二项分布

Methods According to the Bayesian conjugate prior distribution principle, the estimating methods of prior parameters of the conjugate beta distribution Be of the binomial distribution was given by writing the SAS programs.

根据贝叶斯共轭先验分布原理，对二项分布的共轭贝塔分布中的α、β两个先验参数的确定方法进行分析比较，编写SAS程序确定先验参数。

We will see how data can be characterized as observed values of random variables and study three important probability distributions: the uniform distribution, the binomial distribution, and Normal distribution.

我们会看到资料如何表现随机变数观测值的特征，并且研读三种重要的概率分布：均匀概率分布，二项分布与正态分布。

In this paper, for the number of indemnity taking negative binomial distribution and Possion distribution, we discuss some probability problems in students' safety insurance by the normal distribution of probability theory.

本文主要对理赔人数服从负二项分布和泊松分布，运用概率论中的正态分布讨论学生平安保险业务中的概率问题，如保险公司的赔钱或亏本问题、赔钱的最小值问题、保险公司的获利率和赔偿率与投保人数的关系问题等。

The system is controlled by continuous review installation stock policies. This paper presents an improved approximated method that the leadtime demand of warehouse is approximated by the normal distribution, and the leadtimes demand of retailers are approximated based on negative binomial distribution.

论文给出改进的近似方法，即用正态分布近似分销中心提前期内需求的分布，用更符合实际的负二项分布近似零售商提前期内需求分布，从而建立了二级分销系统期望总成本近似模型。

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。

The spatial distribution parameters, parameters of Iwao model and Taylor's power law were used to analyze the spatial pattern of the lavae of Argopistes tsekooni Chen in glossy privet. The results showed that its spatial pattern was negative binomial distribution, with colony as its basis component and its colony distribution was random.

应用空间分布参数、Iwao回归法和Taylor幂法进行分析表明，女贞瓢跳甲幼虫在大叶女贞上呈负二项分布，分布的基本成分为个体群，且个体群为随机分布。

The negative binomial distribution, gamma distribution, and log-normal distribution were chosen as error distributions according to log-linear regression of variance versus log-mean of CPUE.

根据鲐鱼单位捕捞努力量渔获量数据呈正偏，以及CPUE均值与方差在对数尺度下的线性关系，选择了负二项分布、伽马分布与对数正态分布作为误差分布。

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。

Based on the distance of Kullback-Leibler, this paper give the exact definition of the maximum Kullback-Leibler distance between two different distribution functions and prove that this one has analytic properties such as symmetry, triangle inequality which is the same as the Euclidean distance. By the definition, the maximum Kullback-Leibler distance between some conventional distributions, such as two different binomial distributions, two different normal distributions are obtianed.

在Kullback-Leibler距离的基础上，定义了两个概率分布之间的最大Kullback-Leibler距离，证明了这个距离具有欧式距离的对称性，三角不等式性等分析性质，依照该定义，计算了两个不同的二项分布，两个不同的正态分布等一些常见分布之问的最大Kullback-Leibler距离。

The equations of heterosis areV(subscript F1)=(l/2)Na^2+(l/4)Nd^2+Vsubscript I(F1additive dominance F1 epistasisV=(1/2)Na^2+(l/2)V1,additive parental epistasisV=(1/4)Nd^2+Vsubscript I(F1+(1/2)Vl,dominance F1 epistasis parental epistasis.where N is number of genes controlling a trait,α=P(subscript i-P/2, d is deviation from midparent, while the variance components are all indicated by their names under the repective terms.

由一个二项分布随机变数及其推广至多项分布推导出杂种优势的公式：V(下标 F1)=Na^2/2+Nd^2/4+V下标(F1加性显性 F1上位V＝Na^2/2+V/2加性亲代上位V＝Nd^2/4+V下标(F1+V/2显性 F1上位亲代上位在此N=控制性状的基因数，α=p(下标 i-P/2， d=离中亲的偏差，而各方差则如方程底部所列。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。