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Teoriya Veroyatnostei i ee Primeneniya, 1959, Volume 4, Issue 4, Pages 398–404
(Mi tvp4899)
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This article is cited in 3 scientific papers (total in 3 papers)
On the Maximum Partial Sums of Sequences of Independent Random Variables
R. P. Pakshirajan Department of Mathematics, University of Oregon
Abstract:
In the present work the results of K. L. Chung [2] concerning the maximum partial sums of sequences of independent random variables are obtained for a weaker condition. The method employed in the proof is analogous to the one used by Chung with the difference that, instead of Esseen’s approximations involving third moments, we use Berry’s approximations involving only second moments.
Received: 03.06.1959
Citation:
R. P. Pakshirajan, “On the Maximum Partial Sums of Sequences of Independent Random Variables”, Teor. Veroyatnost. i Primenen., 4:4 (1959), 398–404; Theory Probab. Appl., 4:4 (1959), 367–372
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Abstract page: | 155 | Full-text PDF : | 76 |
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