Improved bivariate Bonferroni-type inequalities

Min-Young Lee

Statistics & Probability Letters, 1997, vol. 31, issue 4, 359-364

Abstract: Let A1, A2, ..., Am and B1, B2, ..., Bn be two sequences of events on the same probability space. Let Xm and Yn, respectively, be the numbers of those Ai and Bj which occur. Improved upper bounds and lower bounds of yl,l = P(Xm(A)[greater-or-equal, slanted] 1, Yn(B) [greater-or-equal, slanted] 1) in terms of the bivariate binomial moments Si,j are obtained, using the method of indicators. We also obtained lower bounds on yi,j = P(Xm(A)[greater-or-equal, slanted]i, Yn(B)[greater-or-equal, slanted]j).

Keywords: Bivariate; binomial; moments; Bonferroni-type; inequality; The; method; of; indicators (search for similar items in EconPapers)
Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(96)00050-8
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:31:y:1997:i:4:p:359-364

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 ().