Efficient estimation of the accuracy of the maximum likelihood method for ancestral state reconstruction

Bin Ma and Louxin Zhang ()
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Bin Ma: University of Waterloo
Louxin Zhang: National University of Singapore

Journal of Combinatorial Optimization, 2011, vol. 21, issue 4, No 2, 409-422

Abstract: Abstract The marginal maximum likelihood method is a widely-used method for ancestral state reconstruction. Given an evolution model (a phylogeny tree and the edge mutation rates) and the extant states (states on leaves), the method computes efficiently the most likely ancestral state on the root. However, when the extant states are randomly generated by using the evolutionary model, it is unknown how to efficiently calculate the expected reconstruction accuracy of the marginal maximum likelihood method. In this paper, a fully polynomial time approximation scheme (FPTAS) is presented for the calculation.

Keywords: Ancestral state reconstruction; Reconstruction accuracy; Maximum likelihood method; Polynomial time approximation (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10878-009-9261-6

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