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A REMARK ON THE STRONG LAW FOR B-VALUED ARRAYS OF RANDOM ELEMENTS

Published online by Cambridge University Press:  02 June 2010

TIEN-CHUNG HU
Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan (email: [email protected])
PING YAN CHEN
Affiliation:
Department of Mathematics, Jinan University, Guangzhou, 510630, PR China (email: [email protected])
N. C. WEBER*
Affiliation:
School of Mathematics and Statistics, University of Sydney, Australia (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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The conditions in the strong law of large numbers given by Li et al. [‘A strong law for B-valued arrays’, Proc. Amer. Math. Soc.123 (1995), 3205–3212] for B-valued arrays are relaxed. Further, the compact logarithm rate law and the bounded logarithm rate law are discussed for the moving average process based on an array of random elements.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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