Approximate word matches between two random sequences

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Approximate Word Matches between Two Random Sequences

Given two sequences over a finite alphabet L, the D2 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 D2 statistic in the context of DNA sequences, under the assumption of strand symmetric Bernoulli text. For k <m, we look at the count of m-lett...

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APPROXIMATE WORD MATCHES BETWEEN TWO RANDOM SEQUENCES By Conrad

Given two sequences over a finite alphabet L, the D2 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 D2 statistic in the context of DNA sequences, under the assumption of strand symmetric Bernoulli text. For k <m, we look at the count of m-lett...

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When comparing two sequences, a natural approach is to count the number of k-letter words the two sequences have in common. No positional information is used in the count, but it has the virtue that the comparison time is linear with sequence length. For this reason this statistic D(2) and certain transformations of D(2) are used for EST sequence database searches. In this paper we begin the ri...

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Characterizing the D2 statistic: word matches in biological sequences.

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ژورنال

عنوان ژورنال: The Annals of Applied Probability

سال: 2008

ISSN: 1050-5164

DOI: 10.1214/07-aap452