查询词典 probability function

Discovering passage of event happened by tracing along terminal point of event on probability tree, utilizing multiplication formula and addition of probability again, the probability of an event may be caculated and some problems that students grasp with difficulty and make easily mistakes can be solved.

用概率树法求事件发生的概率，只需在概率树上沿事件的终点向前回溯，便可以发现事件发生的通道，再利用概率的乘法公式和概率的可加性，就解决了概率论中学生很难掌握的、容易出错的问题。

It was shown that the great variation of effective unit weight and angle of internal friction of soil could result in the increase of seepage failure probability of earth dams, the effect of variation of angle of internal friction of soil was greater, and the seepage failure probability of earth dams was sensitive to variability of dam seepage. In addition, the increase of water level in reservoir would also induce great increase of seepage failure probability of earth dams.

结果分析表明，坝体渗透破坏的概率随着土体有效重度和内摩擦角变异性的增加而增加，并且土体内摩擦角的变异性对坝体渗透破坏的影响较大，坝体渗透变异性对坝体渗透破坏的影响较大；另外，随着库水位的升高，坝体发生渗透破坏的概率也显著增加。

To the question of non-Nash equilibrium in prisoners' dilemma, this paper makes an analysis to Game Theory's hypothesis: complete rationality, complete information and probability, and gets a result: systems thinking style in complete rationality, the happen of the event of zero probability, and the uncertainty that is brought out when complete information is concordant beliefs, all can bring the appearance of non-Nash equilibrium, and the probability of appearance is decided by the proportion of men who think in systems thinking style.

本文就"囚徒困境"中非纳什均衡出现的问题，对博弈的前提假设完全理性、完全信息以及概率进行了分析，得出的结论是：完全理性中的整体思维方式和概率为零的事件的发生以及完全信息等于一致信念时引起的不确定性，都可能导致非纳什均衡出现，而其出现的可能性则取决于采取整体思维方式的人的比例。

To the question of non-Nash equilibrium in prisoners' dilemma, this paper makes an analysis to Game Theory's hypothesis: complete rationality, complete information and probability, and gets a result: systems thinking style in complete rationality, the happen of the event of zero probability, and the uncertainty that is brought out complete information is concordant beliefs, all can bring the appearance of non-Nash equilibrium, and the probability of appearance is decided by the proportion of men who think in systems thinking style.

本文就"囚徒困境"中非纳什均衡出现的，对博弈的前提假设完全理性、完全信息以及概率进行了，得出的结论是：完全理性中的整体思维方式和概率为零的事件的发生以及完全信息等于一致信念时引起的不确定性，都可能导致非纳什均衡出现，而其出现的可能性则取决于采取整体思维方式的人的比例。

Lastly, the paper also studies on a generalized discrete insurance risk model of two-type claims, the problems are resolved, such as the survival probability、ruin probability when the initial capital is zero and the ultimate ruin probability.

最后，对广义复合双险种负二项风险模型进行研究，得到了盈余过程的性质、初始准备金为零时的生存概率及破产概率的表达式。

This paper studys the terrain following for low penetration aircraft ,and establishes the model of ALCM's clobber probability based on the Butterworth terrain model . It simulates much of the computation of its clobber probability under typical cruise conditions and analyzes those simulation results deeply. The control system is designed based on the lobber probability simulation result,and the reasonable control data are given.According to those research,the digital terrain following simulations are given .

文中研究飞行器低空突防的地形跟随问题，基于布特沃斯地形模型，建立了飞行器撞地概率仿真模型，在各典型巡航条件下进行了大量的撞地概率仿真计算，并对仿真结果进行了深入地统计分析和研究，在此基础上，设计了相应的控制系统并确定了合理的控制参数，对飞行器地形跟随进行了飞行仿真。

The computation of posterior probability considers the evidence E certain without dealing with uncertain evidence,in terms of this,the posterior probability is split the difference according to the probability of evidence appearing in Bayesian network and its extension network of Credal network,and is expressed by Credal set so as to provide the base of decision-making for decision-maker.

任何变量的后验概率计算都假定证据变量E是确定的，无法处理不确定证据下的后验概率。针对这个问题，提出在贝叶斯网络及其扩展的Credal网络中应用证据出现的概率对后验概率进行折中处理，并用不确定的Credal集表达其结果，从一定程度上为决策人员提供有意义的决策依据。

The computation of posterior probability considers the evidence E certain without dealing with uncertain evidence,in terms of this,the posterior probability is split the difference according to the probability of evidence appearing in Bayesian network and its extension network of Credal network,and is expressed by Credal set so as to provide the base of decision-making for decision-maker.

中文摘要：任何变量的后验概率计算都假定证据变量E是确定的，无法处理不确定证据下的后验概率。针对这个问题，提出在贝叶斯网络及其扩展的Credal网络中应用证据出现的概率对后验概率进行折中处理，并用不确定的Credal集表达其结果，从一定程度上为决策人员提供有意义的决策依据。

From the probabilistic equation of debris-flow occurrence, the curves of probability-slope-water level were obtained. One can see the influences of water level and sediment-layer slope on the probability of occurrence from the curves. The influence of coefficients of variation on occurrence probability are also shown in this paper.

由土石流发生机率方程式，推求土石流发生机率－坡度－水位曲线，并藉以探讨参数之变异系数对土石流发生机率之影响，及评估土层在水位、坡度的变化下，土石流之发生机率。

Monte Carlo is a method that approximately solves mathematic or physical problems by statistical sampling theory. When comes to Bayesian classification, it firstly gets the conditional probability distribution of the unlabelled classes based on the known prior probability. Then, it uses some kind of sampler to get the stochastic data that satisfy the distribution as noted just before one by one. At last, it can obtain the posterior probability distibution of each unlabelled classes by analysing these stochastic data.

蒙特卡罗是一种采用统计抽样理论近似求解数学或物理问题的方法，它在用于解决贝叶斯分类时，首先根据已知的先验概率获得各个类标号未知类的条件概率分布，然后利用某种抽样器，分别得到满足这些条件分布的随机数据，最后统计这些随机数据，就可以得到各个类标号未知类的后验概率分布。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。