Abstract
In this paper, we present an extension of the Borel–Cantelli lemma for double arrays of dependent events. From our main result, we obtain Theorem 2.1 of Petrov [Statistics and Probability Letters, 2002] and the Borel–Cantelli lemma for double arrays of pairwise independent events as special cases.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.