主要研究相互粒子系统中概率测度的负相关。
We mainly study negative correlations in interacting particle systems.
传统上，可能性测度被认为是与概率测度平行的概念。
Traditionally, possibility measure is considered as the parallel concept of probability measure.
运用概率测度弱收敛理论研究了服务中断的PRE优先排队系统模型。
In this paper, we consider the queuing system for PRE priority discipline with service interruption by using the weak convergence theory of probability measure.
运用模糊事件及概率测度的基本性质，给出了模糊熵的一些基本定理。
Based on the fundamental quality of fuzzy events, the basic theorem of fuzzy entropy is obtained.
并从微观分析到宏观现象，由模糊概率测度思想提出了岩石损伤累积方程。
Then a rock damage evolutional equation was proposed by the authors based on theory of fuzzy probability measurement, and on micro-analysis and macro-observations.
然而，事实并非如此，在模糊集合论中正是可信性测度才扮演了概率测度的角色。
However, it is the credibility measure which plays the role of probability measure in fuzzy set theory actually.
文中研究定义在紧有限交换半群上的概率测度，同时研究它们的合成收敛序列的性质。
In this paper, the probability measure defined on the compact finite commutative semigroup and us composition convergence is discussed.
该方法用模糊概念描述异常，用数值运算代替模式匹配，并利用概率测度有效表示各因素间关系的不确定性。
It described anomaly as fuzzy conception, executed numerical operations instead of pattern matching, and expresses the uncertainty of relations of the factors by applying probability measure.
本文将模糊数学中的模糊概率测度理论用于研究地下开挖尤其是地下金属矿开采而导致的岩体移动和变形问题。
A mathematical theory of fuzzy probability measure has been used for solving the problems of rock mass displacements and deformations due to excavation, especially in the. mining of metallic ore.
本文研究图g的子图空间g上的三类概率测度，它们分别刻画图的随机扩张树，随机扩张森林和随机连通子图。
We consider three types of probability measures on Q, the set of subgraphs of g, which govern a random spanning tree, a random spanning forest, and a random connected subgraph respectively.
讨论一类可数离散半群上概率测度卷积幂的弱收敛性，主要结果是利用局部群化的观点给出了概率测度卷积幂弱收敛的一个充分条件。
The main result is that we get a sufficient condition for the weak convergence of convolution powers of probability measures, by using the method of local grouplization.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
讨论了利用模糊集的下近似和上近似定义的模糊测度和概率模糊测度的关系。
We discuss the relation between fuzzy measure defined by lower approximation and upper approximation of fuzzy set and probability fuzzy measures.
聚点团生存性测度考虑了节点的运行概率和链路的迂回特性，同时考虑了多跳的情况。
The survivability index of accumulation points considers the node's running probability, the characteristic of link bypass, and the case of multi-hop.
利用经典大偏差的方法，在一定的条件下，得到了相应概率的对数渐近式及测度族的大偏差原理。
By traditional method of large deviations, we obtain the logarithmic asymptotic for the probabilities and large deviation principle for the corresponding measures.
经典测度的弱收敛在经典概率论等随机数学理论中有着很重要的作用。
The weak convergences of classical measure play an important role in random mathematics theory such as the classical probability theory.
给出了未确知测度、置信度的概念，建立了基于未确知测度的工程建设投标风险，报价成本比，中标概率确定模型。
The certainty model of the risk of tender for engineering construction, bid cost comparison and tender probability on uncertainty measure is established.
讨论随机模糊下近似、上近似集的模糊概率与模糊信任测度、模糊似然测度之间的关系。
The relationship between fuzzy probability defined by lower approximation and upper approximation of random fuzzy sets and fuzzy belief measures, fuzzy plausibility measures is discussed.
主题包括测度论，极限定理，包围概率和期望，耦合和斯坦的方法，鞅，马尔可夫链，更新理论，和布朗运动。
Topics include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion.
本书特点是把测度论的基本内容与概率论的基本内容结合在一起讲述，论述严谨，条理清…
While revised so radically and incorporating so much new material as to amount to a new text, it p…
本书特点是把测度论的基本内容与概率论的基本内容结合在一起讲述，论述严谨，条理清…
While revised so radically and incorporating so much new material as to amount to a new text, it p…
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