The Marcinkiewics–Zygmund strong law of large numbers for dependent random variables
Fakhreddine Boukhari
Statistics & Probability Letters, 2020, vol. 161, issue C
Abstract:
In this paper, we provide a necessary and sufficient condition for the Marcinkiewics–Zygmund strong law of large numbers to hold, for an AANA sequence of non-identically distributed random variables. Our results complete and strengthen a similar result due to Chandra and Ghosal. We also show that the obtained method applies in the NSD setting.
Keywords: Limit theorems; Borel–Cantelli lemma; AANA sequences; NSD random variables; Zero–one law (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:161:y:2020:i:c:s0167715220300304
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DOI: 10.1016/j.spl.2020.108727
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