随机函数

The derivative 〓 t, x (t of the V function along a solution to a determinate ordinary differential system is changed to be 〓V t, x (t for a stochastic ordinary differential system.

众所周知，用Lyapunov直接法来研究随机常微系统的稳定性与研究确定性常微系统的稳定性有许多类似之处，表现在只需要用〓Vt，x(t代替常微系统中V函数沿解的导数〓t，x

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。

Furthermore a definition of the Dirichlet problem with vibrational boundary for the diffusion equation is given.

lder连续函数。本文解决了上述扩散方程的随机Dirichlet问题的解在S_3内存在性及唯一性问题。

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。

This paper proves that the random Dirichlet series of infinite order do not have almost surely arbitrary finite order deficient function on the right-half plane.

证明了右半平面上无限级随机Dirichlet级数几乎必然无任意有限级的亏函数。

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

Wang and VanRzin presents a class of smooth weight function estimators for discrete distribution.

Wang和VanRzin提出了离散分布随机变量的光滑权函数的估计类。

Finally, favored by the article "Stochastic differential utility" written by Duffle and Epstein, we define the notion of Stochastic differential utility under Maos conditions. Similar to common utility functions, they preserve many good characters such as continuance, monotonousness, risk aversion and so on.

最后，受Duffie和Epstein的"Stochastic differential utility"一文的启发，在毛氏条件下定义了随机微分效用，它保持了一般效用函数的性质：单调性，连续性，风险厌恶以等。

It is analyzed which is the characteristics of time series , the research tool and the eigenfunction of time series. ARIMA model system is analyzed and discussed.

介绍了时间序列及其相关的基本概念，分析了随机时间序列的特性、研究中的方法性工具以及时间序列的特征函数，分析并讨论了ARIMA模型体系。

Secondly,the deterministic equivalence problem of theprobabilistic inequality is discussed,and the expression formula of thedeterministic equivalences for several commonly used probabilitydistributions,such as normal,exponent,uniform,β and Γ distributions etc.,are given for the linear function with respect to random variables,which solvesthe problem of the deterministic equivalence for the linear-function-class.

其次，本章讨论了概率不等式的确定性等价问题，就随机变量的线性函数类，给出了与几种常用的概率分布，如正态分布、指数分布、均匀分布、β分布、Γ分布等等，相关的确定性等价问题。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。