On the Variance of the Optimal Alignment Score for an Asymmetric Scoring Function

نویسندگان

  • Christian Houdré
  • Heinrich Matzinger
چکیده

We investigate the variance of the optimal alignment score of two independent iid binary, with parameter 1/2, sequences of length n. The scoring function is such that one letter has a somewhat larger score than the other letter. In this setting, we prove that the variance is of order n, and this confirms Waterman’s conjecture in this case.

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تاریخ انتشار 2007