条件分布

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 phase of optical wave can be recovered by the intensity transport equation under the paraxial approximation For the optical system with diffraction limit, it is difficult to get the boundary radical slope of phase and sample in the circular domain boundary when using the intensity transport equation to recover the phase, consequently, we reviewed an algorithm mentioned in the reference ［4］, namely, the equation, computation domain and boundary condition are changed, then the phase is reconstructed by the multigrid method and corrected at last Moreover, the experiment system is set to testify the algorithm, and the recovered phase from the intensity data detected by CCD is compared with the result from phase retrieval algorithm, it is found that the phase reconstruction error can reach 017 λ in the case of non-uniform intensity distribution, as a result, the method is suitable for the phase recovery with low wavefront sensing accuracy.

在傍轴近似条件下，可以利用光强传播方程对畸变波前进行相位恢复。对于衍射受限的光学系统，很难获得相位的边界径向斜率值作为边界条件，此外，要获得精确的圆域边界采样值也并非易事。为了克服上述困难，进一步研究了相位恢复改进方法，即改变了方程的表示形式、计算区域和边界条件，并用多重网格法进行求解获得重构相位，最后再将其修正。为了验证算法的精确性，搭建了实验系统对算法进行实验验证，将由CCD探测的光强分布进行计算得到的相位分布与相位恢复算法的结果进行比较，证明在光强分布非均匀的情况下，该方法恢复的相位均方根误差能够达到017 λ，可以适用于波前传感精度要求不是很高的相位恢复。标签自适应光学相位恢复相位修正光强传播方程 adaptive optics phase retrieval phase correction intensity transport equation

1Niche construction can lead to stable coexistence of diverse genotypes in spatially structured population, which supports a stable polymorphism even without heterozygote superiority.(2)With habitat deterioration, niche construction accelerates the formation of steady polymorphism and hence impedes the harmful influences of environment on the population, which might embody a life-history strategy of organism under the unfavorable environment.(3)Niche construction results in the coexistence with alternative polymorphism through genotype-environment feedback and limited gene flow.(4)The niche-constructing organism is an active force to alter its environment and hence the direction of natural selection in order to better survival.(5)Spatial dynamics and distribution pattern of metapopulation are profoundly influenced by time-lagged niche construction.(6)Metapopulation size can reach a fixed level in the recency effect and equal weighting of time lag but is statistical stability in primacy effect, which implies the primacy effect is most remarkable.(7)The increment in the relative weightingof each generation\' niche construction and the length of time lag are significant factors for system destabilization.(8)Moderate capacity of positive niche construction benefits the metapopulation persistence.(9)The narrowing of niche breadth can decrease the metapopulation size and thereby increase the extinction risk.(10)The coupled function of time lag and niche construction make the system oscillation and generate the spiral wave, spiral-broken and circular wave in heterogeneous habitat.The spatial distributions of metapopulation and resource content are complementary due to a phase lag of their both frequencies.(12)Metapopulation persistence with niche construction depends not only on the balance between colonization and extinction, but also on the balance between the ability of niche construction and natural dissipation of habitat.(13)Metapopula-tion can survive under certain condition when the percent of suitable patches in habitat is lower than the ration of extinction to colonization.(14)Two thresholds exist in the process of transition of habitat quality dynamics from unsuitable to suitable, which include the intensity of niche construction and the initial condition of system.(15)Metapopulation size is positive correlated with the ability of positive niche construction, which means that organism or population who has strongly positive influences on their environment plays an important role to maintain the available habitat.

通过上述几个方面的研究，主要得出以下15条结论：(1)生态位构建可使空间结构种群，甚至是在没有杂合子优势的条件下，形成多种可能的稳定基因型分布模式；(2)随着环境的破坏与恶化，种群的生态位构建作用加速其较早形成稳定多态以阻碍环境对种群的不利影响，解释了有机体在不利环境下的一种生活史对策；(3)生态位构建作用通过基因型—环境反馈机制及有限的基因交流导致基因型多态的稳定共存；(4)有机体的生态位构建作用是一种积极的动力改变环境进而改变其自然选择的方向；(5)生态位构建的时滞作用对集合种群动态和空间分布产生深刻影响；(6)集合种群大小在时滞的崭新效应和等权重效应下达到一固定值，而在首位效应下达到统计稳定，表明首位效应的影响最显著；(7)首位效应下生态位构建相对权重的增量和时滞的长度是影响系统不稳定性动态的关键因素；(8)适中的生态位构建强度有利于集合种群的续存；(9)生态位宽度变窄会减少集合种群的数量从而增加其灭绝风险；(10)时滞和生态位构建的双重作用使系统产生周期振荡，并在异质性环境中产生稳定的螺旋波，破碎的螺旋波和环形波三种分布模式；(11)集合种群与资源含量的空间分布因为相滞而互补；(12)具有生态位构建的集合种群续存不仅取决于侵占率与灭绝率之间的平衡，而且依赖于生态位构建能力同其生境的自然消耗速率之间的妥协；(13)当生境中适合侵占的斑块比例小于其侵占率与灭绝率之比时，生态位构建作用促使集合种群在一定条件下续存：(14)生境斑块的状态从不适合到适合转变过程中存在生态位构建强度和系统初始条件这两个阈值；(15)集合种群的大小同正生态位构建能力正相关，意味着对环境具有较强正作用的有机体对维持有效生境起积极作用。

The results indicate that conditional EVT is superior to other models;conditional distribution model is superior to conditional normal model;conditional EVT for confidence ...

