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Dissociated random variables

Published online by Cambridge University Press:  24 October 2008

W. G. MoGinley  and
R. Sibson
W. G. MoGinley
Affiliation:
University of Cambridge
R. Sibson
Affiliation:
University of Cambridge
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Extract

We introduce the idea of dissociatedness for multiply-subscripted random variables: this is a weaker property than independence in general, coinciding with it in the singly-subscripted case; but it is still strong enough to allow a suitable version of the Strong Law of Large Numbers to hold. This result can be applied to prove a weak convergence result of interest in data analysis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 1 , January 1975 , pp. 185 - 188
Copyright
Copyright © Cambridge Philosophical Society 1975

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