在一阶矩有限的条件下获得了非负同分布ρ-混合随机变量序列部分和的逆矩的渐进逼近,部分推广了已有的结果,即设{Zn,n≥1}是非负同分布的ρ-混合随机变量序列,对任意n≥1,Xn=sum from( k=1 to n )Zk.如果0<EZ1<∞,则对任意a>0,...在一阶矩有限的条件下获得了非负同分布ρ-混合随机变量序列部分和的逆矩的渐进逼近,部分推广了已有的结果,即设{Zn,n≥1}是非负同分布的ρ-混合随机变量序列,对任意n≥1,Xn=sum from( k=1 to n )Zk.如果0<EZ1<∞,则对任意a>0,α>0,E(a+Xn)α～(a+EXn)-α成立.展开更多
基金supported by the National Natural Science Foundation of China(1106101270871104)the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning and the Plan of Jiangsu Specially-appointed Professors
基金the National Natural Science Foundation of China(10661006)the Support Programthe New Centuary GuangXi China Ten-hundred-thousand Talents Project(2005214)the Guangxi,China Science Foundation(0728212)
基金Supported by the National Nature Science Foundation of China(71271042,11401127)the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning((2011)47)+3 种基金the Support Program of the Guangxi China Science Foundation(2014GXNSFBA118006,2013GXNSFDA019001)the Guangxi Provincial Scientic Research Projects(201204LX157,2013YB104,YB2014150)the Construct Program of the Key Discipline in Hunan Province([2011]76)the Science Foundation of Hengyang Normal University(14B30)
基金Supported by the National Natural Science Foundation of China(71271042)the Guangxi China Science Foundation(2013GXNSFA A278003)the Research Project of Guangxi High Institution(YB2014150)
基金supported by the National Nature Science Foundation of China(71271042,11361019)the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning((2011)47)+3 种基金the Fundamental Research Funds for the Central Universities of China(ZYGX2012J119)the Guangxi Provincial Natural Science Foundation of China(2014GXNSFBA118006,2013GXNSFDA019001)the Scientific Research Fund of Guangxi Provincial Education Department(2013YB104,YB2014150)the Science Foundation of Hengyang Normal University(14B30)
基金supported by the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China(12YJCZH217)the Natural Science Foundation of Anhui Province(1308085MA03)
文摘在一阶矩有限的条件下获得了非负同分布ρ-混合随机变量序列部分和的逆矩的渐进逼近,部分推广了已有的结果,即设{Zn,n≥1}是非负同分布的ρ-混合随机变量序列,对任意n≥1,Xn=sum from( k=1 to n )Zk.如果0<EZ1<∞,则对任意a>0,α>0,E(a+Xn)α～(a+EXn)-α成立.
