概率公理

简单性问题就是对简单性原则的质疑，表现在简单性假设与概率公理之间的不一致上。

The difficulty of simplicity is questioning the principle of simplicity , representing in the inconsistency of simplicity postulate and probability axioms .

建立《概率论自然公理系统》中的第组和第组公理。

Two groups of axioms in the natural axiom system of probability theory are set up .

赖欣巴哈的概率演算的公理系统，包括：赖欣巴哈为构造概率演算的公理系统所做的准备工作；

Reichenbach 's axiomatics of probability calculus includes : the preparation for construction of axiomatics of probability calculus ;

它是一种不确定性推理方法，一种决策理论，与概率决策理论相比，不但能处理由于知识不准确所引起的不确定性，而且能满足比概率更弱的公理系统。

Compared to the Probability Decision Theory , the D-S Theory of Evidence can not only deal with the uncertainty caused by inaccurate knowledge , but is also applicable to axiomatic systems that even weaker than probability .

在其概率思想指导下，彼得堡数学学派严格论证了大数定理理论、完善了古典中心极限定理的理论体系、创立了马尔可夫链模型、发展了数理统计理论、首次提出概率论的公理化体系等。

The theorem of large and the related theory were strictly proved by PMS , the theory system of the classical central limit theorem was consummated , the model and the theory of Markov chain were established , and the axioms of probability theory was proposed for the first time .