理论概率

Methods for feature space discretization based cluster algorithm and class conditional probability distribution estimation are proposed.

首先针对应用贝叶斯决策理论时难以估计类条件概率密度函数的问题，提出了特征空间离散化及相应的类条件概率分布的估计方法。

This paper tries to discuss the probability, conditional probability and conditional expectation on MV-algebra of fuzzy sets.

为此，本文试图建立一套较完备的关于MV-代数中的概率、条件概率和条件期望的理论体系。

Confidence coefficient is generated by the nodes based on the data sensed, and represents the authenticity and importance of the data. A backoff algorithm and a transmission filter based on the confidence coefficient have been designed.

本文从理论上分析了路由空洞在规则部署和随机部署情况下的存在概率，导出了随机部署情况下随机建立的路径遭遇到路由空洞的概率，并提出了一种带有退避改进方法的贪婪转发策略。

As to the risk model with random premium rate, we concerned with discrete random variable, continuous random variable and general random variable. We derive the formula of ruin probability, the extreme during the total duration of negative surplus and the joint distribution of the surplus immediately before ruin and the deficit at ruin.

对于保费率为随机变量的一类风险模型，本文就离散的随机变量、连续的随机变量、一般的随机变量三个方面进行讨论，运用概率方法和风险理论的方法推导出破产概率、末离前最大盈余分布、破产前瞬时盈余与破产赤字的联合分布等精算量分布的一般公式。

Their application of convex body and geometry probability is the important theory in integral geometry and convex geometry, One can study the geometric invariants and geometric probability and other issues.

它们在凸体和几何概率中的应用是积分几何和凸几何的重要理论，通过它们可以研究几何不变量和几何概率等相关问题。

In Chapter 1, the present conditions of numerical methods for the Dirichlet problem, the probability theory which connects with the Dirichlet problem, and the essence and characteristics of the probabilistic numerical method are summarized.

第一章综述了Dirichlet问题数值解的现状、与Dirichlet问题密切联系的概率理论以及概率数值方法的实质和特点。

In this paper, by using Brown Motion, the formula at the crucial point of probabilistic computing method is proved theoretically, and a probabilistic computing method for the three-dimensional Dirichlet problem is given.

本文运用布朗运动，对概率算法中的一个关键公式给予了理论上的证明，并对三维Dirichlet问题提出了概率算法。

At the same time, the practical implementation of evolutionary algorithm is given in order that evolutionary algorithm is introduced into vector quantizer. In the fourth section the asymptotic theory of vector quantization is studied. Then the partial distortion theorem that when codebook size is large enough, each region of the partition makes an equal contribution to the distortion for an optimal quantizer, which is the key part of vector quantizer is obtained. Finally, the competitive learning algorithm based on the partial distortion theorem is proposed, which introduces the subdistortion of each region into the distortion measure to assure that the subdistortion of each region approximately equals to each other.

第四章详细研究矢量量化的渐近理论，然后得出了矢量量化器设计的核心部分——部分失真定理，当码本尺寸足够大且输出矢量的渐近概率密度与输入矢量的概率密度的幂成比例时，最优量化器划分的各个区域对该量化器的平均误差产生相同的影响，最后提出基于部分失真定理的竞争学习算法，它通过在误差测度中，引入与各区域相关的子误差以保证各区域的子误差近似相等，该算法实现较为简单，在一定程度上确保全局最优。

This article estimates the extreme loss distribution with extreme value theory, estimates the shape parameter with HKKP estimator, which is unbiased to small sample data, selects the right threshold by selecting smallest mean square error of the estimated cumulative distribution function and empirical cumulative distribution function and based on the extreme value theory method, this article estimates the extreme loss distribution and the p-percentile operational loss under certain believe range for Chinese commercial banks, then calculates the operational risk supervise capital.

本文利用极值理论对中国商业银行操作损失极端值分布进行估计，针对尾参数估计的来用传统Hill佑计对小样本数据容易产生偏倚的情况，提出了采用Hill佑计的改进―小样本无偏估计的HKKP佑计来估计操作损失的尾参数，针对由于阈值确定不准确导致结果偏差大的情况，采用最小化估计的累计概率分布与经验累计概率分布平均平方误差的方法确定较精确的阈值，估计出给定置信水平下操作风险损失的分位数，从而使得中国商业银行操作风险监管资本的测定成为可能。

The theory and the implementation of the genetic algorithms are discussed in detail. The question on how to choose the crossover probability, the mutation probability, the scale of population and the numbers of the generation is discussed. Then, the mathematics model of the optimal design is established. Exerting the finite element of elastic base beam and using FORTRAN to write the GAFORTRAN program. The program includes the common genetic algorithms and the modified genetic algorithms.

详细介绍了遗传算法的理论和实现技术，探讨了交叉概率、变异概率、群体规模、进化代数等变量的选取问题，建立起了基于遗传算法的深基坑支护结构设计的优化模型，结合弹性地基梁有限元法，利用FORTRAN语言编制了GAFORTRAN优化程序，程序中包括普通遗传算法和改进遗传算法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