查询词典 negative binomial distribution

Through a probability problem,a connection is showed between binomial distribution and negative binomial distribution and therefore a composed formula is set up,which is proved by way of probability and algebra.

通过一个概率问题，给出二项分布与负二项分布的一种联系，从而建立一个组合公式，并由概率思维方式与代数方式给出证明

Result］Like most of C3 plants, the diurnal changes curve of NPR of Lonicera japonica Thunb. showed double peaks, but there were time difference in reaching the peak value between the study and previous ones. The responding mathematical model of NPR to photosynthetic valid radiation could be described by three mathematic functions , such as logarithm, linearity and binomial,but binomial function was more precise than the others. Light saturation point of Lonicera japonica Thunb. was figured out by binomial equation deduced in the study, and light saturation point was 1 086.3 μmol/(m2·s).

结果］与多数其他C3植物一样，金银花净光合速率日变化曲线呈双峰型，但在具体达到峰值的时间上与前人的结果有差异；金银花净光合速率对光合有效辐射的响应可用对数、线性、二项式3种数学函数来描述，但以二项式描述更确切；根据前面得到的二项式方程，计算出了金银花的光饱和点为1 086.3 μmol/(m2·s)。

In chapter 2, the basic ideas of binomial pricing model are concerned, we discuss binomial pricing model of discrete up-and-out calls and show the formula, it extends binomial pricing model of European option. It is then followed by the discussion of the structure and thought of trinomial pricing model, the formula of barrier option is derived. At last, we provide mixed trinomial pricing model.

第二章，首先介绍了二项式定价模型的基本思想，推导出了障碍期权的二项式定价公式，此式推广了标准的二项式定价公式；其次，介绍了三项式定价模型的构造及基本思想，得出了障碍期权的三项式定价模型；最后，推广了三项式定价模型，提出了混合型三项式定价模型。

Then,we improve CSFP Model in two aspects:when we ascertain the frequency of default,we use negative binomial distribution to substitute Poisson distribution so that the model can measure the data better;when we ascertain the loss distribution of default,we use Γ-distribution to substitute normal distribution.

其创新与特色一是对贷款组合的风险暴露数进行分段，在每一频段上分别确定风险暴露数分布，进而可以更准确的描述各笔贷款的风险暴露数。二是在确定风险暴露数分布时，用Γ分布替代了传统的正态分布，解决了贷款违约的风险暴露数分布的厚尾问题，进而解决了大宗贷款违约的风险度量问题。三是确定违约频率时，用负二项分布来代替传统的泊松分布，解决了违约频率的方差通常要大于其均值的分布拟合问题。

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 fiber length has only little influence on the basic density within the growth rings, and significant correlation at 0.01 levels was found between the basic density and the fiber length among the different rings. Only slight negative correlation was found between the basic density and the fiber width within the growth rings, but significant positive correlation at 0.01 levels was indicated between the basic density and the fiber width among the growth rings, contrary to that of fiber length. It was demonstrated that significant positive correlations at 0.01 levels between the basic density and fiber double wall thickness, fiber length to width ratio and double wall thickness to diameter ratio, significant negative correlations at 0.01 levels between the basic density and fiber diameter and diameter to width ratio, only slight negative correlation between the basic density and fiber width both in the same growth rings and among the different growth rings. No significant correlation was found between the basic density and the vessel morphological features, nor was the tissue proportion in the same growth rings. But among the different rings, it was found there was significant positive correlation at 0.01 levels between the basic density and the fiber proportion among the different rings, and significant negative correlation at 0.01 levels between the basic density and vessel-elements proportion and ray proportion, only slight negative correlation between the basic density and the parenchym proportion. Significant or no significant negative correlation was found between the basic density and the microfibril angle in the same growth rings, but significant negative correlation was found between the basic density and the microfibril angle among the different growth rings.

生长轮内纤维长度对基本密度的影响不大，而在不同生长轮间纤维长度与基本密度达极显著正相关，纤维宽度与此相反，同一生长轮内纤维宽度与基本密度极显著负相关，不同生长轮间只有微弱负相关；基本密度与纤维双壁厚、长宽比、壁腔比在生长轮内和生长轮间均呈极显著正相关，而与胞腔直径、腔径比均呈极显著负相关，仅与纤维宽度呈微弱的负相关；导管形态对基本密度的影响不显著；同一生长轮内组织比量对基本密度的影响也不显著，但不同生长轮间基本密度与纤维比量呈极显著正相关，与导管比量和木射线比量呈极显著负相关，与轴向薄壁细胞比量仅呈不显著负相关；生长轮内基本密度与微纤丝角呈显著或不显著负相关，但在生长轮间这种负相关达到极显著水平。

