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Summability methods and negatively associated random variables

Part of: Limit theorems

Published online by Cambridge University Press:  14 July 2016

N. H. Bingham  and
H. R. Nili Sani
N. H. Bingham
Affiliation:
Department of Probability and Statistics, University of Sheffield, Sheffield S3 7RH, UK. Email address: nick.bingham@sheffield.ac.uk
H. R. Nili Sani
Affiliation:
Department of Mathematics, Birjand University, Birjand, Iran. Email address: nili@math.um.ac.ir
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Abstract

The paper studies convergence of sequences of negatively associated random variables under various summability methods. The results extend previously known results for independence and complement known results for ϕ-mixing.

Keywords

Negatively dependent random variablenegatively associated random variablesummability methods

MSC classification

Primary: 60F15: Strong theorems
Type
Part 5. Properties of random variables
Information
Journal of Applied Probability , Volume 41 , Issue A: Stochastic Methods and their Applications , 2004 , pp. 231 - 238
Copyright
Copyright © Applied Probability Trust 2004 

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