查询词典 Poisson distribution

Then,we improve CSFP Model in two aspects:when we ascertain the frequency of default,we use negative binomial distribution to substitute Poisson distribution so that the model can measure the data better;when we ascertain the loss distribution of default,we use Γ-distribution to substitute normal distribution.

其创新与特色一是对贷款组合的风险暴露数进行分段，在每一频段上分别确定风险暴露数分布，进而可以更准确的描述各笔贷款的风险暴露数。二是在确定风险暴露数分布时，用Γ分布替代了传统的正态分布，解决了贷款违约的风险暴露数分布的厚尾问题，进而解决了大宗贷款违约的风险度量问题。三是确定违约频率时，用负二项分布来代替传统的泊松分布，解决了违约频率的方差通常要大于其均值的分布拟合问题。

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。

In order to deepen people's comprehension of Poisson Distribution, this thesis adopted examples or proceeded in the form of question, causing people's highly recognition to Poisson distribution.

为加深大家的理解，并以例子或问题的形式进行研究和解答，同时引起大家对Poisson分布的高度重视。

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。

The main purpose of the thesis is choosing the more superior distribution among normal distribution, logarithmic normal distribution, weibull distribution, beta distribution and gamma distribution when they are used for fitting and forecasting ten main trees diameter distribution of natural secondary forest in baotianman on basis of analyzing and comparing the data from the 32 plots of natural secondary forest in baotianman.

以宝天曼天然次生林32块样地的调查数据为依据，分别以正态分布、对数正态分布，Weibull分布，Beta分布，Gamma分布拟合及预测宝天曼自然保护区天然次生林10种主要乔木树种直径分布，并对其适用性进行分析、比较，选出最适合于拟合及预测该林分直径结构的分布。

The results of this study demonstrate that the data of HBsAg carriers distributed in different sizes of families do not fit the binomial distribution and Poisson distribution,but fit the Neyman distribution and negative binomial distribution.

结果表明HBsAg携带者在家庭中的聚集性可以用统计的理论分布证明。

Common types include the distribution of uniform distribution, distribution, distribution of 30 cents, and the distribution of beta log-normal distribution.

常用的分布类型包括均匀分布、正态分布、三角分布、贝塔分布和对数正态分布。

Actually, such a generalized Cauchy distribution was the Pearson VII probability distribution. In this dissertation, the Lorentz distribution was regarded as a generalized Cauchy distribution with only one scale parameter; while the Pearson VII distribution was regarded as a generalized Cauchy distribution with a scale and a shape parameter both.

因此，本文提出应在Lorentz分布的密度函数中再增加一个能够反映分布函数尾部特征的形状参数，希望通过该参数的可调节性进一步改善稀疏编码算法的自适应性。

Spatial distribution pattern of larvae of Aleurocanthus spiniferus in citus garden was studied by means of some distribution parameters such as mean crowding, David and Moor's clustering index, index of patchiness, proliferation index, the distribution of negative binomial, Iwao's patchiness, the and Taylor's law. The results showed that the spatial distribution pattern of larvae under all densities appeared to be aggregation distribution, which is characterized by individual attraction and predominant individual group such as cored distribution pattern.

通过运用平均拥挤度m、 David和Moor的丛生指数I、聚块性指数mm、扩散指数C、负二项分布K值等多种聚集度指标和Iwao的m-m回归分析法、Taylor幂法则，研究了沙糖桔园柑桔黑刺粉虱若虫的空间分布格局，结果表明该虫在所有密度下均呈聚集分布，个体间相互吸引，分布的基本成分是个体群。

When normal distribution of subordinate function was considered, we can further deduce fussy reliable formulas that forces and intensities were lognormal distribution, that forces and intensities were weibull distribution, that forces were exponential distribution and intensities were normal distribution, that forces and intensities were exponential distribution. 3. Coincide methods of skip-ratio curve were gotten by deducing and skip-ratio functions of standard road in common use was gotten by theoretic and algebraic calculation.

并以此为基础选取了广义而精确的正态分布隶属函数，进一步推导了应力和强度均为对数正态分布时的模糊可靠性公式、应力和强度均为威布尔分布时的模糊可靠性公式、应力为正态分布和强度为威布尔分布时的模糊可靠性公式、应力为指数分布和强度为正态分布时的模糊可靠性公式、应力和强度均为指数分布时的模糊可靠性公式。

He tendered his resignation to the Prime Minister.

他向首相递了辞呈。不适合

International economy and trade,Nanking 210044

国际经济与贸易，南京 210044