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

作者:Hu, Tien-Chung; Chen, Ping Yan; Weber, N. C.*
来源:Bulletin of the Australian Mathematical Society, 2010, 82(1): 31-43.
DOI:10.1017/S0004972710000158

摘要

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.