On Chung-Teicher type strong law for arrays of vector-valued random variables

Anna Kuczmaszewska

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-16

Abstract:

We study the equivalence between the weak and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach space ℬ . The conditions under which this equivalence holds are of the Chung or Chung-Teicher types. These conditions are expressed in terms of convergence of specific series and o ( 1 ) requirements on specific weighted row-wise sums. Moreover, there are not any conditions assumed on the geometry of the underlying Banach space.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:432549

DOI: 10.1155/S0161171204301031

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