Title | ||
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An analytic approach to the asymptotic variance of trie statistics and related structures |
Abstract | ||
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We develop analytic tools for the asymptotics of general trie statistics, which are particularly advantageous for clarifying the asymptotic variance. Many concrete examples are discussed for which new Fourier expansions are given. The tools are also useful for other splitting processes with an underlying binomial distribution. We specially highlight Philippe Flajolet's contribution in the analysis of these random structures. |
Year | DOI | Venue |
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2014 | 10.1016/j.tcs.2014.01.024 | Theoretical Computer Science |
Keywords | DocType | Volume |
asymptotic variance,underlying binomial distribution,analytic approach,splitting process,new Fourier expansion,general trie statistic,concrete example,analytic tool,related structure,random structure,Philippe Flajolet | Journal | 527, |
ISSN | Citations | PageRank |
0304-3975 | 9 | 0.70 |
References | Authors | |
41 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Michael Fuchs | 1 | 52 | 8.98 |
Hsien-Kuei Hwang | 2 | 365 | 38.02 |
Vytas Zacharovas | 3 | 21 | 2.42 |