The previsible stopping theorem of two-parameter strong martingales;
利用停线给出两指标强鞅停止的定义 。
The local martingales of Llog +L-integrals possess cadlag modifications.
可积局部鞅有正则修正。
It introduced complex martingales with continuous parameter and made a discussion for their properties.
引进连续参数复值鞅，并讨论其性质。
Moreover we investigate the relations for Markov processes, martingales and stationary processes systematically.
此外，还系统地研究了马氏过程、鞅及平稳过程之间的关系。
In this paper, the strong, law of large Numbers of B-valued random variable sequences and B-valued eventual martingales are investigated.
本文主要讨论了B值随机元序列的强大数定律与B值终鞅的强大数定律，它们是现有一些结果的补充与推广。
The quadratic variation and mixed integrals of the martingales with orthogonal increments are studied. The theorem for the existence of quadratic variation is proved.
研究了二参数正交增量鞅的平方变差和混合积分，证明了平方变差的存在定理。
A convergence theorem of the transforms is proved, and then, as an application of it, the pointwise convergence of complex measure martingales is discussed in a precise way.
并且，作为该定理的一个应用，对复测度鞅的点态收敛性作了较精细的讨论。
The four basic properties of mixed integrals for the continuous square integrable strong martingales are applied further to continuous martingales with orthogonal increments.
对连续的平方可积强鞅的混合积分的四个基本性质推广到对连续的正交增量鞅的混合积分的情形。
Topics include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion.
主题包括测度论，极限定理，包围概率和期望，耦合和斯坦的方法，鞅，马尔可夫链，更新理论，和布朗运动。
Topics include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion.
主题包括测度论，极限定理，包围概率和期望，耦合和斯坦的方法，鞅，马尔可夫链，更新理论，和布朗运动。
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