由对称分布导出的GN空间

GN SPACE INDUCED BY SYMMETRICAL DISTRIBUTION

本文讨论了概率理论中常见的对称分布等价类所导出的ＧＮ空间及拓扑性质，证明了依拓扑收敛等价于依概率收敛这一重要结论。

n this paper the concept of generalized probabilistic normed spaee which ismade of nall equlvalent classes of vandom variables with symmetri distribution inprobabilistic theory is introduced,and the topological properties of this space arediscussed,the convergence in topology equivalent to the conver-gence in probabil-ity is proved.