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A mixed Poisson approximation and a Poisson approximation for the length of the longest exact match of a random sequence across another sequence are provided, where the match is required to start at position 1 in the first sequence. This problem arises when looking for suitable anchors in whole genome alignments.
Poisson approximation, mixed Poisson approximation, length of longest match, Chen-Stein method.
Michael S. Waterman, Gesine Reinert, "On the Length of the Longest Exact Position Match in a Random Sequence", IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 4, no. , pp. 153-156, January-March 2007, doi:10.1109/TCBB.2007.1023
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