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.
|Number of pages||4|
|Journal||Miskolc Mathematical Notes|
|Publication status||Published - 2015|
- Almost sure convergence
- Triangular arrays
- Weighted sums