Positions of the ranks of factors in certain finite long length words

Elahe Zohoorian Azad

Statistics & Probability Letters, 2013, vol. 83, issue 3, 836-840

Abstract: We consider the set of finite random words A⋆, with independent letters drawn from a finite or infinite totally ordered alphabet according to a general probability distribution. On a specific subset of A⋆, we consider certain factorization of the words. The factors of a word are labelled with ranks, based on the lexicographical order. In this paper we prove that the normalized position of the ranks is uniform, when the length of the word goes to infinity.

Keywords: Random word; Factorized word; Rank; Permutation; Uniform distribution (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167715212004543
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:83:y:2013:i:3:p:836-840

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spl.2012.12.005

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().