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On the extension of quadrant dependence
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Resumo(s)
In this short note, it is propounded an extension for quadrant dependence, and shown that some of the original proprieties of this popular concept remain valid, while others are necessarily generalized. A second Borel–Cantelli lemma due to Petrov (Statist. Probab. Lett. 58: 283–286, 2002) is revisited for events enjoying this new dependence notion and demonstrated by means of simpler arguments.
Descrição
Funding Information: This work is funded by national funds through the FCT \u2013 Fundação para a Ciência e a Tecnologia, Portugal , I.P., under the scope of project UIDB/04035/2020 (GeoBioTec). Publisher Copyright: © 2024 The Author(s)
Palavras-chave
Dependent random variables Quadrant dependence Applied Mathematics Mathematics (miscellaneous) Computational Mathematics