JOURNAL ARTICLE
B-值随机变量序列叠对数律的收敛速度
Year: 1990 Journal: Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 20 (10)Pages: 1014-1022 Publisher: Science China Press
Abstract
设{X,Xn;n≥1}是在可分Banach空间(B,‖·‖)中取值的独立同分布随机变量序列,并且EX=0,Ef2(X)<+∞,f∈B*,记Sn=X1+…+Xn,n≥1.本文的目的是在适当的充要条件下研究和的收敛速度.作为本文结果的应用,分别给出了X满足有界叠对数律和紧叠对数律各一个新的充要条件;同时,本文改进了文献[3]和[4]在实空间情形所建立的一些结果.
Keywords:
Physics Crystallography Chemistry
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