Approximate word matches between two random sequences

Details Approximate word matches between two random sequences Approximate word matches between two random sequences

2008-01-21

arxiv.org/abs/0801.3145v1

Annals of Applied Probability 2008, Vol. 18, No. 1, 1-21

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AAP452 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/07-AAP452

Given two sequences over a finite alphabet $\mathcal{L}$, the $D_2$ statistic is the number of $m$-letter word matches between the two sequences. This statistic is used in bioinformatics for expressed sequence tag database searches. Here we study a generalization of the $D_2$ statistic in the context of DNA sequences, under the assumption of strand symmetric Bernoulli text. For $k

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