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G-期望框架下G-凸函数的性质 被引量：1

Properties of G-convex function under the framework of G-expectations
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摘要 证明了在G-期望框架下,函数是G-凸函数等价于函数是经典的凸函数。给出了G-期望的Jensen不等式在G-期望估值方面的应用。 It is proved that, under the framework of G-expectations, a G-convex function is equivalent to a classical convex function. Applications of Jensen＇ s inequalities for G-expectations in numerical estimate are given.
作者 王伟
机构地区 山东大学数学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2009年第4期43-46,共4页 Journal of Shandong University(Natural Science)
基金 国家重点基础研究发展计划(973)资助项目(2007CB814901)
关键词 G-期望 G-凸函数 JENSEN不等式 G-expectation G-convex function Jensen＇s inequality
分类号 O211.6 [理学—概率论与数理统计]
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参考文献8

  • 1CHEN Zengjing, KULPERGER R, JIANG Long. Jensen's inequality for g-expectation, part 1[J]. C R Acad Sci Paris Ser I, 2003, 337 : 725-730. 被引量：1
  • 2CHEN Zengjing, KULPERGER R, JIANG Long. Jensen's inequality for g-expectation: part 2[J]. C R Acad Sci Paris Ser I, 2003, 337 : 797-800. 被引量：1
  • 3JIANG LONG,CHEN ZENGJING School of Mathematics and System Sciences, Shandong University, Jinan 250100, China. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, Jiangsu,China. E-mail: jianglong@math.sdu.edu.cn School of Mathematics and System Sciences, Shandong University, Jinan 250100, China..ON JENSEN'S INEQUALITY FOR g-EXPECTATION[J].Chinese Annals of Mathematics,Series B,2004,25(3):401-412. 被引量：26
  • 4HU Ying. On Jensen's inequality for g-expectation and for nonlinear expectation[J]. Archiv der Mathematik, 2005, 85:572-580. 被引量：1
  • 5JIA Guangyan, PENG Shige. Jensen' s inequality for g-convex fuction under g-expectation[EB/OL]. (2008-00-04)[2008-08-15]. http://arxiv.org/abs/0800. 0373. 被引量：1
  • 6PENG Shige. G-Expectation, G-Brownian motion and related stochastic calculus of Ito's type[C]// BENTH F E, NUNNO G D, LINDSTRΦM T, et al. Stochastic Analysis and Applications. Berlin, Heidelberg: Springer-verlag, 2007: 541-567. 被引量：1
  • 7PENG Shige. Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation[J]. Stochastic Processes and Applications, 2008, 12 (118) : 2223-2253. 被引量：1
  • 8PENG Shige.NONLINEAR EXPECTATIONS AND NONLINEAR MARKOV CHAINS[J].Chinese Annals of Mathematics,Series B,2005,26(2):159-184. 被引量：31

二级参考文献52

  • 1[1]Peng, S., BSDE and related g-expectations, Pitman Research Notes in Mathematics Series, 364, 1997,141-159. 被引量：1
  • 2[2]Chen, Z. & Epstein, L., Ambiguity, risk and asset returns in continuous time, Econometrica, 70(2002),1403-1443. 被引量：1
  • 3[3]Briand, P., Coquet, F., Hu, Y., Memin, J. & Peng, S., A converse comparison theorem for BSDEs and related properties of g-expectation, Electon. Comm. Probab., 5(2000), 101-117. 被引量：1
  • 4[4]Coquet, F., Hu, Y., Memin, J. & Peng, S., Filtration consistent nonlinear expectations and related g-expectation, Probab. Theory Related Fields, 123(2002), 1-27. 被引量：1
  • 5[5]Chen, Z. & Peng, S., A general downcrossing inequality for g-martingales, Statistics and Probability Letters, 46(2000), 169-175. 被引量：1
  • 6[6]Pardoux, E. & Peng, S., Adapted solution of a backward stochastic differential equation, Systems Control Letters, 14(1990), 55-61. 被引量：1
  • 7[7]Peng, S., A generalized dynamic programming principle and Hamilton-Jacobi-Bellman equation,Stochastics, 38:2(1992), 119-134. 被引量：1
  • 8[8]El Karoui, N., Peng, S. & Quenez, M. C., Backward stochastic differential equations in finance, Math.Finance, 7:1(1997), 1-71. 被引量：1
  • 9Allais, M., La psychologie de l'home rationnel devant le risque: critique des postulats et axiomes de l'cole Amricaine, Econometrica, 21:4(1953), 503-546. Translated and reprinted in Allais and Hagen,1979. 被引量：1
  • 10Artzner, P., Delbaen, F., Eber, J. M. & Heath, D., Coherent measures of risk, Math. Finance, 9(1999),203-228. 被引量：1

共引文献55

同被引文献7

  • 1JIANG LONG,CHEN ZENGJING School of Mathematics and System Sciences, Shandong University, Jinan 250100, China. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, Jiangsu,China. E-mail: jianglong@math.sdu.edu.cn School of Mathematics and System Sciences, Shandong University, Jinan 250100, China..ON JENSEN'S INEQUALITY FOR g-EXPECTATION[J].Chinese Annals of Mathematics,Series B,2004,25(3):401-412. 被引量：26
  • 2PENG Shige. BSDE and related g-expectations [M ]//E1 KAROUI, MAZLIAK L. Pitman Research Notes in Mathematics Se- ries(364) : Backward Stochastic Differential Equations. Harlow: Addison Walsey Longman, 1997: 141-159. 被引量：1
  • 3CHEN Zengjing, KULPERGER R, JIANG Long. Jensen's inequality for g-expectation, part I [J]. C R Acad Sci Paris S6r I , 2003, 337:725-730. 被引量：1
  • 4CHEN Zengjing, KULPERGER R, JIANG Long. Jensen's inequality for g-expectation, part 1I [J]. C R Acad Sci Paris S6r I , 2003, 337:797-800. 被引量：1
  • 5PENG Shige. G-expectation, G-Brownian motion and related stochastic calculus of It6's type [ C ]// The Abel Symposium 2005 on Stochastic Analysis and Applications. New York: Springer-Verlag, 2006: 541-567. 被引量：1
  • 6PENG Shige. A new central limit theorem under sublinear expectations [ EB/OL ]. [ 2008-03-18 ] [2010-04-16 ]. http :// arX- iv: 0803. 2656vl Emath. PR]. 被引量：1
  • 7PENG Shige. Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation[ J ]. Stochastic Processes and Applications, 2008, 118 (12) :2223-2253. 被引量：1

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山东大学学报（理学版）
2009年 第4期

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