摘要
Ｂ值渐近鞅是Ｂ值鞅的重要推广，它保持了鞅的一些最基本性质，然而对Ｂ值渐近鞅的局部收敛性很少有文献论及。本文利用Ｂ值渐近鞅的Ｄｏｏｂ 分解，对Ｂ值渐近鞅的局部收敛性作些探讨，得到了Ｂ值渐近鞅局部收敛性的几个结果，它们是鞅的有关结论的推广与改进。
B valued Asymptotic Martingles are important extensions of B valued martingles and they reserve some basis properties of martingales.But local convergence of B valued asymptotic martingales if seldem touched.In this paper,with the Doob decomposition of B valued asymptotic martingales, we discussed local convergence of asymptotic martingales. some results of local convergence of asymptotic martingales are obtained.
出处
《数学杂志》
CSCD
1999年第3期345-348,共4页
Journal of Mathematics
关键词
B值渐近鞅
B值鞅
局部收敛性
DOOB分解
B值鞅
B valued of asymptotic martingales, B valued of martingales. Local convergences, Doob decomposition.
