Binary digit representation of moments for maximum partial sums of random variables and applications  

作　　者：Chun Su Xiang Chi 

机构地区：[1]Univ Sci & Technol China, Dept Stat & Finance, Hefei 230026, Peoples R China

出　　处：《Chinese Science Bulletin》1999年第22期2037-2040,共4页

摘　　要：Binary digit representation of partial sums for random variables has been investigated, and a good upper bound of moments of maximum partial sums for random variables has been reduced by using this representation. As an applications, stability and strong law of large numbers have been discussed. Many known classical results have been refined.Binary digit representation of partial sums for random variables has been investigated, and a good upper bound of moments of maximum partial sums for random variables has been reduced by using this representation. As an applications, stability and strong law of large numbers have been discussed. Many known classical results have been refined.

关 键 词：arbitrary random variable BINARY DIGIT REPRESENTATION MAXIMUM PARTIAL sum moment inequality. 

分 类 号：O212[理学—概率论与数理统计]