On Chung-Teicher type strong law for arrays of vector-valued random variables
نویسنده
چکیده
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 . 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.
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004