【摘要】 研究H-空间(Hilbert空间)上相互独立同分布随机变量序列的按模收敛性。在H-空间上定义向量的内积,定义向量的度量性质,定义向量的按模收敛,讨论独立同分布随机变量序列部分和的按模收敛及条件,给出相互独立同分布随机变量序列的按模收敛的条件。指出相互独立同分布随机变量序列和的标准化按模收敛于N(0,1)分布。更多还原

【Abstract】 The paper studies convergence in modal for i.i.d sequence in Hilbert space.It defines inner product and measure property of vector,convergence in modal.Convergence in modal and conditions for i.i.d sequence is discussed.Conditions of convergence in modal for i.i.d sequence and standardization of sum for i.i.d sequence are given to get convergence in modal to the distribution of N(0,1).更多还原