Title
An analytic approach to the asymptotic variance of trie statistics and related structures
Abstract
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
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 Fuchs1528.98
Hsien-Kuei Hwang236538.02
Vytas Zacharovas3212.42