A note on the weighted strong law of large numbers under general conditions

作者：Fazekas Istvan^*; Matula Przemyslaw; Ziemba Maciej

来源：Publicationes Mathematicae-Debrecen, 2017, 90(3-4): 373-386.

DOI：10.5486/PMD.2017.7566

• strong law of large numbers
• dependent random variables
• maximal inequality

In 2003, R. Jajte proved the almost sure convergence for a large class of weighted sums of independent random variables. In this note we show that this result remains valid for dependent random variables satisfying certain general maximal inequality.

• 出版日期2017