Articles written in Proceedings – Mathematical Sciences
Volume 131 All articles Published: 4 March 2021 Article ID 0010 Article
In this paper, we establish a non-asymptotic lower bound for the running maximum of an asymptotically almost negatively associated (AANA) family of random variables. The obtained result is applied to characterize the Kolmogorov–Feller weak law of large numbers for these sequences. We also provide a simplified proof of the necessity part in the Baum–Katz law of large numbers in the AANA setting.
Volume 131, 2021
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