查询词典 stochastic

This kind of equation is from diffusion process with jumps and has important application in stochastic control and finance mathematics.

本文研究一类带有非局部积分项的完全非线性椭圆型方程粘性解的比较原理，这类方程源自带跳跃的扩散过程，在随机控制，金融数学中有广泛而重要的应用。

Chapter three mainly study the extendible option under the diffusion process of the stochastic interest rate.

第三章主要是在随机利率、标的资产的波动率为时间的连续函数的情形下研究可延期权。

We first consider the stochastic Dirichlet problem and from which we derive a system of integro-differential equations and the boundary conditions satisfied by the function.

首先，通过研究随机Dirichlet问题得到了Gerber-Shiu函数满足的积分-微分方程及边值条件。

However, the fluctuation of fixed interest rates affects the insurance company greatly and can lead to disasterous results. It is necessary to establish a model which can eliminate the effect of interest fluctuation and also can study the loss risk of insurer at the stochastic interest.

在传统的精算定价模型中，都采用固定利率来计算净保费及净保费责任准备金，这样利率的波动可能会导致保险公司利润的减少，甚至会给其带来无法预计的风险。

You can apply the genetic algorithm to solve a variety of optimization problems that are not well suited for standard optimization algorithms, including problems in which the objective function is discontinuous, nondifferentiable, stochastic, or highly nonlinear.

你可以应用遗传算法来解决一些不适合标准最优化算法的优化问题。这些问题包括：目标函数不连续，不可微分，随机，或者高度非线性

Our numerical results show that the end-results of the image set of the discontinuous border of the mapping function forms a stochastic web.

类耗散性可能使稳定的混沌轨道转变为"混沌类瞬态"，并最终被椭圆岛（可称为"规则类吸引子"）捕获。

If there exists no regular quasi-attractor, the stochastic web, which is formed by the end-results of the image set of the discontinuous border and immersed in a part of the phase space, dominates the system behavior so that iterations are confined inside a part of the phase space in a"chaotic quasi-attractor"(Our research group has discovered the situation where regular and chaotic quasi-attractors coexist in a quasi-dissipative system, but this thesis will not mention it).

当类耗散系统的相空间不存在任何规则类吸引子时，这种由边界象集的归宿构成、浸入局部相空间的随机网将主宰系统，从而出现约束在局部相空间中的"混沌类吸引子"上的运动（本课题组已发现类耗散系统中规则类吸引子与混沌类吸引子共存的情况，本文未作报道）。

The main objective of this dissertation was to develop methodologies with capability of engineering application for simulating flow in fractured rock using discontinuum models. The study work includes three parts. In the first part, numerical methodology of three-dimensional discrete fracture network model casing on hybrid BEM-channel was presented, and the technique for improve the model's computing efficiency was also studied. Firstly in this part, computer simulation methodology based on the Baechermodel for generating network of discrete fractures was presented, which includes the follow details: probability distributions of fracture density,orientation, trace length, size, and aperture and estimation of their statistical parameters; stochastic models of fracture network; Monte-Carlo's simulation method; numerical simulation procedure and technicality.

给出了离散裂隙网络模型所依据的基本假定；发展了基于Baecher模型的离散裂隙网络计算机随机生成技术：详细地推导了单裂隙渗流和多裂隙相交网络渗流的边界单元法公式，发展了离散裂隙网络中稳态渗流的边界元数值技术，并且讨论了相关的具体数值技术细节，如角点的处理方法，单元的自动剖分等：描述了混合边界元—管流模拟方法及其数值实现；研究了裂隙网络的简化方法，并针对裂隙网络边界元法的特点提出了一种改进的分块三角分解法。

We also use the idea of the stochastic discount factor and GMM method to conduct a solid test.

文章还利用随机贴现因子的思想，用GMM方法做了稳健性检验。

Assessing specification errors in stochastic discount factor models.

评估随机贴现因子模型的规格错误。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。