在通常矩条件下B-值随机元配重迭对数律不成立的一个反例  

An Example of the Weighted Sum of Independent B-Valued Random Elements no Satisfying the LIL

作　　者：关庆扬[1] 杨小云[2] 

机构地区：[1]吉林大学数学研究所,长春130012 [2]吉林大学数学系,长春130012

出　　处：《应用概率统计》2001年第1期73-80,共8页Chinese Journal of Applied Probability and Statistics

摘　　要：本文讨论Ｂ－值随机元配重迭对数律，给出了在通常矩条件下Ｂ－值随机元配重迭对数律不成立的一个反例．文中还指出，当随机元范数矩的条件弱于二阶矩时，配重迭对数律不成立．In this paper, we give am example which show the law of iterated logarithm for the weighted sum of independent B-valued random elements is not true in general moment condition. Further, we prove that the law of iterated logarithm for the weighted sum of independent B-valued random elements is not true when order of norm moment for random element is less than 2.

关 键 词：B-值随机元 配重迭对数律 随机元范数矩 范数矩 

分 类 号：O211.4[理学—概率论与数理统计]