Convergence of weighted sums of random sets

Convergence of weighted sums of random sets
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DOI:
10.1080/07362998508809069
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发表时间:
1985
影响因子:
1.3
通讯作者:
R. L. Taylor;H. Inoue
R. L. Taylor;H. Inoue
中科院分区:
数学4区
文献类型:
--
作者:
R. L. Taylor;H. Inoue

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Stochastic convergence of weighted sums of the form is obtained for random sets {Xk} whose values are compact subsets of a Banach space and where {ank} is a Toeplitz sequence of real numbers. In particular , conditions imposed by some previous authors in comparable strong laws of large numbers that the compact subsets also be convex or that the random sets be identically distributed are removed