A study of the limiting behavior of delayed random sums under non-identical distributions setup
Abstract
We consider delayed sums of the type Sn+an-Sn where an is possibly a positive integer valued random variable satisfying certain conditions and Sn is the sum of independent random variables Xn with distribution functions Fn in G1, G2 . We study the limiting behavior of delayed sums and prove laws of the iterated logarithm of Chover- type. These results extend the results in Vasudeva and Divanji (1992) and Chen (2008).
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