Later, the community renamed C process as Liu process due to its importance and usefulness. It is a fuzzy counterpart of Brownian motion.
随后，由于C过程的重要性和有效性，2007年的庐山会议上，学术界把它重新命名为Liu过程，作为和布朗运动对应的模糊版本。
In chapter Ⅳ, we study forward-backward stochastic differential equations with jumps and with bounded stopping time terminal, which take values in separable Hilbert space, and are drived by cylindrical Brownian motion and Poisson point process.
第四章，研究了取值Hilbert空间的带跳正-倒向随机微分方程，其部分系数不满足李普西茨条件，并且终端时间为有界停时。
As we all known, Brownian motion is an important type of stochastic process.
我们大家都知道，布朗运动是一类很重要的随机过程。
The interest force accumulated process is modeled by standard Brownian motion and Poisson process in this article.
考虑利率随机性通过标准布朗运动和普哇松过程来描述情形下的一类破产问题。
Note that the random interest rate wave is a natural phenomenon in actual financial surrounding, hence in chapter 1, we model the interest force accumulated process by standard Brownian motion and Poisson process.
在第一章中我们假定累计利息力过程是一个受标准布朗运动和普哇松过程所影响的过程，并在此假定下讨论了破产时罚金折现期望的一些性质。
The Brownian motion velocity becomes slower when the bead size increases during the reaction process. This sensing technique is very useful for the detection of some diseases or virus.
此种感测技术在於疾病或是病毒上的感测非常有用，使用上也非常简单且价格低廉，而且是非常容易与任何的微流系统做晶片上的整合。
The impulse consumption control strategy of the problem is governed by a mixed process-geometrical Brownian motion and a Poisson process.
讨论了一类随机控制问题，其脉冲消费控制策略受控于一混合过程&几何布朗运动和泊松过程。
Brownian motion model of the fission process
裂变的布朗运动模型
On condition that price process is geometric Brownian motion, a multi-objective programming model for the portfolio investment is established by minimizing the risk and maximizing the return.
在证券的价格过程是几何布朗运动的前提下，建立了最优投资组合的多目标规划模型，使得投资收益最大和投资风险最小，并利用线性加权和法求得有效解。
This proof uses two-parameter Borel-Cantelli lemma and maximum inequality of Brownian sheet, which shows more characteristic in probability way. And the process of the proof is similar to that of single-parameter Brownian motion.
该方法使用两参数Borell-Cantelli引理和布朗单的最大值不等式，证明较有概率论方法特点，并且类似于单指标布朗运动的情形。
The Pricing Model of Equity Warrants Based on Fractional Brownian Motion and Jump Process
基于分数布朗运动和跳过程的股本权证定价模型
The concept of varying-time dimension is presented and the original fractional Brownian motion model is extended to be a locally self-similarity stochastic process.
提出了时变维数的概念，对原有分数布朗运动模型加以拓展，使其成为具有局部自相似性的随机过程。
Study the accelerated degradation model based on geometric Brownian motion process and the parameter drift of it, then make statistical analyses for the parameters and storage reliability evaluation. 3.
研究基于几何布朗运动的加速退化模型，研究该模型下的参数漂移。并对模型参数进行统计分析与贮存可靠性评估。
Comparing and analyzing the parameter estimation and data fitting under geometric Brownian motion and Brownian motion process respectively, we can conclude that describing the degradation process by geometric Brownian motion is better than that by Brownian motion process.
对比分析几何布朗运动与布朗运动过程的参数估计和数据拟合，得出利用几何布朗运动描述退化过程要优于用布朗运动描述退化过程。
By using fractional Brownian motion envelope process and additional maximum delay constrain, the algorithm overcomes the shortcoming of those packet-loss-probability based methods which can not guarantee the packet maximum delay.
该算法采用分形布朗运动包络过程对自相似业务进行分析，通过增加最大延时约束条件，克服了原先基于分组丢失概率的有效带宽计算方法不能保证业务最大延时要求的不足。
The model of European option pricing for a given stochastic differential equation driven by the Brownian motion and Poisson process is obtained and the solution of the model is given out by using Ito formula and the method of stochastic differential.
针对布朗运动和泊松过程共同驱动下股票价格的随机微分方程，利用Ito公式和随机积分的方法，得到了该形式下欧式期权定价的模型，并给出了模型的求解。
The asymptotic formula of moment generating function for occupation time of transient Brownian motion and symmetric stable process discussed by Dembo and Peres etc.
Dembo和Peres等学者讨论了非常返布朗运动和对称稳定过程的逗留时的矩母函数的极限表达式，并将所得结果用于解决逗留时的粗重分形谱问题。
Under the assumption that the price of new technology commodities follows a mixed Brownian motion/Poisson jump process, the strategic decisions of enterprise are analyzed, and the impact of the future unexpected events on the corporation decision is investigated.
分析了当新技术商品价格服从混合布朗运动/泊松跳跃过程时的企业战略决策，并着重考察了未来突发事件对企业决策的影响。
Therefore, people have proposed some self-similar traffic models to portray the characteristic of the network, the most frequently used one is Fractional Brownian Motion (FBM) process model.
因而人们提出了一些自相似流量模型来刻画网络特征，最常用的是分形布朗运动（FBM）模型。
The second model is about evaluating entry and exit investment strategies, in which output price follows a combination of a geometric Brownian motion and a jump process.
第二个模型是关于进入与退出投资决策的评价，产品价格服从几何布朗运动-跳跃过程。