A bilateral inequality on the Borel-Cantelli Lemma
Yuquan Xie
Statistics & Probability Letters, 2008, vol. 78, issue 14, 2052-2057
Abstract:
Let A1,A2,... be a sequence of events satisfying the condition , IAi be the indicator function for the event Ai, , Tn=SnI(Sn>0)/ESn; we have an important bilateral inequality as follows: and several of the well-known results on the generalizations of the Borel-Cantelli Lemma are special cases of this result.
Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(08)00077-1
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:78:y:2008:i:14:p:2052-2057
Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01
Access Statistics for this article
Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul
More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().