A NOTE OF CONVERGENCE RATES FOR SUMS OF ρ-MIXING SEQUENCES  

A NOTE OF CONVERGENCE RATES FOR SUMS OF ρ-MIXING SEQUENCES

作  者:梁汉营 杨长森 

出  处:《Acta Mathematicae Applicatae Sinica》1999年第2期172-177,共6页应用数学学报(英文版)

摘  要:Let {Xn,n 1) be a sequence of mixing random variables, S(n)S, >0, d=1 or-1.This note investigates that where is an arbitrary but fixed positive number. As application we give some results on the convergence rates for randomly indexed partial sums. Some known results are extended and generalized.Let {Xn,n 1) be a sequence of mixing random variables, S(n)S, >0, d=1 or-1.This note investigates that where is an arbitrary but fixed positive number. As application we give some results on the convergence rates for randomly indexed partial sums. Some known results are extended and generalized.

关 键 词:mixing sequence partial sum convergence rate 

分 类 号:O173[理学—数学]

 

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