王生喜. N指标随机过程的停止[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2003, (1).DOI:
N指标随机过程的停止
摘要
定义了 N指标集 [0
1 ]n 上停点的过去及 Fouque下端
证明了 g( F4)条件等价于 S鞅的停止仍为 S鞅
也等价于 S鞅的加强 Doob停止定理 .
Abstract
In this paper
the past of a stopping point is defined.The infimum of two stopping points is obtained and the stopping for N-Parameter martingale is defined.It proves that every stoped N-Parameter S-martingale at a stopping point is still a S-martingale if the filtrations {F\-t} sttisfies the condition \$g(F\-4)\$ and they are equivalent to the stranger Doob stopping theorem.