查询词典 probability distribution

Since the Dirichlet distribution is the conjugate prior of the multinomial distribution, the beta distribution is the conjugate prior of the binomial distribution.

自的Dirichlet分布是共轭先验的多项分布， Beta分布是共轭先验的二项分布。

So Beta distribution could be used as a unified distribution to denote practical optical measurement distribution. Solving the problem of calculating Beta distribution parameters and characteristic value.

在光学测量领域做了大量实验统计工作的基础上，用Beta分布表示实际测量工作中遇到的多种非正态分布，验证了Beta分布统示表示实际测量分布的方法可行。

We used NCAR/NCEPT anew analyze data and the method of bilinearity insert to fix on profile distribution of several physical field in the air on observation point and the stream field of 700hPa. We primary discussed the possible mechanism to influence aerosol size distribution.The atmospheric condition of 1000hPa~700hPa level had great influence on aerosol size distribution, and influence on coarse particle mainly below 850hPa level. The horizontal wind velocity of 925hPa level is a primary gene which contributed to coarse particles in the air. Vorticity profile especially below 700hPa level is a key gene to influence diffuse and convergence of local aerosol. The air vertical motion velocity greatly influenced aggregation and remove of aerosol particles. The vertical distribution of air temperature mainly influenced vertical transportation of aerosol.

利用NCAR／NCEP逐日再分析资料，通过双线性插值方法，确定观测点上大气中几个物理量的廓线分布；及700hPa的流场，初步探讨了影响大气中气溶胶粒子谱分布的可能机制： 1000hPa～700hPa的大气状况对气溶胶粒子谱分布影响显著，对粗粒子气溶胶的影响显著的主要集中在850hPa以下；925hPa的水平风速是影响大气中粗粒子气溶胶的一个主要因子；涡度廓线(尤其是700hPa左右及以下的涡度廓线)是影响局地气溶胶的扩散的一个关键因子；大气的垂直运动速度对气溶胶的聚合及移出影响较大；大气温度的垂直分布主要影响气溶胶垂直输送。

According to the geometric sense of classification problem and starting from dataset, four determinant algorithms for rotundity distribution, cirque distribution, sphericity distribution and columniation distribution are proposed.

本文利用分类问题的几何意义直接从数据集出发，按照两类样本点之间的距离关系，分别给出SVM训练集呈圆形、环形、球状、柱状分布的测试算法，为基于数据分布的核选择方法提供了实现的基础。

The major findings include:(1) By using fuel as the base indicator of relative efficiency, we found the following input factors' distribution inefficiency for domestic airlines: The distribution inefficiency of labor and capital input factors differs from airline to airline, and is becoming more severe with time; the distribution inefficiency of other factors does not differ very much among airlines but varies with time. It is inefficient from 1989 to 1995 but becomes more efficient during 1996 to 1997;(2) Airline companies have higher economies of density before 1996, but tend to show a constant return to density in 1997 when considering allocative distortions. The technical efficiency of input factors as a whole has declined after the open-air policy;(3) The costs of airlines are increasing significantly due to their distribution inefficiencies;(4) The instrument variable generated through a quasi price function does not have significant influence on cost; this may imply that airline companies in this time period did not exhibit the phenomena of high-quality high-price.

其主要结论如下：(1)藉由相对燃油分配效率探讨各投入要素之分配扭曲情形发现：劳动和因定投入要素之分配无效率因公司别而有所不同，且随时间而严重，唯民国86年稍有改善；其他要素之分配无效率则较不因公司别而有所不同，但亦随时间发生变化，初期为无效率，在民国85、86年则较具效率；(2)若考虑分配扭曲情形下，国内航空业在民国85年之前具有较高之密度经济，民国86年则趋向固定密度报酬；此整体投入要素之技术效率而官，在天空开放政策后其技术效率随时间变化而下降，但就燃油投入要素平均技术进步率而言，则其技术效率逐年增加且幅度明显；(3)航空公司因分配无效率所造成成本增加的情形相当明显；(4)准价格工具变数对成本之影响并不明显，此可能反映在此期间国内航空公司似乎并未趋向於高品质高价格之现象。

Compared with the discrete distribution, we defined a comparison function for continuous distribution, and pointed out the relationship between the discrete distribution and continuous distribution.

