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Rapidly Growing Random Walks and an Associated Stopping Time

Henry Teicher
The Annals of Probability
Vol. 7, No. 6 (Dec., 1979), pp. 1078-1081
Stable URL: http://www.jstor.org/stable/2243111
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Rapidly Growing Random Walks and an Associated Stopping Time
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Abstract

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.

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