Strong Laws of Large Numbers by Elementary Tauberian Arguments |
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Authors: | Harro Walk |
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Affiliation: | (1) Universität Stuttgart, Germany |
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Abstract: | For Kolmogorovs strong law of large numbers an alternative short proof is given which weakens Etemadis condition of pairwise independence. The argument uses the known – and elementary – equivalence of (Cesàro) C1- and C2-summability for one-sided bounded sequences. Also other strong laws of large numbers are established, in part via Borel summability. |
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Keywords: | 2000 Mathematics Subject Classifications: 60F15 |
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