On the weak laws of large numbers for sums of negatively associated random vectors in Hilbert spaces

This note establishes the weak law of large numbers for sums of negatively associated random vectors in Hilbert spaces. Illustrative examples are provided, one of which shows that the conditions for the weak law of large numbers cannot be dispensed with.

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Bibliographic Details
Published inStatistics & probability letters Vol. 107; pp. 236 - 245
Main Authors Hien, N.T.T., Thanh, L.V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2015
Subjects
Hilbert space
Negatively associated random vectors
Random sum
Weak law of large numbers
Random sum
Hilbert space
Negatively associated random vectors
Weak law of large numbers
60F05
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Summary:This note establishes the weak law of large numbers for sums of negatively associated random vectors in Hilbert spaces. Illustrative examples are provided, one of which shows that the conditions for the weak law of large numbers cannot be dispensed with.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2015.08.030