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Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

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 traditional Canonical Correlation Analysis based image recognition methods always encounter the Small Sample Size problem,which is due to the size of sample and less than the dimension of sample.In order to solve this problem,a new supervised learning method called Two-Dimensional CCA（2DCCA） is developed.

针对传统典型相关分析（Canonical Correlation Analysis，CCA）的图像识别中出现的小样本（Small Sample Size，SSS）问题，提出二维典型相关分析（Two-Dimensional CCA，2DCCA）。

Three 30 m×30 m sample fields were designed to investigate different vegetation type, and the species and the number of arbor in the sample field were noted. Meanwhile, four 2 m×2 m plots were designed in the catercorner of sample field to investigate the species and the number of shrub and herbage.

方法］对不同植被类型设置3个30 m×30 m的样地进行调查，记录样地内所有乔木树种的种类、数量，并记录奇胸径和株高；同时，在样地对角线设4个2 m×2 m的样方调查所有灌木和草本的种类和数量。

The cyclic alternating magnetic field realizes cyclic and dynamic magnetization of the magnetic sample. After the cyclic laser narrow pulse train reacts with the magnetic sample, polarization of transparent lights or reflected lights of the pulse train will change to measure magnetization variation of the magnetic sample.

周期交变磁场使磁样品被周期动态磁化，而周期激光窄脉冲列与磁样品作用后，由于磁光效应，其透射或反射光的偏振态将发生变化，度量磁样品的磁化变化。

In a special case of 2 dimensional variables, the probability of the positive definitiveness of the discrete sample covariance matrix is given in term of sample size and variable dimension. Based on the results, the optimal sample size is provided in this thesis.

推出了离散型样本协方差矩阵正定的充要条件，得到了求离散型样本协方差矩阵正定概率的模型，建立了特殊情况下的抽样优化模型。

In blood, luteotropin significantly increased at DCAB 400 fed sample, estradiol (E2) and urea decreased at DCAB 400 and 500 fed sample. However, Lactate dehydrogenate, creatine phosphokinase and total protein had a significant increase for DCAB 300 and 400 fed sample.

血液指标中，DCAB 400组提高了促乳素，DCAB 400和500组提高了雌二醇浓度和尿素；DCAB 300和400组乳酸脱氢酶、肌酸磷酸激酶和总蛋白显著提高；处理组钙含量显著高于对照组。

Crack growth direction of V-notch column sample under tensile-pressural loading was found by means of simulating the crack growth path side by side analyzing the distribution of Von Minses equivalent stress of the V-notch sample, the result shows crack growth direction of the sample under tensile-pressural loading is diametral direction of circle where the V-notch lies.

通过边分析试样的Von Minses等效应力分布，边模拟裂纹扩展方向的方法对拉压载荷下V型切口试样的裂纹扩展方向进行了模拟，结果显示V型切口试样在拉压状态下的裂纹扩展方向为棒料V型切口处圆周的直径方向。

The position and size of the monochromator, focusing curvature radii and tilting angles of the germanium focusing monochromator under different different take-off angle, size and divergency of the second collimator and intensity loss due to the use of it were determined. The neutron flux at different wavelength, under different reflection and take-off angle of the monochromator and divergency of the first collimator, were given. The simulation on the aperture used for limiting beam size in front of the sample showed that, smaller the size of the aperture and further the distance from the aperture to the sample, greater the loss of the intensity and more serious the spread of the beam along vertical direction at the sample position which makes the practical sampling volume greater than expected.

用蒙特卡罗模拟方法对中子应力衍射谱仪的设计方案进行了优化研究，提出了一系列可供参考的数据：确定了单色器的位置、尺寸、垂直聚焦单色器在不同起飞角下的聚焦曲率半径和倾角；讨论了第二准直器的尺寸和发散，以及使用第二准直器造成的强度损失；给出了在不同单色器反射面、起飞角、中子波长和第一准直器发散度的情况下样品处的中子注量率，以及多种组合情况下谱仪的分辨率曲线；对限束方孔的尺寸、距离样品远近对强度损失和测量中的影响做了深入研究。

Methods: The sample extraction method of total flavonoids, including water bath water bath reflux extraction and ultrasonic extraction method, the sample determination of total flavonoids, including aluminum nitrate chromogenic method and direct color method, the sample determination of antioxidant flavonoids, including FRAP method and DPPH method.

样品总黄酮提取方法包括恒温水浴回流提取法和恒温水浴超声波提取法，样品总黄酮含量测定方法包括硝酸铝显色法和直接显色法，样品总黄酮抗氧化性测定方法包括FRAP法和DPPH法。

Impact of soil spatial variability on spatial distribution pattern of Locusta migratoria manilensis eggpods in Nandagang reservoir,Hebei,were studied by means of geostatistical analysis and GIS techniques.

利用地统计学方法，在GIS平台下研究了沿海蝗区南大港水库土壤空间变异对东亚飞蝗Locusta migratoria manilensis卵块分布格局的影响。

In 2007~2011 year forecast period inside, the ad spending of these two kinds of types will be come from rich media advertisement (the metaphrase of Media, predict growth of year of compound increase rate with 50% above) pressure.

在2007~2011年的预测期内，这两种类型的广告开支将受到来自富媒体广告(Media的直译，预计以50%以上的年复合增长率增长)的压力。