值分布

And giving the way to own the biggest coefficient in an inferior expansion; The third is that showing the mathematic expectation for multinomial distribution, covariance matrix, characteristic function as well as generating function; Finally, introducing some application instances about gaining maximum value and some simple applications of multinomial distribution in reality.

并且给出了M项N次多项展开式中最大系数的求法；3。介绍多项分布的数学期望、协方差阵、特征函数以及母函数；最后，介绍多项分布最大值求法的应用事例以及多项分布在实际中的简单应用。

Firstly, we normalized the basic voxel by constructing its minimum oriented bounding box. Secondly, we constructed its D2 shape distribution curve, and computed the values of EMD(earth mover's distance) compared with the corresponding curves of the normal cone and cylinder respectively, and the corresponding top diameters. Finally, we compared the top diameters and obtained the parameters by the bounding box.

首先建立基本体素的MOBB，对体素进行标准化；然后生成其D2形状分布曲线，计算此曲线分别与标准圆锥体形状分布曲线、标准圆柱体形状分布曲线的EMD(earth mover's distance)值以及相应的上底直径；最后通过比较两个上底直径的大小来判断此体素是否为圆台体，并由包围盒的边长给出圆台体的参数。

The main works are as follows:Firstly, in order to produce quincunx down sampling and up sampling which could form directional wavelet transform, the rotated factor matrixes is introduced based on discrete wavelet transform.

在遥感图像去除噪声的过程中提出一种软阈值映射函数，在不同尺度的高频子带图像采用不同的软阈值增益，并采用新的阈值估计算法来确定不同分辨率的高频小波系数的分布来进行图像噪声的有效抑制。

The noninformative prior of the standard deviation of error terms was introduced for Bayesian analysis. Then, given the prior density of the random coefficients in the degradation path model, the Markov Chain Monte Carlo method was adopted to generate samples of joint posterior distribution of random coefficients and unknown standard deviation.

为了处理未知的误差项方差，引入相应的标准差的无信息先验分布，并进一步结合退化轨道模型中随性参数的先验分布，利用马尔可夫链蒙特卡罗方法得到随机参数及误差项标准差的联合后验分布的采样值，进而实时预测产品在未来一段时间内的可靠度。

It is found that generally the hydrologic noises exhibit skew characteristics, so that it is reasonably to use skew probability distribution to describing the noise components, and the wavelet coefficient threshold obtained by optimal entropy criterion based on information entropy theory in the global optimum.

分析结果显示，水文序列中的噪声成分具有偏态特性，因此本文应用偏态分布线型对噪声成分进行描述更为合理，而且小波系数阈值优选熵准则所得的阈值是基于信息熵理论而确定的，因此是整体上最优值。

The results of research show GED can display features-tailed more exactly than student's t distribution and gauss normalized distribution. Meanwhile, two models of EGARCH and PARCH are better than others GARCH model.

实证分析结果表明，与正态分布和t分布相比，GED分布能较好的反映股市收益率回报序列的厚尾特征，同时使用GARCH类模型预测VaR值时，EGARCH和PARCH模型要优于其他模型。

A framework is proposed for modeling spatial distribution of population density. The study region is divided into fine grids. Kernel estimation is used to break down count data published for one fixed set of irregular areal units to the grids where the population is uniformly distributed. The spatial continuous surface which reflects a truer p...

将研究区域划分为一定分辨率的格网，用核心估计方法将人口密度估计值分配到每个格网上，每个格网上的人口是均匀分布的，随着格网分辨率的提高，就可以模拟出符合人口详细分布的人口密度空间连续分布模型，并通过实验说明该方法是可行的。

The papes utilizer Parzen's kernel estimate theory which was used in estimating the function ofprobability intensity and Chen Xiru's results in the field to strictly prove the following fact.Whenusing non-completeness knowledge sample W to find the law which W would be kept to,thefrom:is closer to real pthan the estimate of rectangular diagram.

本文借鉴Parzen提出的概率密度函数的核估计理论和陈希孺教授等研究的结论，用概率论的方法严格证明了下列事实：用非完备知识样本估计其观测值应遵循的概率分布规律时，扩散型估计：得到的分布比用直方图法得到的估计更接近于真实概率分布p。

Distribution region of EDZ and mechanical behaviors of rock mass are further evaluated by using damage model, and the result shows that damage variable is 0.6-0.8 for damaged zone, 0.4-0.6 for affected zone and 0.2-0.4 for slight affected zone. Finally, the slope excavation softening factor is introduced to Hoek-Brown empirical strength criterion, based on the deficiencies of using Geological Strength Index to estimate the rock mass mechanical parameter of EDZ.

对应实测开挖扰动区的分布范围和形状，可以近似确定开挖损伤区岩体的损伤值约在0.6~0.8以内，卸荷影响区岩体的损伤值约在0.4~0.6以内，轻微扰动区岩体的损伤值约在0.2~0.4以内；由此基于Hoek-Brown经验强度准则，引入开挖弱化因子，结合地质强度指标GSI，进行开挖扰动区岩体力学参数研究。

The fractal values of the gully's alcoves have close relation to the orientations of gullies and the poleward facing gullies have higher fractal values than those of equatorward facing gullies.

冲沟沟头的分维值大小分布与冲沟的方位关系密切，面向极地的冲沟分维值较大，面向赤道的冲沟分维值较小。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。