摘要
The a. s. limiting behavior of increments of partial sums for a sequence of random variables has been discussed by many authors. A series of fine and elegant results have been obtained. However, up to now, the results of this kind have all required the existence of moments. In this paper we try to drop this condition. The existing results with moment conditions become special cases of our theorems.
The a. s. limiting behavior of increments of partial sums for a sequence of random variables has been discussed by many authors. A series of fine and elegant results have been obtained. However, up to now, the results of this kind have all required the existence of moments. In this paper we try to drop this condition. The existing results with moment conditions become special cases of our theorems.
基金
Project supported by the National Natural Science Foundation of China.
