Building mixture trees from binary sequence data

Authors: Chen, Shu-Chuan; Lindsay, Bruce G.

Source: Biometrika, Volume 93, Number 4, December 2006 , pp. 843-860(18)

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Abstract:

We develop a new method for building a hierarchical tree from binary sequence data. It is based on an ancestral mixture model. The sieve parameter in the model plays the role of time in the evolutionary tree of the sequences. By varying the sieve parameter, one can create a hierarchical tree that estimates the population structure at each fixed backward point in time. Application to the clustering of the mitochondrial DNA sequences of Griffiths & Tavaré (1994) shows that the approach performs well. Theoretical and computational properties of the ancestral mixture model are further developed.

Keywords: Ancestral mixture model; Evolutionary tree; Hierarchical tree; Sieve parameter

Document Type: Research article

DOI: 10.1093/biomet/93.4.843