理论概率

First, the steady-state probability equations are obtained by Markov process method.

首先，利用马尔科夫过程理论建立了系统稳态概率满足的方程组。

The small probability event principle is an elementary theory,which usually is applied in probability theory and mathematical statistics.

小概率原理是概率论与数理统计中的一个具有实际应用意义的基本理论。

Firstly, we select features by using CHI distribution. Secondly, we cluster the selected features by using an improved method which based on density. In virtue of the sort distribution information, we reduce the number of features twice and the information lost few. Lastly, based on the sort of texts, we use the distributing of probability to express text with matrix. By using matrix norm, we realized the text categorization.

首先通过分布对特征项进行选择，然后使用一种改进的基于密度聚类方法对选择后的特征项进行聚类，借助类别分布信息，在尽量减少信息缺失的前提下先后两次对文本特征维数进行了压缩；在基于类别概率分布的模式下实现文本的矩阵表示，借助矩阵理论进行文本分类。

In this paper, the theory, algorithm, and experiment of automatic object detection and tracking are studied in depth. It is firstly pointed out that the essential of Mean Shift method is a special Newton-Gaussian method. A new method named Fast Mean Shift is established to stretch the conservative step of Mean Shift method. The convergence and validity of this new method are proved in theory. And it is also proved that the convergence speed of Fast Mean Shift is faster than that of Mean Shift. The contrast experiments of searching the maximum possibility density of random of data sets in plane and 3D space are done. The results show that this new method can reduce the iterations greatly. A new object tracking method based on Fast Mean Shift is built to improve the object tracking performance, which is shown in the face tracking experiment with the tennis sequence provided by the Ohio State University, and the car tracking experiment with the car sequence provided by Kalsruhe University. The face trcking experiment with highly noised images show that the object tracking method based on Fast Mean Shift has strong anti-jamming ability. A new fast color object detection technology based on characteristic color is established, which use characteristic color distribution to compute the characteristic color vector of any area in an image quickly. With the high performance search method, the fast object detection is achieved. At last, using object tracker based on Fast Mean Shift and color object detector based on characteristic color with the Kalman filter, PID controller, searial communication and other technologies, automatic object detection and tracking system with control system is built. The availability and anti-jamming ability of this system are verified by some object detection and tracking tests in different scenes.

本文对目标自动识别与跟踪进行了理论、计算、试验三方面的深入研究，主要包括：首次指出了目标跟踪技术中常用的均值迁移方法的本质为一种特殊的高斯-牛顿方法，改进了均值迁移方法步长取值保守的弱点，建立了快速均值迁移方法，证明了该方法的收敛性、有效性以及收敛速度优于均值迁移方法；进行了平面和3维随机分布数据集的最大概率密度搜索对比试验，试验结果表明，快速均值迁移方法大大减少了迭代次数；建立了基于快速均值迁移的目标跟踪方法，利用俄亥俄州立大学提供的乒乓球序列图像和卡斯鲁厄大学的汽车序列图像，对人脸和汽车目标跟踪性能分别进行了对比试验，并进行了高噪声人脸图像目标跟踪试验，结果表明，基于快速均值迁移的目标跟踪方法有效提高了目标跟踪性能，具有很强的抗干扰能力；建立了一种新型彩色目标自动识别方法，采用特征色彩分布函数实现了对任意图像区域特征色彩矢量的快速计算，建立了高效的搜索方法，实现了彩色目标的快速识别；将基于快速均值迁移方法的目标跟踪方法、基于特征色彩的目标识别方法与卡尔曼滤波、PID控制、串行通讯等技术结合，建立了带有控制系统的快速目标自动识别与跟踪系统，并在不同场景下进行了目标自动识别与跟踪试验，验证了快速目标自动识别与跟踪系统的有效性和抗干扰能力。

In theory, the algorithm converges to the global minimum point with probability one under suitable condition.

在理论上，证明了该算法以概率为1收敛到全局最优解。

Due to the fact that the method based on local linearization is usually lost in local minimum values and the optimization solution is dependent on the selection of initial solution,the standard genetic algorithm has po...

该算法利用拟网格法初始种群和综合交叉策略，克服了早熟收敛现象，从而提高了遗传寻优的效率。理论模型反演与其它方法比较，结果说明遗传算法具有不依赖初始模型，不容易陷入局部极小，多点多路径概率搜索，以及隐含并行性等优点。

He contributed to statistical mechanics by his development of the quantum theory of a monatomic gas and he has also accomplished valuable work in connection with atomic transition probabilities and relativistic cosmology.

他写给他的统计力学的发展，量子理论，他的气也monatomic有价值的工作就完成了过渡原子相对论和宇宙学的概率。

We obtain the risk process involved in this model,the statistical properties of the surplus process,and statistical features of the claim numbers and the probability distribution of the total amount of compensation.The three types of business of the risk model is given when the number of claims obey Poisson distribution and negative binomial distribution.We make a comparison between the risk model built in the thesis and the classic risk models with independent claim numbers when the amount of claims obey Weillbull distribution and Exponential distribution.The results have a good practical significance.

其次，考虑不同险种间的相互关系，建立了一种含有主副理赔的风险分析模型；借助随机过程和经典风险理论，对该风险模型所涉及的风险过程、盈余过程的统计特性以及理赔总额的概率分布、数字特征和矩母函数进行解析研究，给出了主理赔次数服从泊松分布和负二项分布的这种风险模型的具体实例，并在理赔额变量服从Weillbul分布和Exponential分布的情况下，把文中所建风险模型和理赔次数相互独立的风险模型作了比较，所得结果有很好的现实意义。

Furthermore, the information dissemination of several topologies is analyzed theoretically, and the statistical properties of canonical topologies and varying neighborhood topology are analyzed from graph theory.

针对传统粒子群优化算法中全连接型拓扑和环形拓扑的特点，引入了一种粒子群信息共享方式——多簇结构，进而基于多簇结构提出了动态可变拓扑策略以协调动态概率粒子群优化算法的勘探和开采能力，并从理论上分析了最优信息在各种拓扑中的传播，同时从图论角度分析了几种经典拓扑以及动态可变多簇结构的统计特性。

By systematically analyzing the single particle level and the occupation probability near the Fermi surface,and the rule of nuclear particle number deviations with proton numbers for N =8,20,28,50,82,126 neutron chains within the relativistic mean-field model with BCS theory,we have discussed the stability of the shell structure for the traditional neutron magic in the whole range of nuclear spectrum from neutron line to proton line,and predicted that traditional neutron magic number effect shall possibly disappear only in light neutron-rich nuclei.

在考虑了BCS理论的相对论平均场模型框架内，通过系统研究 N =8，20，28，50，82和126六条同中子素链中每个元素费米面附近的单粒子能级间隔、粒子数占有概率比以及原子核体系的粒子数偏离随质子数的变化规律，讨论了传统中子幻数的壳结构在从中子滴线区到质子滴线区整个核谱上的稳定性，预言只有在轻核的丰中子区域，传统的中子幻数效应才可能消失，并把计算结果和最近的文献报道作了比较。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。