Exact distribution for the local score of independent and identically distributed random sequence

Authors
Daudin, JJ Mercier, S
Citation
Jj. Daudin et S. Mercier, Exact distribution for the local score of independent and identically distributed random sequence, CR AC S I, 329(9), 1999, pp. 815-820
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
9
Year of publication
1999
Pages
815 - 820
Database
ISI
SICI code
0764-4442(19991101)329:9<815:EDFTLS>2.0.ZU;2-Q
Abstract
Given a sequence X = X-1, ..., X-n of i.i.d. integer valued random variable s, we define the local score of the sequence as [GRAPHICS] We derive the ex-net distribution of the local score from Markov chains and random walk theory. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.