查询词典 classical theory of probability

Then we introduced transition probability kernel for the hidden state process and the confederated process. In the deep research, we found that some similar parameters of state transition probability, observation symbol probability and initial state probability were involved in the transition probability kernel of the confederated process. So we can complete the training of traditional HMM parameters by training the transition probability kernel of the confederated process. To our surprised, we got the consistency of transition probability kernel of the confederated process. Meanwhile, we proved the rationality and reliability of the parameters estimation equations under the classical B-W algorithm.

然后对联合过程的转移概率核展开研究，我们根据过程的取值空间的不同，引入了隐状态空间和联合过程空间上的转移概率核，研究中发现在联合空间上的转移概率核包含了在一般的隐马氏模型的参数估计中的所有类似的三组参数(转移概率，观测概率和初始概率)，因此对传统的隐马氏模型的参数训练我们可以通过联合过程的转移概率核的训练来完成，更令我们惊奇的是联合过程的转移概率核还具有一致性；同时对于Baum提出的经典的B-W算法给出的关于模型的参数重估计公式，证明了它的合理性和可靠性，即模型经过重估计后的参数能够满足给定的单观测序列在模型下发生的概率是单调递增的。

The specifically used learning-theories are Thorndike"s, error-tried learning-theory Pavlov"s conditioning learning-theory, Watson"s learning-theory, Guthrie"s neighboring learning-theory, Estes"s sampling learning-theory, Skinner"s manipulating learning-theory, Wertheimer"s learning-theory, Wulf"s learning-theory, Lewin"s surroundings cognizing learning-theory, Piaget"s constructing learning-theory, Bruner"s cognizing structure learning-theory, Ausubel"s assimilating cognize learning-theory, processing information learning-theory, Tolman"s signal learning-theory, Grgne"s accumulating learning-theory, Bandura"s society learning-theory, Rogers"s learning-theory.

具体所应用的学习理论包括：桑代克试误学习理论；巴甫洛夫条件作用学习理论；华生学习理论；格思里邻近学习理论；埃斯蒂斯抽样学习理论；斯金纳操作学习理论；韦特墨学习理论；沃尔夫学习理论；勒温认知一场学习理论；皮亚杰建构学习理论；布鲁纳认知结构学习理论；奥苏贝尔认知同化学习理论；信息加工学习理论；托尔曼信号学习理论；加涅积累学习理论；班杜拉社会学习理论和罗杰斯学习理论。

Based on probability theory, a method for describing and calculating the collision probability between rendezvous and docking vehicle and debris is presented, and the method involves quantitatively analyzing the collision probability using quasi maximum instantaneous collision probability and total collision probability. The method calculating the indexes is developed, and the input required to perform a calculation includes the respective state vectors, position error covariance matrices and physical sizes of objects involved.(3) Two methods to analyze relative trajectory safety between chaser and target are developed, which are 3-sigma ellipsoid based methodology and collision probability based methodology.

1分析了交会对接各阶段面临的主要轨迹安全威胁，阐述了被动和主动安全策略、目标器的交会对接控制区域等保证交会安全的措施；(2)基于概率思想发展了线性和非线性运动情况下飞行器与空间碎片的碰撞判断方法，提出采用总碰撞概率和拟最大瞬时碰撞概率来综合描述飞行器与空间碎片的碰撞危险程度，推导了通过飞行器和空间碎片各自的状态矢量、位置误差协方差矩阵以及形状尺寸来计算碰撞概率的公式；(3)提出了两种分析追踪器和目标器之间相对轨迹安全的新方法：基于3σ椭球的轨迹安全分析方法和基于碰撞概率的轨迹安全分析方法。

Chapter 1 we introduce the risk process with positive and negative risk sums,show the background of the risk process. Chapter 2 we show the integral and differential equation of birth probability,give the Lundberg inequation that the ruin probability satisfies with martingale approach,then discuss then ruin probability of the risk process with two dependent positive and negative risk sums,study how the dependence impacts on the ruin probability. Chapter 3 we compare the concrete examples by numbers,and makes further comparison between the two results coming out of independency and dependency,with the purpose of narrating their respective impacts on the probability of ruin probability.

本文第一章引入含正、负风险和的风险模型，介绍风险过程的实际背景；第二章给出生存概率Φ所满足的积分-微分方程，利用典型鞅方法给出破产概率Ψ满足的Lundberg不等式，并且讨论两个相关正、负风险和模型的破产概率，研究相关性对破产概率的影响；第三章对具体实例给出数值比较，进一步把相关性和独立性两种情形的结果进行比较，说明对破产概率的影响。

Events,Operation and Relation of Sets, Classical Probability, Geometrical Probability , Statistical Stability of a Frequency, Axioms of Probability, Conditional Probability, Total Probability Theorem, Bayes' Rule,Independent Events,Independent Repeated Trials, One Dimensional Random Variables, Discrete Random Variables, Distribution Function of a Random Variables , Continuous Random Variables, Normal Distribution, Distribution of a Function of a Random Variable, Multidimensional Random Variables, Joint Distribution Function, Marginal Distribution Function,Discrete Two—Dimensional Random Variables,Continuous Two—Dimensional Random Variables, Independent Random Variables, Distribution of Functions of Random Variables,Expectation,Variance, Covariance, Coefficient of Correlation, Bivariate Normal Distribution, Law of Large Numbers, The Central Limit Theorems, Sample and Population ,Chi—Squared, T and F Distributions , Sampling Distributions , Point Estimation , Interval Estimation , Testing Hypotheses , A Test of Significance for Parameters in a Single Sample From a Normally Distributed Population , A Test of Significance for Parameters in Two Sample From Normally Distributed Populations .

