A general downcrossing inequality for g-martingales

被引:32
作者
Chen, ZJ [1 ]
Peng, SG [1 ]
机构
[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
基金
中国国家自然科学基金;
关键词
BSDEs; g-expectation; g-martingale; downcrossing inequality;
D O I
10.1016/S0167-7152(99)00102-9
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we get a general downcrossing inequality for g-martingales introduced via a class of backwards stochastic differential equations (shortly BSDEs). (C) 2000 Elsevier Science B.V. All rights reserved. MSC: primary 60H10.
引用
收藏
页码:169 / 175
页数:7
相关论文
共 4 条
[1]  
Doob J., 1983, CLASSICAL POTENTIAL
[2]   Backward stochastic differential equations in finance [J].
El Karoui, N ;
Peng, S ;
Quenez, MC .
MATHEMATICAL FINANCE, 1997, 7 (01) :1-71
[3]  
Peng S., 1997, Pitman research notes in mathematics series, V364, P141
[4]   Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type [J].
Peng, SG .
PROBABILITY THEORY AND RELATED FIELDS, 1999, 113 (04) :473-499