| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4673026 | Indagationes Mathematicae | 2012 | 9 Pages |
Abstract
In this paper we give an optimal condition for the strong law of large numbers limN→∞∑n=1Nf(n)Xn∑n=1Nf(n)=a.s.EX where X,X1,X2,…X,X1,X2,… are i.i.d. integrable random variables and ff is an additive arithmetic function. We also give sufficient criteria for multiplicative weight functions ff.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
István Berkes, Wolfgang Müller, Michel Weber,