139:235 283.
  • 9Maccheroni F, Marinacci M. A strong law of large numbers for capacities. Ann Probab 2005, 33:1171 1178.
  • 10Marinacci M. Limit laws for non-additive probabilities and their frequentist interpretation. J Econ Theory, 1999, 84:145-195.

同被引文献26

引证文献6

二级引证文献75

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部