摘要
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.
Under the finite first moments condition, the asymptotic approximation of inverse moments of the partial sums of nonnegative identically distributed ρ- mixing random variables is obtained. The main result extends the well - known results partly. Suppose that {Zn,n≥1} is a series of nonnegative identically distributed ρ- mixing random variables, and define Xn=∑k=1^nZk,for and 0〈EZ1〈∞,is satisfied for and E(a+Xn)α-(a+EXn^-αa〉0,α〉0,
出处
《暨南大学学报(自然科学与医学版)》
CAS
CSCD
北大核心
2011年第5期459-461,共3页
Journal of Jinan University(Natural Science & Medicine Edition)
基金
国家自然科学青年基金项目(61003258)