Local alignment of Markov chains

dc.creatorHansen, Niels Richard
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:28:45Z
dc.date.available2026-07-07T07:28:45Z
dc.descriptionWe consider local alignments without gaps of two independent Markov chains from a finite alphabet, and we derive sufficient conditions for the number of essentially different local alignments with a score exceeding a high threshold to be asymptotically Poisson distributed. From the Poisson approximation a Gumbel approximation of the maximal local alignment score is obtained. The results extend those obtained by Dembo, Karlin and Zeitouni [Ann. Probab. 22 (1994) 2022--2039] for independent sequences of i.i.d. variables.
dc.descriptionPublished at http://dx.doi.org/10.1214/105051606000000321 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0610187
dc.identifierhttp://arxiv.org/abs/math/0610187
dc.identifierAnnals of Applied Probability 2006, Vol. 16, No. 3, 1262-1296
dc.identifierdoi:10.1214/105051606000000321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117848
dc.subjectProbability
dc.subject60G70 (Primary) 60F10 (Secondary)
dc.titleLocal alignment of Markov chains
dc.typetext

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