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g-期望的一种Kolmogorov不等式 被引量:3

A Kolmogorov's inequality for g-expectation
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摘要 借助于当生成元g满足限制条件时的g-方差比较定理,得到了g-期望的一种Kolmogorov不等式表达形式。结果表明它类似于古典Kolmogorov不等式的形式,推广了古典Kolmogorov不等式。 With the comparison theorem for g-variance of restricted conditions on operator g, a Kolmogorov' s inequality for g-expectation was obtained. The result showed that this inequality is similar to the classical Kolmogorov' s inequality, and can extend the classical Kolmogorov' s inequality.
作者 付静 郝涛
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2009年第2期79-83,共5页 Journal of Shandong University(Natural Science)
关键词 倒向随机微分方程 G-期望 g-方差 Kolmogomv不等式 backward stochastic differential equation g-expectation g-variance Kolmogorov's inequality
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参考文献8

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同被引文献12

  • 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
  • 2江龙.倒向随机微分方程生成元的表示定理及其应用(英文)[J].应用概率统计,2005,21(1):53-60. 被引量:5
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  • 5Peng, S. Backward stochastic differential equations and related g-expectations[A].Harlow:Addison Welsey Longman,1997.141–159.
  • 6Briand, P,Coquet, F,Hu, Y,M′emin,J. Peng,S. A converse comparison theorem for backward stochastic differential equations and related properties of g-expectation[J].Electronic Communications In Probability,2000.101–117.
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  • 10Coquet, F,Hu, Y,M′emin, J,Peng,S. Filtration-consistent nonlinear expectations and related g-expectations[J].Probability Theory and Related Fields,2002.1–27.

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