概率分布

On the basis of equal probability principle, Boltzmann statistics and ensemble statistics, this paper has derived the statistical distribution function on multimember system in the quasi-independent particles and obtained the equivalence between Boltzmann statistics and ensemble statistics for multimember system.

文摘：利用平衡态统计物理的等概率原理，玻耳兹曼统计法和系综统计法，导出在平衡状态下多种近独立粒子系统的粒子数分布。结果表明，对于宏观系统而言，玻耳兹曼统计和系综统计是等价的。

Based on predecessors'work, and the plant data of total conversion rate and number-averaged molecular mass, the Cauchy distribution of micro cores is proposed in terms of the principle of probability and statistics. The macro kinetic model with expressions of the total conversion rate and number-average molecule mass is derived from the macro mixed method.

在总结分析前人成果的基础上，利用生产现场采集的转化率与平均分子量的人工分析值，基于概率统计原理提出了丙烯腈连续水相聚合过程中聚合体微团转化速率的Cauchy分布，并由此用宏观混合法导出了由总转化率和平均分子量的表达式组成的动力学模型。

This paper proposes a new probability model-Multivariate compound extreme value distribution to predict 'typhoon-induced rainfall for the Wenzhou City in Zhejiang Province.

作者采用多维复合极值分布理论(Multivariate compound extreme value distribution)，以受台风暴雨危害较严重的浙江温州地区为例，对台风诱发暴雨的降水量进行了概率预测。

Typhoon ; Defense Criteria ; Extreme Wind Velocity ; Compound ExtremeValue Distribution ; Joint Probability

国家自然科学；台风；设防标准；极值风速；复合极值分布；联合概率

By the geometric probability model,the intuitionistic method is provided for the marginal density function and conditional probability density function .

利用几何概型得出均匀分布的边缘密度函数和条件概率密度函数的直观求法。

Adopt the generalized maximum likelihood radio test based on the Neyman-Pearson algorithm, to study two unresolved Rayleigh targets. And deduced the detection statistic which is chi-square random variable, which only need to know the conditional probability density functions of echo's measured amplitude, in-phase and quadrature of monopulse radio, but the signal-to-noise radio and the direction-off-arrival of any signal are unnecessary.

采用基于涅曼-皮尔逊准则的广义似然比检测，对不可分辨的两个瑞利目标进行了研究，推出了服从χ2分布的检验统计量，此方法只需要知道目标回波信号测量幅值的条件概率密度函数、单脉冲和差比值的同相和正交部分，而不需要任一目标信号的信噪比和DOA的先验知识。

The packet data loss is modeled as a Bernoulli distributed white sequence with a known conditional probability distribution.

测量数据的丢失假设满足已知概率的Bernoulli分布。

In this paper,we use the historical data to get the experiential distribution function of conditional revenue ratio when we can not determine the type of the allied distribution of the price and revenue ratio,and then we calculate the VaR under a certain price level of the price.

1研究意义VaR是目前证券投资风险管理的重要工具，在数学上，表示为投资组合收益率分布的下α分位数，表达式为：P=α(VaR 0)图1 VaR的图形表示其中，ΔP表示在Δt时间内，某个金融资产的市场价值的变化，α为给定的概率，如图1所示。

This article points out several approximately arithmetic about confidence probability and confidence interval of normal distribution for evaluation of uncertainty.

本文提出了不确定度分析中常用的正态分布置信概率、置信区间的几种近似算法。

By means of equilibrium outcome analysis of merger game, it gives the decision basis that rational firm strategically selects merger model and analyze the interests conflict between consumers and firms and government under the equilibrium merger model in the imperfect information analysis, by means of the prior probability of firm marginal cost described by continuous distribution function, the passage clarifies the relations between pre-emptive merger with rational expectation and equilibrium merger model, in the vertical relation industry.

在对不完全信息下企业兼并博弈的分析中，通过以连续分布函数形式描述的企业边际成本的先验概率，本文给出了具有纵向关系的产业中，具有理性预期的先置兼并作用及与均衡的兼并模式之间的关系。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。