二项分布

NMath Stats contains a data table class with functions for computing descriptive statistics, such as mean, variance, standard deviation, percentile, median, quartiles, geometric mean, harmonic mean, RMS, kurtosis, skewness, and many more; PDF, CDF, inverse CDF, and random variable moments for a variety of probability distributions, including normal, Poisson, chi-square, gamma, beta, Student's t, F, binomial, and negative binomial; Combinatorial functions, such as factorial, log factorial, binomial coefficient, and log binomial; Multiple linear regression; Basic hypothesis tests, such as z-test, t-test, and F-test, with calculation of p-values, critical values, and confidence intervals; One-way and two-way analysis of variance and analysis of variance with repeated measures; Multivariate statistical analyses, including principal component analysis and hierarchical cluster analysis.

nmath统计包含一个数据表的阶层与职能计算描述性统计，如平均，方差，标准差，百分位，中位数， 25 ％，几何平均数，调和的意思是，有效值，峭度，偏度，还有更多的； PDF格式，民防部队，逆民防部队，并随机变量矩的各种概率分布，包括正常，泊松，卡方检定，伽玛，测试版，学生的吨，男，二项式，并负二项分布；组合的功能，例如阶乘，日志阶乘，二项式系数，并登入二项式；多元线性回归；基本假设测试，如的Z测试， t检验， F检验，计算p值，临界值，和置信区间；之一，双向和双方法方差分析和方差分析与反复的措施；多元统计分析，包括主成分分析和聚类分析。

Objective To study the distribution of Oncomelania hupensis with generalized negative binomial distribution, and provide the theoretical support for quantitative study.

目的 介绍并应用广义负二项分布研究湖北钉螺的分布规律，为定量化研究提供理论依据。

The relationship between the negative binomial distribution and the time-dependent Poisson distribution was further discussed.

并进一步阐明了负二项分布与时依Poisson分布的关系。

Based on negative binomial distribution and analysis of two statistical experiment results,a statistical model of the cluster parameter is gven as a function of chip area for VLSI yieldand defect distribution is given.

本文以负二项分布为基础，在对两个实测统计结果进行分析的基础上，给出了VLSI成品率与缺陷分布统计中有关成团因子与芯片面积关系的模型。

Syzigachne was dispersed as negative binomial distribution, because of affections of environment including tillage, crop planting, fertilizer application, weed control, and other natural elements.

草在田间的空间分布型为负二项分布，其聚集的原因主要是环境的影响，包括人为的翻耕、作物种植、施肥、除草等及其它自然因素的作用。

In second chapter, we use the statistical properties calculated in first chapter to compare the premiums and Lundberg exponents of each model in the Poisson distribution case, then compare the premiums in the negative binomial distribution case.

在第二章中，利用第一章中已计算的量，首先比较了理赔次数服从泊松分布时，盈余模型的保费和Lundberg指数的大小关系，其次比较了理赔次数服从负二项分布时，盈余模型的保费的大小关系。

The results showed that the larvae in all orchards were in aggregation distribution pattern and fitted for negative binomial distribution tested by chi-square, which was due to the life habit of the larvae and environmental factors.

结果表明：桃蛀螟幼虫种群在板栗园中全部呈聚集分布，而且均符合负二项分布，其聚集原因是由该虫习性与环境因素共同造成的。

Among 6 methods used to measure the pattern, the application of variance/mean ratio together with the x^2 test for goodness-of-fit to negative binomial distribution were deemed the best as their ecological meaning is explicit.

在判定物种分布格局的5种方法中，以方差／均值比率和负二项分布的检验联合运用效果较好，不仅生态学意义明显，而且结果具有严格的统计学意义。

The soil pH, CEC and organic matter content ranged from 7.7 to 8.6, 11.9 to 28.7 cmolkg^(-1), and 3.0 to 27.9 gkg^(-1), and followed normal distribution, log-normal distribution, and negative binomial distribution, respectively. These three properties were significantly affected by land use type, landform, and soil type.

结果表明：黄土高原小流域土壤pH、CEC和有机质分别介于7.7~8.6、11.9~28.7cmolkg^(-1)和3.0~27.99kg^(-1)，分别服从正态分布、对数正态分布和负二项分布。3种土壤性质随地形、土地利用方式和土壤类型的不同差异很大。

We presented a method to compute the premium coefficient for each level of the scale when the claim frequency distribution is assumed to conform negative binomial distribution or the nonparametric mixed poisson distribution, the theoretic models of bonus-malus systems are applied to the practical bonus-malus systems model with limited scale by this way.

提出了当索赔次数服从负二项分布和非参数混合泊松分布时确定奖惩系统各等级费率系数的方法。

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。