结果表明，条件EVT比其它模型的测度效果好；条件t分布模型优于条件正态分布模型；置信水平为99%的条件EVT和置信水平为95%的条件t分布模型，分别是测度上证A、B股市场风险效果最好的模型。

The main research work of this paper are focused on following areas:(1) Based on review of the theory and methods on measurements of particle fields, a new idea for obtaining particle size and velocity distribution within a spray through imaging the particle field with a laser light sheet was put forward;(2) A DPIV (Digital Particle Image Velocimetry) system, is fit for velocity measurements of low speed flows, was developed and expended to particle size distribution measurement;(3) An arithmetic for particle velocity field reconstruction was developed, and the velocity distribution of water mist was also obtained;(4) A software system for particle analysis, which based on image geometry emend, de-noise and image partition was developed, the parameters such as particle size distribution, mean diameter, number of particles, minimum and maximum diameter can be got with this system;(5) A water mist system was developed and its characteristics, such as droplet velocity, size distribution, number of droplets and spray cone angle under different conditions were obtained from experiments with PIVS;(6) The measurement results of water mist characteristics with PIVS were compared and analyzed with the simply simulated results, and in addition, in order to verify the accuracy of PIVS, some experiments were conducted with the standard particles, such as glass-ball with known mean diameter of 50μm and 115μm, metallic coated tracing particle with mean diameter of 12μm;(7) Some experimental studies on interaction of water mist with liquid pool fires were conducted.

本论文的主要工作包括以下几个方面：（1）在对粒子场测量的相关理论和具体方法进行综述分析的基础上，提出了通过采用激光片光对粒子场进行成像以获取其粒径和速度等参数分布的新思路；（2）研制了适宜于低速流动速度场测量的DPIV(Digital Particle Image Velocimetry)系统，并使其实现了对粒子场粒径分布的测量功能；（3）研制了基于粒子运动轨迹的速度场重建算法，获取了细水雾雾场的速度分布；（4）研制了基于几何校正、去噪、图象分割等图象处理方法的"粒度分析软件系统"，该系统既可分析给出粒子场的粒径分布直方图和平均粒径，还可给出粒子的数目以及最大、最小粒径等信息；（5）建立了一细水雾发生系统，并应用上述方法对不同压力条件下细水雾系统的雾场特性（如速度分布、雾滴粒径分布、雾滴的数目、喷雾张角以及雾化长度等）进行了实验测量研究；（6）对细水雾特性参数的PIVS测量结果与计算机简单模拟计算结果进行了定性比较分析，并利用平均粒径为50μm和115μm的玻璃球以及12μm的标准示踪粒子对PIVS系统的粒径和速度测量结果进行了实验验证，同时对其局限性进行了分析讨论；（7）对不同工况条件下细水雾与油池火相互作用的过程进行了模拟实验研究。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann（1985a）关于实独立随机变量列的结果，并给出了NA列强大数律成立的若干条件，特别建立了一般NA列对数律成立的充分必要条件，在二阶矩存在的条件下完整的解决了一般NA列对数律的问题，中文摘要2而已有的一些NA列对数律的结果可以由它推出，给出了NA列的Teiclier型强大数律，表明lbiChCI·（1979）给出的实独立随机变量列的强大数律可以减弱其条件等；建立厂不问分布NA列的Teicfl仪；Egorov，Petrov型有界重对数律，以及加权同分布NA列的有界重对数律，进一步推广了NA列的Kolmogory有界重对数律等，特别对NA列建立了Wittm洲型有界重对数律，而其证明方法与独立情形有很大不同，同时通过反例表明在与独立场合类似的条件下，独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形；最后研究了NA随机变量级数的收敛速度，给出了尾和下降的阶；尾和的有界重对数律，及尾和对数律成立的充要条件等，并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

The established models in which annual precipitation was incorporated as the principal variable indicate a very closely correlation between forest productivity and its corresponding climatic factors,allowing to simulate distribution pattern of actual forest productivity effectiv...

