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 .
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.
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聂赞坎.以〔0,1〕n为指标集的σ域族的相容性[J].工程数学学报,1984,1(2):52-56.
聂赞坎.关于 n维参数强鞅的随机积分[J].数学年刊,1988,3(6):753-763.
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