分布

It make a formally unification between discrete distribution and continuous distribution at the definition of failure rate function.

四。借助广义δ函数，首次提出了离散型分布失效率函数的一种新的定义，这种定义使离散型分布与连续型分布的失效率函数定义在形式上得到统一，这种形式上的统一使得离散型寿命分布中各特征函数之间的关系与连续型寿命分布中各特征函数之间的关系完全相同。

The 7-day low flow was regarded as statistical quantity, on the base of analysis of the discordancy measure and heterogeneity measure, the regional low flow frequency for Donjiang basin was carried out using L-moments based five frequency distributions with three parameters viz. Generalized Pareto, Generalized extreme-value, Generalized Logistic, Lognormal (LN3) and Pearson type Ⅲ. Based on the L-moments ratio diagram,{Z} and τ4-statistic criteria, LN3 distribution was identified as the most appropriate distribution for the homogeneous region with the 14 sites.

以年最小七日平均流量作为枯水径流的统计特征量，在水文站点一致性分析、水文相似区鉴别的基础上，以常见的5种三参数分布函数：Generalized Pareto分布、Generalized Extreme-Value分布、Generalized Logistic分布、LogNormal分布(LN3)和Pearson type Ⅲ为研究对象进行东江流域区域枯水频率分析。

Two of Pareto Distribution Family have often be...

Pareto分布族中的两个分布已被列入精算师常用的八大分布之中，由此可见Pareto分布族的实际应用价值，也说明了我们对Pareto分布族研究的重要意义。

Taking WindowsXP,Microsoft EXCEL and VBA as tools,a series of software system on hydrologic frequency analysis which integrated the ability of graph and calculation was developed.And it contained four kinds of frequency distributions:Γ-distribution,extreme value distribution,normal distribution and logarithmic normal distribution.

以Windows XP，Microsoft EXCEL和VBA为开发环境，研制了一套集绘图与计算于一体的水文频率分析软件，其中包含了常用的Γ分布、极值分布、正态分布和对数正态分布4种频率分布线型。

The Gayal separated the yaks far away and formed one cluster and 9 yak breeds grouped together. Analysis of population structure for 9 yak breeds shows that there inferred three clusters, one cluster includes yaks in Tibet Autonomous Region and Qinghai Province, the other cluster combines Zhongdian, Maiwa and Tianzhu White, and Jiulong and Xinjiang come into the third cluster.

进一步分析9个牦牛和大额牛的群体结构发现：10个种群可分为4个亚群体，一类是青藏高原的牦牛，一类包括中甸牦牛、麦洼牦牛和天祝白牦牛，第三类包括九龙牦牛和新疆牦牛；帕里牦牛主要分布在第一亚群体中，占90%，九龙牦牛主要分布在第二亚群体中，占87.1%，中甸牦牛主要分布在第三亚群体中，占83%，其他品种分布在2至3个亚群体中；大额牛独立分布在第四群体中，占99.3%。

Generalized Linear Models are an extension of the linear modeling process that allows models to be fit to data that follow probability distributions other than the Normal distribution, such as the Poisson, Binomial, Multinomial, and etc.. Generalized Linear Models also relax the requirement of equality or constancy of variances that is required for hypothesis tests in traditional linear models. Hypothesis tests applied to the Generalized Linear Model do not require normality of the response variable, nor do they require homogeneity of variances.

广义线性模型是线性模型的扩展，对数据的要求不必局限于服从正态分布，同时放松了对"方差一致性"的要求，这在传统的一般线性模型假设检验中是必不可少的，而在广义线性模型假设检验中，响应变量也可以服从其它分布（如：泊松分布，二项分布及多项分布等）。

And the evaluation effects of China's Stock Market's volatility by different ARCH models from different point of view are compared. In addition, by using two mixed distribution models, the leptokurtosis and fat-tail of stock return are examined. Based on the above analysis, an improved Laplace distribution model is proposed. Furthermore, the root generating non-Gaussian return distribution of the stock market ? is expounded from the perspective of both economy and capital market.

首先分别从分布和波动性模型出发，研究中国股票市场收益分布特征与波动性特征：从ARCH族模型出发，考察了中国股票市场波动性的异方差、集群性、杠杆效应以及长记忆性特征；从两个混合分布模型出发，结合随机模拟考察了收益分布的尖峰、厚尾和偏态特征，并提出了改进型LapJace分布。

Especially since Lindley and Smith (1972) addressed the thought of hierarchical prior distribution and Han (1997) provided the methods to construct hierarchical prior distribution, more achievements have been made on hierarchical Bayesian methods to be used for solving zero-failure data problem.

所谓λ的多层先验分布的构造方法——减函数法，主要是选取λ的减函数作为λ的第一层先验密度函数的核，第二层先验分布——第一层先验分布中超参数的先验分布取均匀分布。

In the studies for Fe_3O_4 nano-particles, the Preisach distribution was the product of the interaction field and coercive filed distribution, and the interaction field distribution was logarithmic;the coercive filed distribution were Gaussian.

在对Fe_3O_4颗粒的研究中，矫顽场的分布采用对数分布，相互作用场的分布采用Gaussian分布形式，Preisach分布函数为二者的乘积。

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。

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％。