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arXiv · 1011.2688

The rate of the convergence of the mean score in random sequence comparison

Juri Lember·Heinrich Matzinger·Felipe Torres
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Abstract

We consider a general class of super-additive scores measuring the similarity of two independent sequences of $n$ i.i.d. letters from a finite alphabet. Our object of interest is the mean score by letter $l_n$. By the subadditivity $l_n$ is nondecreasing and converges to a limit $l$. We give a simple method of bounding the difference $l-l_n$ and obtaining the rate of convergence. Our result generalizes a previous result of Alexander, where only the special case of the longest common subsequence is considered.

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Juri Lember, Heinrich Matzinger, Felipe Torres. 2010-11-11. The rate of the convergence of the mean score in random sequence comparison. https://arxiv.org/abs/1011.2688

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