概率空间

Fuzzy概率空间和扩张定理

Fuzzy probability space and extension theorems

均定义于同一概率空间（Ω，F，P）。

Is defined on the same probability space (Ω, F , P ) if without special explanation .

本文研究了Fuzzy概率空间中Fuzzy事件及概率的代数性质。

In this paper , we make researches on algebraic properties of the fuzzy events and the probability of fuzzy probability spaces .

一种非均匀概率空间下逻辑系统G3中命题的真度理论

Truth degree theory of propositions in Godel 3-valued logic system in the space of unevenly distributed probability

局部映射和W～-概率空间

Local Maps and W ~ - Probability Spaces

基于移动阅读器的RFID概率空间范围查询技术的研究

Study on Processing Probabilistic RFID Spatial Range Query Based on Mobile Readers

2）把概率空间（B，F~，P~）中的P~定义为条件概率的疏忽之处。

Some neglected points when P ~ in probability Space ( B , F ~ , P ~ ) is defined as Conditional Probability .

广义不定度规空间动态模糊（DF）数的概率空间初探

Generalized Indefinite Metric Space Probability Metric Space of Dynamic Fuzzy Number

动态模糊（DF）数的概率空间初探

Probability Metric Space of Dynamic Fuzzy Number

在古典概型和概率空间（Ω，F，P）[1]上，讨论随机事件相互独立的充要条件。

On the basis of classic probability model and probability space (Ω, F , P ), this thesis discusses the sufficient and necessary condition of independence about random events .

本文推广了文献[1]中的结果，在乘积概率空间中证明了相应于Hausdorff测度与Packing测度的密度定理。

In this paper , the density theorems in product probability spaces are studied , and the density theorems about Hausdorff measures and Packing measures are obtained , respectively .

本文讨论了完备概率空间（Ω，ξ，P）上完备子σ-域之间条件独立性的关系，指出其若干重要性质，并叙述了这些性质在多指标随机过程理论中的应用。

In this paper we discussed the conditional independence of the complete sub - σ - fields in the complete probability space (Ω,??, P ) . We pointed out its several important properties and some results applying to the theory of stochastic processes with a multidimensional parameter .

本文在一般满足通常性条件的概率空间中，利用单调迭代方法讨论了由Poisson点过程驱动的两指标随机微分方程的上下解。

In this paper , we discuss the minimal and maximal solutions of two parameter Poisson type stochastic differential equations by the method of monotone iterative techology in the probability space satisfied with usual conditions .

继续研究了概率空间上模糊值函数的勒维（Levi）与法都（Fatou）积分极限定理

The Levi and Fatou theorems of integral for fuzzy random functions are given on the basis of fuzzy functions and fuzzy integral

利用刘文教授提出的分析方法在Wiener概率空间中研究m值可列非齐次二重马氏链的一些极限定理。

The purpose of this paper is to study some limit theorems for m-valued countable nonhomogeneous two-order Markov Chains in Wiener probability space by using an analytic method , which was invented by Professor Liu Wen .

基于均匀概率空间的无穷乘积，在n值Lukasiewicz逻辑系统中引入命题的α-真度理论，给出了一般真度推理规则；

By means of the infinite product of evenly distributed probability spaces , this paper introduces the theory of α - truth degrees in n-valued Lukasiewicz logical system , also , general reference rules endowed with - truth degrees are obtained .

本文通过可列非齐次马氏链在Wiener概率空间中的一种实现，给出了关于状态三元序组出现频率的一类强大数定律。

In this paper , by use of a realization of the countable non-homogeneous Markov chains in the Wiener probability space , a class of strong laws of large numbers on the frequency of occurrence of the ordered triple of states are obtained .

在一个给定的概率空间（Ω，F，P）中，通过建立一个古典概率模型，给出了图论中关于完全图Kn的生成树的数目公式，即Cayley定理及Clarke定理。

In this article , we create an ancient probability model ata special probability space (Ω, F , P ) . At the space , we can use the probability method to get two theorems about the spanning tree of complete graphs : Cayley theorem and Clarke theorem .

概率空间上有限测度的维数及其分布

The dimension and dimension distribution of finite measure on probability space

进而完成了本文研究目的&模糊概率空间的建立。

Finally , a fuzzy probability space has been established .

非交换概率空间上的切比雪夫不等式与大数定理

Tchebycheff 's Inequality and Law of Large Numbers over Noncommutative Probability Spaces

模糊正规命题概率空间及其应用

Fuzzy Normal Proposition Probability Space and It 's application

灰元、灰代数及广义概率空间

Grey Element , Grey Algebra and Generalized Probability Space

最优古典概率空间及其应用

The Most Splendid Classical Probability Room and the Application

在概率空间上统计学习理论是机器学习的重要组成部分。

Statistical learning theory on probability spaces is an important part of Machine Learning .

在这种情况下，概率空间的概念必须扩展。

In this case , the concept of the probability space has to be extended .

我们分别在向量空间和概率空间下对参考文档模型的性能进行了实验。

We respectively examine the performance of the RDM in the vector space and probabilistic space .

乘积概率空间中的密度定理

Density Theorems in Product Probability Spaces

在概率空间上研究并初步揭示了焊趾疲劳裂纹扩展过程的统计规律。

The statistical natures of FCP at the weld toes were investigated on the probability space .

概率空间中的一个不等式

The inequality in probability space