On the order of growth of convergent series of independent random variables

Eunwoo Nam

International Journal of Stochastic Analysis, 2004, vol. 2004, 1-10

Abstract:

For independent random variables, the order of growth of the convergent series S n is studied in this paper. More specifically, if the series S n converges almost surely to a random variable, the tail series is a well-defined sequence of random variables and converges to 0 almost surely. For the almost surely convergent series S n , a tail series strong law of large numbers (SLLN) is constructed by investigating the duality between the limiting behavior of partial sums and that of tail series.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:423865

DOI: 10.1155/S1048953304305022

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