查询词典 probability function

Then we systematically study state transition probability of two-unit series system and paralleled system and stable availability of system, and drew the following conclusions:Firstly, we present the partial differential equation which satisfies state transition probability of the two-unit series system, and proves that state transition probability satisfy the equation, and are their minimal nonnegative solutions.

第一，对两个不同型部件、一个修理设备组成的串联系统，其寿命和修理时间的分布函数的各种情况，给出了状态转移概率所满足的偏微分方程组，证明了状态转移概率满足的方程，并且是这些方程的最小非负解。

Then we systematically study state transition probability of two-unit series system and paralleled system and stable availability of system, and drew the following conclusions:Firstly, we present the partial differential equation which satisfies state transition probability of the two-unit series system, and proves that state transition probability satisfy the equation, and are their minimal nonnegative solutions.

然后对两个不同型部件、一个修理设备组成的串联系统和并联系统的状态转移概率，以及系统的稳态可用度进行系统研究，得到了如下一些结果。第一，对两个不同型部件、一个修理设备组成的串联系统，其寿命和修理时间的分布函数的各种情况，给出了状态转移概率所满足的偏微分方程组，证明了状态转移概率满足的方程，并且是这些方程的最小非负解。

In order to solve dynamic, complicated and uncertain problems, multi-agents based distributed intelligence decision support systems, description and decomposition of complicated decision tasks, and cooperation and reasoning among multi-agents are elaborated in this paper. The details are given as follows. 1. Agent and ABDIDSS modelsIn allusion to the current problems of research on agents theory models, payoff and probability factors are introduced on the basis of mental state models of classical BDI of agent and joint BDI of multi-agents in this paper, mental state models of individual agents and joint metal state models of group agents based on payoff and probability factors are built up. Introducing payoff and probability factors satisfies requirements of uncertainty and self-benefit of agents to the environments.

本文针对动态的、复杂的以及不确定问题，以基于多Agents的分布式智能决策支持系统及复杂决策任务的描述与分解、多Agents之间的协作与推理机制为研究内容，具体的研究内容如下： 1、Agent和ASDIDSS模型针对当前多Agents理论模型研究存在的问题，文章在经典Agent的BDI以及联合BDI等心智状态模型基础上引入效用与概率因子，建立基于效用与概率因子的个体Agent的心智状态模型以及群组Agent联合心智状态模型，引入效用与概率因子满足Agent对环境的不确定性以及自利性的要求。

Topics include: sample spaces, axioms of probability, conditional probability and independence, discrete and continuous random variables, jointly distributed random variables, characteristics of random variables, law of large numbers and central limit theorem, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

概率论部分作为基础知识，是全部内容的重点之一，为读者提供必要的理论基础；数理统计部分，主要介绍常用的统计推断方法：参数估计、假设检验、方差分析、回归和相关分析等内容。

Firstly, after the analysis on probability distribution of GenCos' bidding results, a concept of bid acceptance probability distribution function of GenCos is proposed; then based on the features of bidding structure in day-ahead and real-time markets, a multi-objective bi-level programming bidding strategy model in day-ahead and real-time markets for GenCos is built for electricity markets in which the step-wise bidding function and pay-as-bid settlement protocols are utilized; and then in order to solve the proposed model an algorithm based on Monte Carlo method and genetic algorithm is designed; finally, the simulation of numerical examples are performed to verify the correctness of the proposed model and algorithm.

首先在分析了发电商竞价结果的概率分布之后，提出了发电商竞价成功概率分布函数的概念。然后基于日前和实时市场中投标结构的特点，针对采用分段报价和按报价结算(pay as bid price，PAB)方式的电力市场，建立了日前和实时市场中发电商的多目标二层规划竞价策略模型，并设计了以蒙特卡罗方法和遗传算法为基础的求解算法。最后采用算例对所提出的模型和算法进行了仿真验证。

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。

Normal distribution in statistics is based on the probability density function in the form of representation, and set up a continuous random variable X, the probability density function f has the form of Figure 1, where a, b are constants and were known as the average value and standard deviation,π, e, respectively pi and natural constants, claimed that X subject to parameters a, b of the normal distribution.

正态分布在统计学中是以概率密度函数的形式表述的，设连续型随机变量X的概率密度函数f有图1中的形式，其中a、b为常数，分别被称为平均值和标准差，π、e 分别为圆周率和自然常数，则称X服从参数为a，b的正态分布。

The property of continuous function and the formula of probability addition to the convergence in probability of continuous function sequence of random vector is used.

摘要将依概率收敛的一维随机变量序列的连续函数仍依概率收敛的结论推广到随机向量序列的情形。

The current sensitivity probability density function of energetic materials was deduced based on Frank-Kamenetskii parameter and resistance supposing as stochastic variable of normal distribution, by the application of the probability density formula of function in two random variables.

将Frank-Kamenetskii参数和电阻假设为正态分布的随机变量，应用二维随机变量函数的概率密度公式，推导出了含能材料电流点火感度的概率密度函数。

According to this joint probability density function, the probability density function of the ambiguity residual vector is obtained.

根据这个联合概率密度函数得到了模糊度残差向量的概率密度。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。