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A Darling-Erdos-Type Theorem for Standardized Random Walk Summation |
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| Authors: | Horvath, Lajos Shao, Qi-Man |
| Affiliation: | Department of Mathematics Uiversity of Utah Salt Lake City, UT 84112 USA Department of Mathematics National Uiversity of Singapore Singapore 0511 Republic of Singapore |
| Abstract: | In this paper we consider the random walk summation method whichincludes, for example, the Borel, Euler, Meyer-König andValiron methods, and obtain a Darling-Erd  s-type limit theoremfor the maximum of normalized sums defined by random walk summation. |
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