an:07183638
Zbl 1434.60099
Boukhari, Fakhreddine
The Marcinkiewics-Zygmund strong law of large numbers for dependent random variables
EN
Stat. Probab. Lett. 161, Article ID 108727, 8 p. (2020).
00448174
2020
j
60F15 60F20
limit theorems; Borel-Cantelli lemma; AANA sequences; NSD random variables; zero-one law
Summary: In this paper, we provide a necessary and sufficient condition for the Marcinkiewics-Zygmund strong law of large numbers to hold, for an \textit{AANA} sequence of non-identically distributed random variables. Our results complete and strengthen a similar result due to \textit{T. K. Chandra} and \textit{S. Ghosal} [Acta Math. Hung. 71, No. 4, 327--336 (1996; Zbl 0853.60032)]. We also show that the obtained method applies in the \textit{NSD} setting.
Zbl 0853.60032