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Rapidly Growing Random Walks and an Associated Stopping Time
The Annals of Probability
Vol. 7, No. 6 (Dec., 1979), pp. 1078-1081
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2243111
Page Count: 4
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An exponential limit distribution is obtained for stopping times associated with partial sums of independent, identically distributed random variables whose distribution function is slowly varying at infinity. It is also demonstrated that a generalized law of the iterated logarithm cannot obtain in such a case.
The Annals of Probability © 1979 Institute of Mathematical Statistics