On complete convergence and complete moment convergence for weighted sums of ρ∗ $\rho^{*}$-mixing random variables
Abstract Let r≥1 $r\geq1$, 1≤p<2 $1\leq p<2$, and α,β>0 $\alpha, \beta>0$ with 1/α+1/β=1/p $1/\alpha+1/\beta=1/p$. Let {ank,1≤k≤n,n≥1} $\{a_{nk}, 1\leq k\leq n,n\geq1\}$ be an array of constants satisfying supn≥1n−1∑k=1n|ank|α<∞ $\sup_{n\geq1}n^{-1}\sum^{n}_{k=1}|a_{nk}|^{\alpha}<\...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-06-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1710-2 |