仿照离散分布，定义了连续分布的比较函数，并沟通了离散和连续分布的伴随关系。

As for continuous random variable, the connection of distribution function between random variable and its function -- a new random variable can be obtained first according to the definition of distribution function, then the connection between distribution densities can be obtained by derivation; thus the distribution density is solved.

对于连续型随机变量ξ来说，可由分布函数的定义先求出随机变量ξ和它的函数η=f这个新的随机变量的分布函数之间的联系，然后通过求导，得到密度函数之间的联系，从而求得η的分布密度。

The distribution of the qualitative characters The performance of the 39 chief qualitative characters were observed and recorded,according to the test method of morphological characters in the .The results of distribution proportion of each character in cultivars group showed that the distribution of 32 characters(number of ray flower rings,floret curliness,shape of leaf base,size of stipule and so on) were very asymmetrical with near or above 70%cultivars concentrated upon one or two performance, however,the distribution of the other 7 characters(floret type,surface color of outer floret,back color of outer floret,color of disc floret,claw in base of sinus between lateral lobes,stem erectness and stem color) in the cultivars group were relatively symmetrical.

质量性状分布参照《菊花DUS测试指南》的形态性状测试方法，观察记录大菊39个主要质量性状的表现，计算各性状的表现式样在品种群内的分布比例，结果显示舌状花的重瓣性、花瓣曲反状况、叶片基部性状、托叶大小等32个性状的表现式样在品种群内分布极不均匀，接近或超过70%的品种集中在性状的1种或2种表现式样中；而花瓣形状、外花瓣表面色、外花瓣背面色、花中心部颜色、叶裂刻基部有无突起、茎的曲直性和茎色等7个性状的表现式样在品种群内的分布则相对均匀。4。

The identity and difference in the expressional patterns between distribution functions of discrete random variables and distribution functions of continuous random variables are elaborated,and the main expressional patterns of distribution functions of continuous random variables are summarized,and the derivability of distribution functions of continuous random variables is discussed.

0引言在概率论中，连续型随机变量分布函数的表达形式及其可导性是一难点。其一，离散型随机变量的分布函数有较明显的性质和统一的表达形式，而连续型随机变量，由于其概率密度函数一般为分段函数，根据其分段区间的差异，表达形式差异较大，不容易总结其规律，本文主要比较连续型随机

This article estimates the extreme loss distribution with extreme value theory, estimates the shape parameter with HKKP estimator, which is unbiased to small sample data, selects the right threshold by selecting smallest mean square error of the estimated cumulative distribution function and empirical cumulative distribution function and based on the extreme value theory method, this article estimates the extreme loss distribution and the p-percentile operational loss under certain believe range for Chinese commercial banks, then calculates the operational risk supervise capital.

本文利用极值理论对中国商业银行操作损失极端值分布进行估计，针对尾参数估计的来用传统Hill佑计对小样本数据容易产生偏倚的情况，提出了采用Hill佑计的改进―小样本无偏估计的HKKP佑计来估计操作损失的尾参数，针对由于阈值确定不准确导致结果偏差大的情况，采用最小化估计的累计概率分布与经验累计概率分布平均平方误差的方法确定较精确的阈值，估计出给定置信水平下操作风险损失的分位数，从而使得中国商业银行操作风险监管资本的测定成为可能。

There are two types of gold deposits in this area, namely altered rock type and quartz vein type.

本区金矿床包括两种类型：柴胡栏子金矿床为蚀变岩型金矿；莲花山和红花沟金矿床属石英脉型。

You were home and it was two weeks ago.

你回到了家里。当时是两周前。