本课程的主要内容：概率的概念与运算、随机变量及其分布、随机变量的数字特征与极限定理、数理统计的基本概念、估计和检验的基本方法，随机事件与概率随机事件、事件的关系与运算、几何概率、统计概率等，条件概率、全概率公式、贝叶斯公式、事件的独立性、二项概率公式，随机变量的概念、离散型随机变量、随机变量的分布函数、连续型随机变量、随机变量函数的分布，多维随机变量及其分布函数、边缘分布函数、随机变量的独立性、二维随机变量函数的分布，数学期望、方差、协方差和相关系数、大数定律、中心极限定理，总体与样本， X 2-分布、 t-分布和 F-分布，统计量及抽样分布，假设检验的基本概念、单个正态总体参数的显著性检验、两个正态总体参数的显著性检验。

Firstly,the classification of probability rule is analyzed on the base of classic rough set concepts and extended to the equal relation of set in the indefinite system,namely,the upper and lower approximation space of research set is expressed in the form of conditional probability;then,according to the measure of probability rule,the attributes reduction is carried out and the classification rule is extracted by using the related parameters of condition attributes' impend precision from the angle of conditional probability;Finally,the related simulation test result is given and the result shows the classification rules with probability measures is more rational.

首先在经典粗糙集概念的基础上分析概率规则的分类，并将其推广到不确定系统的集合等价关系中，即用条件概率的形式表示研究集合的上下近似空间；然后根据概率规则的测度从条件概率的角度利用条件属性的逼近精度的相关参数进行属性集的约简进而提取分类规则；最后给出了相关的仿真实验结果，结果表明带有概率测度的分类规则更合理。

This paper introduced the appliance of probability and statistics in reality,including classical model,formula of total probability, normal distribute,mathematics expectation and the central limit theorem.While it also discusses the widely uses of probability and statistics and the close relationship with the real life.Therefore,it lays the theoretical foundation for the practical uses with probability and statistics,and the basis of mathematics model.

本文介绍了概率统计的某些知识在实际问题中的应用，主要围绕古典概型，全概率公式，正态分布，数学期望，极限定理等有关知识，探讨概率统计知识在实际生活中的广泛应用，进一步揭示概率统计与实际生活的密切联系，为应用概率知识解决实际问题，数学模型的建立，学科知识的迁移奠定一定的理论基础。

Classical tragicomedy is the cristal of Chinese culture, and best represents the Chinese culture spirit. But regretfully Chinese dramatists followed the Western footsteps, put most of their energy onto the classical tragedy and neglect the study of classical tragicomedy. They classified many classical tragicomedies into the category of tragedy. It brought about the confusion in the classification of Chinese classical drama.

古典悲喜剧是中国文化的结晶，最能代表中国文化精神，遗憾的是我国戏剧界往往步西方的后尘，集中精力研究古典悲剧，忽略了对古典悲喜剧的探讨；又因为对古典悲喜剧的价值认识不足，有意无意地将许多悲喜剧划入悲剧范畴，造成我国古典戏曲分类上的混乱。

In order to solve dynamic, complicated and uncertain problems, multi-agents based distributed intelligence decision support systems, description and decomposition of complicated decision tasks, and cooperation and reasoning among multi-agents are elaborated in this paper. The details are given as follows. 1. Agent and ABDIDSS modelsIn allusion to the current problems of research on agents theory models, payoff and probability factors are introduced on the basis of mental state models of classical BDI of agent and joint BDI of multi-agents in this paper, mental state models of individual agents and joint metal state models of group agents based on payoff and probability factors are built up. Introducing payoff and probability factors satisfies requirements of uncertainty and self-benefit of agents to the environments.

本文针对动态的、复杂的以及不确定问题，以基于多Agents的分布式智能决策支持系统及复杂决策任务的描述与分解、多Agents之间的协作与推理机制为研究内容，具体的研究内容如下： 1、Agent和ASDIDSS模型针对当前多Agents理论模型研究存在的问题，文章在经典Agent的BDI以及联合BDI等心智状态模型基础上引入效用与概率因子，建立基于效用与概率因子的个体Agent的心智状态模型以及群组Agent联合心智状态模型，引入效用与概率因子满足Agent对环境的不确定性以及自利性的要求。

K. H. Roscoe and his fellows of Cambridge University established the first elastoplastic model of soils which is based on classical plastic theory in 1963. However, due to the complexity of soils, the models that based on the classical metal constitutive theory or its modification accounting on the nature of soils have still much limitation when used to express the soil mechanical behavior. For example, the Duncan-Chang's model based on the generalized Hooke's law can not express the dilatancy of the soils. The uniqueness assumption of the direction of the incremental plastic strain in the classical plastic constitutive theory is not in agreement with some soil experiments.

但由于土的复杂性，目前以传统的本构理论为基础考虑土的一些特性而建立的模型在反映土体的力学特性上还存在很大的局限性，如建立于广义虎克定律基础上的Duncan—Chang模型不能反映土的剪胀性，传统的塑性本构理论中认为塑性应变增量方向具有唯一性的假设与一些土体的试验结果不符合。

Hanna: That's over now, isn't it?

都结束了，对吗

You must be ill. You look so pale.

你一定是病了，你的脸色苍白。