查询词典 probability distribution function

Based on the flaw of the probability reliability model in the case of small amount of information,non-probability and mixed probability/non-probability reliability models are presented. When the uncertainty of the basic random variable is described by convex, analytical and numerical methods are constructed to calculate the convex of response variable. The infinite norm index, which is the minimal infinite norm distance from original coordinate point to the surface of the limit state in the standard interval space, is presented to measure the safety of the structure.

针对概率可靠性模型在小子样信息下的缺陷，建立了非概率可靠性模型及概率—非概率混合可靠性模型；给出了用集合来描述变量不确定性时，极限状态变量变化集合的解析解和数值迭代解法；提出了物理概念明确且十分易于工程应用的度量结构、机构安全程度的无穷范数指标，它是标准区间空间中坐标原点到极限状态表面的最小无穷范数距离。

An impossible event has a probability of exactly 0, and a certain event has a probability of 1, but the converses are not always true: probability 0 events are not always impossible, nor probability 1 events certain.

一个'不可能'事件其机率值为0，而'确定'事件其机率值则为1。但反推并不成立，也就是说机率值为0的事件不表示它就是一个'不可能'事件，同理，机率值为1的事件不表示它就一定发生。

An ''impossible'' event has a probability of exactly 0, and a ''certain'' event has a probability of 1, but the converses are not always true: probability 0 events are not always impossible, nor probability 1 events certain.

但反推并不成立，也就是说机率值为0的事件不表示它就是一个'不可能'事件，同理，机率值为1的事件不表示它就一定发生。

This paper introduced the appliance of probability and statistics in reality,including classical model,formula of total probability, normal distribute,mathematics expectation and the central limit theorem.While it also discusses the widely uses of probability and statistics and the close relationship with the real life.Therefore,it lays the theoretical foundation for the practical uses with probability and statistics,and the basis of mathematics model.

本文介绍了概率统计的某些知识在实际问题中的应用，主要围绕古典概型，全概率公式，正态分布，数学期望，极限定理等有关知识，探讨概率统计知识在实际生活中的广泛应用，进一步揭示概率统计与实际生活的密切联系，为应用概率知识解决实际问题，数学模型的建立，学科知识的迁移奠定一定的理论基础。

The main topics include probability space, discrete distribution, continuous distribution, multivariable distribution conditional distribution and the sampling distribution theory.

课程方要课题含机率空间、离散分布、连续分布、多变量分布及抽样分布等的简介。

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。

Through the research of binomial probability distribution function,it has been proved that the PDF is a monotone increasing function of probability p and allowable failure time r in test,and is a monotone decreasing function of test time n.

通过对二项分布函数的研究，证明它是关于概率p和试验中允许失败次数r的单调增函数，是关于试验次数n的单调减函数。

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。

Suppose is two-dimension random variable, call the probability distribution of measure X marginal distribution on X for ; the probability distribution of measure Y

Definition 2.10 设是二维随机变量，称分量的概率分布为关于的边缘分布；分量的概率分布为关于的边缘分布。

Suppose is two-dimension random variable, call the probability distribution of measuremarginal distribution on for ; the probability distribution of measure Y marginal

Definition 3.6 设是二维随机变量，称分量的概率分布为关于的边缘分布；分量的概率分布为关于的边缘分布。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样