the 160 women judoists are tested for mental fatigue and personality tests, and the paper tries to reveal their situation of mental fatigue, personality characteristics, and the relationship between them.it is analyzed that chinese elite judoists have no severe mental fatigue; judoists' negative evaluation on emotional/physical exhaustion and sport increase significantly one week before competition than two months; among personality factors, excitability predicts the decrease of achievement and emotional/physical exhaustion reliably on negative; the stability predicts sport on negative; tension predicts emotional/physical exhaustion on positive; adaption and anxiety in dimension personality predicts in positive both in the decrease of achievement and emotional/physical exhaustion and internal extraversion does them in negative; health personality in applied dimension personality predicts in negative in the decrease of achievement, emotional/physical exhaustion and negative evaluation of sport when mental fatigue, stability and sensitivity predicts the decrease of achievement in negative; only internal extraversion in dimension personality predicts the decrease of achievement and emotional/physical exhaustion in positive.

摘 要：以160名女子柔道运动员为被试，进行运动员心理疲劳以及人格测试，并尝试揭示女子柔道运动员的心理疲劳状况、人格特征以及二者之间的关系。分析得出：我国优秀柔道运动员心理疲劳程度并不严重；运动员在临赛前一个星期较赛前二个月情绪/体力耗竭以及运动的负评价显著提高；人格因素中的兴奋性对成就感的降低以及情绪/体力耗竭两维度均有可靠的负向预测作用；稳定性对运动的负评价维度具有可靠的负向预测作用；紧张性对情绪/体力耗竭有可靠正向预测作用；次元人格中适应与焦虑对成就感的降低以及情绪/体力耗竭均有可靠正向预测作用，内外向性对成就感的降低、情绪/体力耗竭以及运动负评价都有可靠负向预测作用。应用性次元人格中健康者的人格对运动员心理疲劳的对成就感的降低、情绪/体力耗竭以及运动负评价均有可靠的负向预测作用；稳定性、敏感性对临赛前成就感的降低维度的变化有可靠的负向预测作用；次元人格中只有内外向性对临赛前成就感的降低以及情绪/体力耗竭维度的变化有可靠的正向预测作用。

In the Mu Us desert, either vertical distributions of soil moisture isogram before irrigation or vertical distributions of soil moisture isogram after irrigation shows obviously vertical-layered character. When the irrigation is finished 24 hours later, there is little correlation between vertical distributions of soil moisture isogram before irrigation and vertical distributions of soil moisture isogram after irrigation. All of probability distribution of soil water content before irrigation are left-skewed distribution, but some of probability distribution of soil water content after irrigation is left-skewed distribution, some is right-skewed distribution or normal distribution. The distributed pattern shows different between the probability distribution of water depth of rain gauge and that of soil moisture in horizontal section of different depth. There is close correlation between the distribution of water depth of rain gauge and that of soil moisture in horizontal section, but the correlation debases as the horizontal section turns deeper. Also after irrigation close correlation occurs between the distribution of soil moisture of layers bordering upon each other, but which reduces with space of different layers being larger.

在毛乌素沙地，喷灌前后土壤含水率等值线垂直分布均具有显著的垂直分层特征；在喷灌结束24h后，喷灌前土壤含水率的垂直分布与喷灌后土壤含水率的垂直分布间地相关性较弱；灌水前土壤初始含水率的概率分布形态均表现为较典型的左偏态分布，灌后土壤含水率分布形态表现为左偏态、右偏形态或正态分布；雨量筒水深概率分布与土壤不同深度剖面层水平方向的含水率概率分布在形态特征上表现出一定程度的差异，雨量筒水深分布与水平层土壤含水率分布、灌后相邻深度层土壤含水率分布、之间的相关程度较高，其相关性随着剖面深度和层间距的增加而降低。

In this paper, a computer programme is discussed, which, as a mathema-tical model, can be used to calculate the probability distribution as respects random variable-normal, lognormal, binomial, negative binomial and Poisson distributions, and can be used for x2 test of goodness of fit as well.

本文是计算随机变量概率分布的数学模型—正态分布，对数正态分布、二项分布、负二项分布。普阿松分布及检验X~2适度检验的一个计算机程序。

The results showed that the spatial distribution patterns of cochineal in cactus belonged to aggregation distribution, the basic component of distribution was individual population, the probability distribution was in accorded with negative binomial and the cochineal mainly distributed the second and third stem in cactus.

结果表明，该虫在寄主仙人掌茎片上的空间分布型属于聚集分布，分布的基本成分是个体群，概率分布符合负二项分布，主要分布在仙人掌的第2和第3级茎片上。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。