Abstract
For weighted sums of independent and identically distributed random variables, conditions are placed under which a generalized law of the iterated logarithm cannot hold, thereby extending the usual nonweighted situation.
Open Access
On the nonexistence of a law of the iterated logarithm for weighted sums of identically distributed random variables
Received01 Jan 1989
Revised01 Dec 1989
Copyright
Copyright © 1990 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.