结果表明：在所构建的模型中，除海拔高度与净生产力的相关模型外，其它模型均有较高的实用价值，模型的拟合曲线变化，基本反映了中国森林现实生产力的地理分布格局；中国森林生产力的分布格局主要取决于气候环境中的水热条件，水分条件是决定中国大部分地区森林生产力水平和地理分布格局的主导因素；根据7个GCMs大气环流模型预测合成的2030年的气候情景，研究气候变化对中国森林生产力影响的结果是：气候变化并没有改变中国森林第一性生产力的地理分布格局，即从东南向西北森林生产力递减趋势不变，但不同地域的森林生产力有不同程度的增加。

Environment radon is mainly from rock and soil in geological environment, but the research is not connected with geological environment now. On the basis of physical field, the theoretical distribution model of radon in soil and exchange model of earth—air are set up by using Fick diffusion law and Dacy law, and then the research of environment radon is linked with geological environment. This paper described how the evry parameter of the theoretical model influence the radon concentration in air. The results of research indicat that molecule diffusion of radon is different from it's eddy form. Under the condition of surface radon source, the model experiment is used to study the transportation and distribution of radon in medium. The data of experiment show the relationship between radon and depth can be described by exponent. If the radioelement is well—distributtion, the concentration of radon in different depth or in different point at the same depth change with time, but the accumulated exhalation amount of radon at different point on the surface of model are close in relative long time. The author studied the exchange of radon between mediums and verified the theoretical models too.

环境氡主要来自岩石、土壤，而目前环境氡研究中与地质环境结合很少，为此作者以物理场为基础，运用气体运移的费克扩散定律和达西定律，建立起壤中氡浓度分布与大地—大气间氡交换理论模型，首次在理论上将环境氡与地质环境结合起来；论文中从理论上讨论了模型中各参数对空气中氡浓度的影响，发现空气中氡运移的分子扩散方式和湍流扩散方式存在明显差异；通过面状氡源条件下的氡运移模型实验，研究了介质中氡的运移与分布，实验数据表明氡浓度随深度的变化规律可用指数函数描述，在放射性元素分布均匀的条件下，介质中不同深度和同一深度不同点的氡浓度随时间而变，但介质表面不同点在较长时间内向空气中累计释放的氡的量是相近的；同时研究了不同介质间氡的交换，并验证了所建立的理论模型；运用理论模型预测青岛市城区壤中氡浓度、江西临川一住宅区空气中氡浓度及江西二个测区的区域空气中氡浓度分布，取得了较好的效果。

After comparing nonlinear simulation with linear, the results indicate that: Weak nonlinearity has definite and apparent influence on the distribution of acoustic fields and focused gain of array, which cause the distribution of waveform is closer to the array and the focused gain deteriorate ; the strong nonlinearity have a strong waveform aberration, because the other waves of non-fundamental frequency appear . No evident distinction is found in the effects between the oblique propagation and the vertical propagation, though less focused gain and influence caused by strong nonlinear produced by the acoustic diffraction which results in more attenuation in terms of oblique propagation.

将线性条件下的模拟结果与非线性条件下的模拟结果进行比较发现：弱非线性会对声场的分布和阵列聚焦增益产生一定的影响，使得声场分布波形比线性条件下的更加靠近阵列，聚焦效果变差；强非线性会使波形发生更严重畸变，这是由于产生了基频以外的其他频率声波引起的；非线性对斜向传播时声场分布的影响与垂直传播时的影响效果基本相同，但由于斜向辐射时的声波衍射造成的衰减要大于垂直辐射时的，因此聚焦增益和强非线性的影响都将小于垂直辐射时的情况。

Thirdly, by con-utilaziont of many methods such as exploitation and geology, dynamic producing process monitoring, water invasion behavior, core analyis and numerical simulation, 10 kinds of reservoir scale remaining oil distribution pattern in the steam huff and puff super heavy crude oil reservoir was put forward. Also, remainling oil distribution in the sand bed scale and sublayer scale were pointed out.Fourthly, Microcosmic displacement experiment was conducted for hot water driving in 100℃and 120℃. and steam drive at 170℃condition. Microcosmic remaining oil distribution characteristics were summarized. Remaining oil microcosmic distribution by steam drive at 170℃is different from that at 100℃, 120℃hot water driving. After the steam drive, there are three types of remaining oil distribute regular pattern, whic is impacted by many affecting factors like pore configuration, wettability and interfacial tension.

分析了砂层组规模和小层规模的纵向和平面剩余油分布规律。4、通过微观驱替实验，研究了100℃和120℃的热水驱及170℃蒸汽驱条件下剩余油的微观分布形态。170℃条件下剩余油微观分布形态同时受孔隙结构、润湿性及界面张力多种因素的影响，主要有三种形式：在油、汽、水三相共存的孔隙中，剩余油分布于汽、水之间，为薄膜状和弯月状；在只有油、汽两相共存的孔隙中，大孔道中主要是蒸汽，剩余油在细小的孔喉和孔隙角隅处以段塞或不规则状态存在；由于高温水蒸汽对原油具有萃取作用，剩余油以一种细小的珠滴状存在于孔隙表面。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。