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1)  Markov Property
Markov性
2)  strong Markov property
强Markov性
1.
Mainly by some important properties of Brownian Motion,such as,symmetry property,time-homogeneity and strong Markov property on a finite stopping time and so on,we obtain the exact expression for the distributions of two kinds of maximum value.
该文研究了从x出发的正漂移Brownian Motion的极值问题,给出了关于这种随机过程的两种极大值的定义,并主要利用Brownian Motion的一些重要性质,比如正交不变性、时空齐次性及在有限停时上的强Markov性等,获得了两种极大值的分布函数的精确表达式。
2.
Using strong Markov property, we obtain moderate estimates for the distributions of the maximum excursions before the first hitting the ball, before the last exit from the ball and from the first hitting to the last exit, which improve the corresponding results in [3] ,[4].
本文研究了暂留一致椭圆扩散过程,利用强Markov性,求出了在首中此球之前、末离此球之前和在首中此球与末离此球之间过程的几类极大游程的分布的估计,推广了文献[1]、[3]中相关的结果。
3.
We utilize the strong Markov property to obtain moderate estimates for the distributions of the minimum excursion and three maximum excursions: before the first hitting time, before the last exit time and from the first hitting to the last exit.
利用势的基本公式,将布朗运动首中时的结果推广到一致椭圆扩散过程,结合强Markov性,我们分别求出了一致椭圆扩散过程在首中球之前、未离球之前和首中此球与未离此球之间的几类极大游程的分布的估计,同时也给出了极小游程的分布估计。
3)  hidden markovity
隐Markov性
4)  Markov performance potentials
Markov性能势
1.
Based on the theory of Markov performance potentials, this paper studies a performance optimization algorithm for Markov control processes.
Markov性能势理论基础上 ,研究了Markov控制过程的性能优化算法 。
2.
Motivated by the needs of on-line optimization of real-word engineering systems, this paper, based on the theory of Markov performance potentials, studies a simulation optimization algorithm for Markov processes controlled by parameterized randomized stationary policies.
为适应不同实际工程系统在线优化的需要,本文在Markov性能势理论基础上,研究了Markov 控制过程在参数化随机平稳策略作用下的仿真优化算法。
5)  Markov character
Markov性质
6)  two-parameter Markov properties
两参数Markov性
1.
The martingale processes and many kinds of two-parameter Markov properties are investigated.
本文定义了一类两参数广义Poisson过程,即广义Poisson单,并得到了它的局部鞅性和各种两参数Markov性
补充资料:连续性与非连续性(见间断性与不间断性)


连续性与非连续性(见间断性与不间断性)
continuity and discontinuity

11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt,n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
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