可列无限等可能概型概率场的讨论

假设有某试验,对每次试验而言有可列无限个试验结果,由于某种对称性,每个结果的出现又有一定的均匀性.对这种概型本文称之谓可列无限等可能慨型,这种概型的问题其概率场是什么?这是个颇有趣的问题,本文将针对这一问题进行一定的探讨.本文将针对从全体正整数中随机取数的问题的一种特殊的子集类构成事件域,并在其上合理地定义概率,从而建立概率场.

On the Probability Field of the Denumerable Equiprobable Scheme

Consider an experiment in which the posible outcomes for each trial are denumerable, and being some kind of symmetry there is somewhat degree of homogeneity for the aooear-ance of each outcomes.Such a scheme is called as denumerable equiprobable scheme? It is quite an interesting problem which is disscused to a certain depth here. In this paper, an event field, the class of a kind of a special subsets from the set of positive integers is taken, and the probability on the event firld is defined rationally. Then a probability field of such scheme is constructed.