Lita da Silva, João2024-09-202024-09-202024-062666-657XPURE: 99836248PURE UUID: c42f823f-3bf1-41a2-aa62-db82714e43edScopus: 85194850391WOS: 001301467100001http://hdl.handle.net/10362/172168Funding 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)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.9664841engDependent random variablesQuadrant dependenceApplied MathematicsMathematics (miscellaneous)Computational Mathematicsjournal article10.1016/j.exco.2024.100146https://www.scopus.com/pages/publications/85194850391