The Law of Large Numbers for Product Partial Sum Processes Indexed by Sets

J. S. Kwon

Journal of Multivariate Analysis, 1994, vol. 49, issue 1, 76-86

Abstract: Let N = {1, 2, ...} and let {Xi:i [set membership, variant] Nd1} and {Yj:j [set membership, variant] Nd2} be two families of i.i.d. integrable random variables. Let S(nA) be the sum of those XiYj's for which A [subset of] [0,1]d, d = d1 + d2 and (i/n,,j/n) [set membership, variant] A. It is proved that S(·) satisfies a strong law of large numbers that is uniform over , where is a family of subsets of [0, 1]d satisfying some conditions.

Date: 1994
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0047-259X(84)71014-1
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:jmvana:v:49:y:1994:i:1:p:76-86

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

Journal of Multivariate Analysis is currently edited by de Leeuw, J.

More articles in Journal of Multivariate Analysis from Elsevier
Bibliographic data for series maintained by Catherine Liu ().