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基于g-期望的Hlder不等式 被引量:3

Hlder's inequality of g-expectation
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摘要 给出了当倒向随机微分方程的生成元满足次可加性和正齐次性时,由倒向随机微分方程定义的g-期望的Ho¨lder不等式. Hoelder's inequality of g-expectation is obtained when the generator of corresponding backward stochastic differential equation is subadditive and positive homogeneous.
作者 释恒璐
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2006年第4期28-31,共4页 Journal of Shandong University(Natural Science)
关键词 倒向随机微分方程 G-期望 条件G-期望 比较定理 backward stochastic differential equation g-expectation conditional g-expectation comparison theorem
  • 相关文献

参考文献6

  • 1E Pardoux,S Peng.Adapted solution of a backward stochastic differential equationt[J].Systems & Control Letters,1990,14:55~61
  • 2S Peng.Backward stochastic differential equations and related g-expectation[J].Pitman Research Notes in Math,1997,364:141~159.
  • 3P Briand,F Ioquet,Y Hu,et al.A converse comparison theorem for BSDEs and related properties of g-expectation[J].Electon Comm Probab,2000,5:101~117.
  • 4Z Chen,R Kulperger,L Jiang.Jensen's inequality for g-expectation[J].C R Acad Sci Ser I,2003,337:725~730.
  • 5江龙.基于g-期望的关于二元函数的Jensen不等式[J].山东大学学报(理学版),2003,38(5):13-17. 被引量:9
  • 6El Karoui,S Peng,M C Quenez.Backward stochastic differential equations in finance[J].Math Finance,1997,7:1~71.

二级参考文献7

  • 1[1]Peng S. BSDE and related g-expectations[A]. El Karoui N, Mazliak L. Pitman Research Notes in Mathematics Series, No.364, Backward Stochastic Differential Equations [C]. Harlow: Addison Welsey Longman, 1997. 141~159.
  • 2[2]Briand P, Coquet F, Hu Y, Mémin J, Peng S. A converse comparison theorem for BSDEs and related properties of g-expectation[J]. Electon. Comm. Probab, 2000, 5: 101~117.
  • 3[3]Coquet F, Hu Y, Mémin J, Peng S. Filtration consistent nonlinear expectations and related g-expectation[J], Probab. Theory & Related Fields, 2002,123: 1~27.
  • 4[4]Chen Z, Epstein L. Ambiguity, risk and asset returns in continuous time[J]. Econometrica, 2002, 70:1403~1443.
  • 5[5]Pardoux E, Peng S. Adapted solution of a backward stochastic differential equation[J]. Systems Control Letters, 1990,14: 55~61.
  • 6[6]Peng S. A General Dynamic Programing Principle and Hamilton-Jacobi-Bellman Equation[J]. Stochastics, 1992, 38(2):119~134.
  • 7[7]El Karoui N, Peng S, Quence M C. Backward Stochastic Differential Equation in Finance[J]. Math. Finance 1997,7(1):1~71.

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