A note on the rates of convergence for weighted sums of rho (*) -mixing random variables

作者：Wu Yongfeng^*; Sung Soo Hak; Volodin Andrei

来源：Lithuanian Mathematical Journal, 2014, 54(2): 220-228.

DOI：10.1007/s10986-014-9239-7

• complete convergence
• weighted sums
• rho*-mixing random variables

We discuss the rates of convergence for weighted sums of rho (au) -mixing random variables. We solve an open problem posed by Sung [S.H. Sung, On the strong convergence for weighted sums of rho (au) -mixing random variables, Stat. Pap., 54:773-781, 2013]. In addition, the two obtained lemmas in this paper improve the corresponding ones of Sung in the above-mentioned paper and [S.H. Sung, On the strong convergence for weighted sums of random variables, Stat. Pap., 52:447-454, 2011].

• 出版日期2014-4
• 单位铜陵学院