查询词典 experimental 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。

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。

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。

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。

All the indexes were tested in 2 -. 4 .. 6 weeks of operative intervals respectively. Results:(1) The general observation in the experimental group ,such as spirit, hair, body weight and activity ,was superior to that in the control group.(2) The recovery rate of sciatic nerve functional index (SF1) was statistically significantly higher in the experimental group than in the control group .(3) electrophysciological indexes: m the experimental group ,the tardy rate of induced motorius action potential ,recovery rates of the amplitude of compound muscle action potential and twitch tension and tetanic tension of triceps surae muscle ,were significantly higher than in the control group.(4) Compared with the control group ,the triceps surae muscle wet weight was significantly greater in the experimental group.(5) histomorphological indexes: the count of myelinated nerve fibers ,diameter of regenerated axon, thickness of nerve myelin sheath and area of capillary were much more in the experimental group than in the control group.(6) observation of ultrastructure with the transmission election microscope: more abundant organell a and maturer myelin sheath lay in the injured peripheral nerve of the experimental group, while not lay in the control group.

分别在木后第2、4、6周时进行各项指标的检测，结果发现：（1）实验组SD大鼠在整个实验过程中，其精神、毛发、体重，运动灵活性等一般情况优于对照组；（2）实验组的坐骨神经功能指数恢复率显著优于对照组，P＜0.01；（3）神经电生理指标：实验组运动神经诱发电位潜伏期的延迟率显著优于对照组，P＜0.05；复合肌肉动作电位振幅的恢复率显著高于对照组，两组比较第2周时P＜0.01，第4、6周时，P＜0.05；小腿三头肌单收缩力和强直收缩力的恢复率实验组显著高于对照组，P＜0.01；（4）小腿三头肌湿重的恢复率，第2、4周时实验组高于对照组，差异非常显著，P＜0.01；第6周时，差异仍显著，P＜0.05；（5）组织形态学指标：有髓种经轴突计数、再生轴突直径的恢复率，毛细血管面积，实验组均显著大于对照组，P＜0.01、P＜0.05、P＜0.001；实验组髓鞘厚度的恢复率也显著高于对照组，第2周时P＜0.01，第4、6周时，P＜0.05；（6）透射电镜超微结构观察：实验组再生轴突中细胞器丰富，髓鞘结构成熟，神经再生情况优于对照纽。

DYS522 sites examine proptosis 5 discrimination power with personal allele,allelomorph to 0.6495,the excluding probability of paternit is;DYS508 sites examine proptosis 6 discrimination power with personal allele, allelomorph to 0.7006,the excluding probability of paternit is;DYS632 sites examine proptosis 3 discrimination power with personal allele,allelomorph to 0.5224,the excluding probability of paternit is;DYS556 sites examine proptosis 6 discrimination power with personal allele,allelomorph to 0.7454,the excluding probability of paternit is.

DYS522基因座共检出5个等位基因9～13，频率分布范围0.0447-0.5075，11频率最高(0.5075)，DP值为0.6495；DYS508基因座共检出6个等位基因8～13，等位基因频率分布范围0.0149～0.4030，11频率最高(0.4030)，DP值为0.7006；DYS632基因座共检出3个等位基因10～12，等位基因频率分布范围0.0149～0.4926.11频率最高(0.4926)，DP值为0.5224；DYS556基因座共检出6个等位基因9～14。等位基因频率分布范围0.0149～0.3433，9频率最高(0.3433)，DP值为0.7454。

For that question: how a probability event becomes to be a certainty event after some time.The answerer is that the Probability is changing along the development of time since many factors will affect the Probability in that time interval and Probability=1 at the point it happened.

又如生化反应，在刚开始的时候，那些化学物质发生反应的概率可能很小，加入催化剂（或者即使不加入催化剂，由于各物质的溶度随着反应进行，时间的推移而改变）影响着后来某一时刻这些化学物质能否完全反应。

Then we use the diagram of Venn to analyse and predigest the theorem proof. And it is also used in probability addition and multiply、conditional probability、total probability formula、 Bayes formula to simplify the calculation of probability. So it is easy to understand and master.

进而利用Venn图分析、简化概率性质的证明以及Venn图在概率的加法与乘法、条件概率、全概率公式和贝叶斯公式中的应用，简化概率的计算，便于学习者理解和掌握。

Based on the flaw of the probability reliability model in the case of small amount of information,non-probability and mixed probability/non-probability reliability models are presented. When the uncertainty of the basic random variable is described by convex, analytical and numerical methods are constructed to calculate the convex of response variable. The infinite norm index, which is the minimal infinite norm distance from original coordinate point to the surface of the limit state in the standard interval space, is presented to measure the safety of the structure.

针对概率可靠性模型在小子样信息下的缺陷，建立了非概率可靠性模型及概率—非概率混合可靠性模型；给出了用集合来描述变量不确定性时，极限状态变量变化集合的解析解和数值迭代解法；提出了物理概念明确且十分易于工程应用的度量结构、机构安全程度的无穷范数指标，它是标准区间空间中坐标原点到极限状态表面的最小无穷范数距离。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？