The Borel–Cantelli lemma under m-dependence

Let {An}n=1∞ be an m-dependent sequence of events. In this paper, we proved the second part of the Borel–Cantelli lemma still holds under m-dependence. Furthermore, we also obtained the quantitative version of this result.

Saved in:
Bibliographic Details
Published inStatistics & probability letters Vol. 227; p. 110525
Main Authors Lu, Dawei, Shi, Yunpeng, Zhao, Junhan
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2026
Subjects
Borel–Cantelli lemma
m-dependent
Quantitative analysis
m-dependent
60F20
Borel–Cantelli lemma
60F15
Quantitative analysis
Online AccessGet full text

Cover

More Information
Summary:Let {An}n=1∞ be an m-dependent sequence of events. In this paper, we proved the second part of the Borel–Cantelli lemma still holds under m-dependence. Furthermore, we also obtained the quantitative version of this result.
ISSN:0167-7152
DOI:10.1016/j.spl.2025.110525