Abstract
It is pointed out that a general theorem presented in Yu Miao and Shoufang Xu's paper has a serious gap. In this small note, a counterexample for this theorem is provided exhibiting a triangular array of real numbers and a sequence of independent identically distributed random variables for which its conclusion fails. An reformulation of Yu Miao and Shoufang Xu's general theorem is performed making this statement true.
| Original language | English |
|---|---|
| Pages (from-to) | 503-506 |
| Number of pages | 4 |
| Journal | Miskolc Mathematical Notes |
| Volume | 16 |
| Issue number | 1 |
| Publication status | Published - 2015 |
Keywords
- Almost sure convergence
- Triangular arrays
- Weighted sums