Strong Laws of Large Numbers by Elementary Tauberian Arguments

• Autores: Harro Walk
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 144, Nº 4, 2005, págs. 329-346
• Idioma: inglés
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• Resumen

  • 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.