1) Infinite dimensional Brown motions
无穷维Brown运动
2) Countably Many Brownian Motions
无穷可数个Brown运动
1.
Ito Isometry of Countably Many Brownian Motions
无穷可数个Brown运动的Ito等距
3) k-dimensional Brownian motion
k-维Brown运动
1.
In this paper, we study the functional sample path properties for k-dimensional Brownian motion, and by the method of establishing large deviation formulas in topology of high-dimensional functions’s space generated by uniform norm, obtain the functional laws of iterated logarithm for k-dimensional Brownian motion.
本文研究了k-维Brown运动的泛函样本轨道性质。
4) d-dimensional fractional Brownian motion
d维分数Brown运动
1.
This paper obtains functional modulus of continuity for d-dimensional fractional Brownian motion in Holder norm via estimating large deviation probabilities for d-dimensional fractional Brownian motion in Holder norm.
通过估计d维分数Brown运动在Holder范数下的大偏差概率,得到了分数Brown运动的连续模性质。
5) Brownian motion
Brown运动
1.
On the definition of Brownian motion;
关于Brown运动的定义
2.
Based on time variance effect of the assets credit rating migration of CreditMetrics and the stochastic process Brownian motion,the asset nonsystematic factor of bank is determined and the mathematical relationship between credit risk and time is established.
根据CreditMetrics信用风险迁移矩阵的时间效应和随机过程中的Brown运动来反映银行贷款风险的非系统因素,确定信贷资产风险随时间变动的数学关系;结合因子模型与Markowitz的均值-协方差模型,建立基于存量与增量组合累计风险的银行贷款决策模型。
3.
This paper gives the decompositions on Brownian Motion under three different conditions of given final value,low bound and low and up bounds by the methods of comparing their infinitesimal operators and constructing martingale,respectively,and their explicit proofs were offered.
分别利用比较无穷小算子和构造鞅的方法给出了Brown运动在给定终值、下界以及上、下界三种不同条件下的分解,并给出了具体的证明。
6) Brown motion
Brown运动
1.
Ruin probability for a Poisson-Geometric risk model by Brown motion;
带Brown运动的Poisson-Geometric风险模型的破产概率
2.
On Strong Markov Property of Brown Motion and Its Apllication;
Brown运动的强马氏性及应用
3.
In this paper ,We discuss the lag increments of d-dimension Brown motion,and obtain the responsive results which are similar to Brown motion.
讨论了d -维Brown运动的滞后增量 ,得到了类似于一维Brown运动的相应结
补充资料：弱无穷维空间
弱无穷维空间
weakly infinite-dimensional space
弱无穷维空间〔we刹y词训te~‘n犯‘田‘匆，ce;cJIa606ec劝。e，。oMepooen一ocTpaHc，」 一个拓扑空间(topologjcal sPace)X，使得对其闭子集偶对的任意无穷系(A，，B‘)， A，自B，=沪，i=1，2，…，存在(A与B;之间的)分划(Partition)C，，满足自c=必.不是弱无穷维的无穷维空间称为强无穷维(strongly inl训te dinle比ional)空间.弱无穷维空间也称为A弱无穷维(A一weakly沉肋ited由℃nsional)空间.若在上述定义中，进一步要求c，的某有限子族有空的交集，就得出S弱无穷维空间(S一weak】y顾-nite .dinlensio耐sPace)的概念.【补注】除上述外，A弱就是AneKcaHJIpoB弱(Akk-san山{。vweakly)，S弱就是CM即HoB弱(Snurnovweakly).还有一种已经弃之不用的概念Hurewicz弱无穷维空间(Hurewicz一wea脚infin讹一山住r朋io耐space)，见综述[AI]， 为避免“无穷维空间”这个词的混乱，空间X要求可度量化，见【A2].
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条