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Mathematics > Probability

arXiv:1803.04052 (math)
[Submitted on 11 Mar 2018 (v1), last revised 9 Jul 2020 (this version, v4)]

Title:On an alternative sequence comparison statistic of Steele

Authors:Ümit Işlak, Alperen Y. Özdemir
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Abstract:The purpose of this paper is to study a statistic that is used to compare the similarity between two strings, which is first introduced by Michael Steele in 1982. It was proposed as an alternative to the length of the longest common subsequences, for which the variance problem is still open. Our results include moment asymptotics and distributional asymptotics for Steele's statistic and a variation of it in random words and random permutations.
Comments: 17 pages
Subjects: Probability (math.PR)
MSC classes: 05A05, 60C05
Cite as: arXiv:1803.04052 [math.PR]
  (or arXiv:1803.04052v4 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.1803.04052
Journal reference: Discrete Mathematics & Theoretical Computer Science, vol. 22 no. 1, Combinatorics (July 10, 2020) dmtcs:5745
Related DOI: https://doi.org/10.23638/DMTCS-22-1-18

Submission history

From: Alperen Özdemir [view email]
[v1] Sun, 11 Mar 2018 22:01:30 UTC (12 KB)
[v2] Fri, 30 Aug 2019 23:25:02 UTC (13 KB)
[v3] Mon, 20 Apr 2020 11:34:36 UTC (13 KB)
[v4] Thu, 9 Jul 2020 09:17:59 UTC (19 KB)
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