对数分布

Next the difference of the arithmetic means on the log-scale between the two conditions is computed. The current approach implicitly assumes that the expression levels follow the log-normal distribution and is the maximum likelihood estimate of the fold change.

通常计算相对表现量的方法会将不同浓度晶片的基因表现量做对数转换(底数为2)再进行相减；换言之，相对表现量先决条件是预设呈一对数常态分布并用最大概似估计法估计。

Flood frequency analysis ; Extreme Value distribution ; Pearson TypeⅢdistribution ; three-parameter lognormal distribution ; Microsoft Excel software

洪水频率分析；极值分布；皮尔逊Ⅲ型分布；三参数对数正态分布；电子表格

In this paper, we try to study the problem of estimating parameters in some life distribution by grouped data.

本文将考虑若数据来自某些更为常见的寿命分布，如威布尔分布、对数正态分布，这类问题该如何解决。

This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

And also this paper deduced load of tower crane jib according a typical tower crane operating cycle.

通过雨流计数法统计了危险截面应力—时间历程中应力幅和循环次数，根据应力幅和循环次数利用数理统计方法假定了吊臂钢结构在工作过程中的应力幅分布服从对数正态分布，最后通过检验母体是否服从某种分布的

This paper discusses the equivalent normal distribution of logarithmic normal distribution and weibull distribution.

本文着重研讨了对数正态分布和威布尔分布的等效正态分布。

It has been found that the depth of crack and fracture toughness of material can be expressed by weibull distribution, ratio of depth to length of crack and strength of material can be expressed by logarithmic normal distribution and normal distribution respectively.

对该管道主要随机变量的统计分析表明，裂纹深度和材料的断裂韧性表现为威布尔分布，裂纹深长比表现为对数正态分布，材料的屈服强度和拉伸强度表现为正态分布。

When the variance was known and the conjugate prior distribution was normal,a Bayes estimation of loss-function and risk function of logarithmic normal distribution was given.

方差已知时，给出共轭先验分布为正态分布下，对数正态分布的损失函数和风险函数的Bayes估计，得到其Bayes估计为保守估计的条件

Finally, the physical index and compression index of silty soil from Yangtze Basf project are divided to three groups according to depth, then characteristic statistic are calculated to physical and compression index of three groups and mechanical index of all depths. After that, normal distribution 、 logarithmic normal distribution and extreme I distribution are fitted for physical and mechanical indexes. And Goodness-of-fit testing with X~2 method is done subsequently.

最后，将扬子巴斯夫工程粉质粘土的物理指标和压缩性指标按照埋深分为三组，计算了不同深度上粉质粘土的物理指标和压缩性指标以及所有深度上抗剪强度指标的特征统计量；然后用正态分布、对数正态分布和极值I型分布对各指标进行概率模型拟合并用x~2法对拟合优度进行了检验。

The tensile strength and the elastic modulus were assumed to obey Weibull and logarithmic normal distribution and the other mechanical parameters were taken as constant values in the simulations of three-graded-concrete supported beam. The random aggregate random parameters model was established, which is very close to the actual structure. The results show that the nonlinear behavior of higher homogeneous specimen appears later obviously; the influence of random distribution of elastic modulus on the mechanical character is very little in linear range, while great in nonlinear range; random distribution of tensile strength affects the strength and the damage threshold of concrete obviously.

对三级配混凝土简支梁进行数值模拟时，假定各相材料的抗拉强度和弹性模量服从Weibull、对数正态两种随机分布，其他力学参数取定值，生成和实际结构比较接近的随机骨料随机参数模型，数值模拟结果表明材料均质度较高的试件出现非线性行为的时间要明显滞后于均质度较低的试件；弹性模量分布的随机性对材料线弹性段力学性能的影响极小，而对非线性区域的影响较大；材料强度分布的随机性对混凝土的强度和损伤阈值有较大的影响。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。