分布的

Contrasting with control treatment, the fit of the Exponential distribution in characterizing fine root longevity was elevated under N amendment treatment, at the same time, the distributions of Welibull, Lognormal, and Normal were still better in character. All above indicated that N fertilization treatment maybe only alter the absolute value of longevity frequency, but the ratio between longevity frequencies was the same as before. So the model of longevity was unalterable.(5) Regardless analyzed with whichever categories i.e.

对各生长季细根寿命的统计分布拟合检验的结果与对照相似，施肥仅仅提高了总体分布对细根寿命的拟合优度，但威布尔、正态以及对数正态分布仍然拟合最好，这说明施肥可能仅改变了不同细根寿命频数的绝对值，但各寿命频数间相对比例并未发生明显变化，寿命理论分布的类型保持不变。

Abnormal distribution is not rare in practical measurement. Beta distribution contains not only central distribution but also non-central distribution. It is a good method to simplify the research of practical measurement distribution.

为了解决实际测量中的非正态分布的表示问题，本文采用含有两个参数的Beta分布来统示表示多种类型分布，并且解决了该分布的参数、特征值的计算。

With the wide development of the mixed Poisson distribution in the medical, financial and insurance applications, it is receiving increasing attention. But, according to the author to understand, at present, studies on the Mixed Poisson distribution of the literature are relatively small, the most important reason is that it does not have a Mixed Gaussian distribution of a wide range of applications. However, with advances in computer technology and the development of statistical techniques, Mixed Poisson distribution analysis of statistical data will play an increasingly important role, thus the system in detail study of Mixed Poisson distribution model parameter estimation is necessary.

随着混合泊松分布在医学，金融保险等领域的应用越来越广泛，因此它越来越受到人们的重视，但是据作者了解，目前，对混合泊松分布研究的文献是比较少的，其中最重要的原因是它没有混合正态分布的应用范围广泛，但是随着计算机技术的进步和统计技术的发展，混合泊松分布将在统计数据分析中扮演越来越重要的角色，因而系统，详细的研究混合泊松分布模型的参数估计是非常有必要的。

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。

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。

A general model of two phase image segmentation based on variational level set method is proposed,and the region model is based on the image general probability distribution function.

基于变分水平集方法建立了两相图像分割的通用模型，其区域模型基于图像的一般概率分布函数，通过变分方法得到水平集函数的演化方程和符合常值分布、Gauss分布及Rayleigh分布的参数估计。

Purpose In this research, we applied three modeling methods to strive for accurately forecasting thepotential distribution of invasive species-Solenopsis invicta in China. Furthermore, we also researchedthe relationship between potential geographic distribution of S. invicta and environmental factors indetail to understanding how environment factors restricted distribution of Solenopsis invicta innon-suitable areas of Chinese mainland. The achievement of research provides a theoretical basis, whichcould guild the next step for the prevention and control stratagem ofS.

研究目的与意义：本研究通过3种不同机理的分析生物分布预测模型进行建模分析，力求准确预测入侵物种红火蚁在中国的潜在分布范围，并明确红火蚁潜在地理分布与环境因素之间的关系，同时找出在中国大陆地区非适生区限制其分布的影响因素。

Through field observations and sampling, by referencing to other documents and information, with correlation analysis and principal component analysis as mathematical tools, we know that: the distribution of the number of birds has close relations with density of zoobenthos and ratio of water area, the correlation coefficient of the distribution and the two factors are 0.916 and 0.745, the density of zoobenthos is the most direct reflection; Vegetation types , the coverage and water level may have relations with the distribution of the kind of birds, normally, middle and large volume birds need high vegetation and high coverage as their habitats, and waterfowl like deep water as their habitats; Human activities have low impact on the the distribution of the number of birds, but the activities have relations with all the other environmental factors.

通过实地的观测、采样，并结合其他文献的资料，以相关分析和主成分分析作为数学工具，得知：鸟类的数量分布和底栖生物密度、水域面积比例有着密切关系，鸟类数量分布与两者的相关系数分别为0.916和0.745，其中，底栖生物密度是鸟类数量分布的最直接反映；植被类型、植被盖度和水位可能与鸟类的种类分布有一定关系，通常体积中、大型的鸟类需要较高的植被高度，来作为自己的栖息场所，水禽需要水位较深的区域作为自己的栖息场所；人为活动对鸟类数量分布的影响不大，但对所有自然环境因子都有一定影响。

As the same section is concerned, near the bottom the maximum value of frequency appear within 1mm of bubble size, towards the water face this value tend to decrease, yet the corresponding size turns to increase; in the same time, the frequency is concentrated near the bottom and deconcentrated near the water face; under the experiment condition, the maximum frequency of the total section approximately appear at 0.5mm size; mean bubble size access 0 at bottom and increase acceleratively towards water face where tend to be infinite; total number increase during developing of aeration, and become steady when reach wholly developed area; on the same section, the total number in unit time tend to increase at first and decrease then, along the water depth.

对于同一断面，靠近槽底的测点气泡个数分布最大值出现在气泡尺寸小于1mm的范围内，朝水面方向各测点气泡个数分布最大值呈减小趋势，而其对应尺寸则呈现变大趋势；在靠近槽底，个数分布表现得比较集中，而在水面附近气泡个数分布曲线表现得低而平缓；实验条件下，整个断面上的气泡个数分布的最大值大体上出现在尺寸为0.5mm的地方；气泡平均尺寸在槽底处接近于0而朝水面方向迅速增大，且越接近掺气水流的水面，增加速度越快，最终趋于无穷大；气泡总数在掺气发展区内是沿程增加的，当掺气水流发展到一定程度后气泡总数就基本保持不变了；在同一断面上，各测点单位时间内的气泡总数随高度呈现出先增加后减小的趋势。

The stress distribution of the semi-circular breakwaters with holes by different quantitative ice value to water level, especially the stress distribution of holes is analyzed. The effect of the stress distribution to the holes and the wall thickness are discussed. At last, the result is compared to the stress distribution by wave

应用ANSYS程序计算了不同水位不同量级冰力作用下开孔半圆型防波堤的应力分布，尤其分析了孔洞周围的应力分布；并且讨论了开孔和壁厚对于应力分布的影响；最后将分析结果与波浪力作用下的应力分布进行了比较。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。