大数定律的几个应用

Some Applications of the Law of Large Numbers

首先采用划分的手法,证明了一个矩不等式.然后利用所得的矩不等式与Kolmogorov强大数定律,采用划分的手法,研究了由n重积分所构成的序列的收敛性问题,给出了这种收敛性问题的几个结果及其证明.

First,a moment inequality is proved by using the skill of dividing.Then,the convergence questions of the sequence composed of n-tuple integration are studied by using the obtained moment inequality and the Kolmogorov＇s strong law of large numbers and the skill of dividing.Some results of the convergence questions and their proofs are given.