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    Recovering a tree from the leaf colourations it generates under a Markov model

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    steel_report_no103_1993.pdf (269.8Kb)
    Author
    Steel, M.A.
    Date
    1993
    Permanent Link
    http://hdl.handle.net/10092/11108
    Degree Grantor
    University of Canterbury
    Degree Name
    Research report

    We describe a simple transformation that allows for the fast recovery of a tree from the probabilities such a tree induces on the colourations of its leaves under a simple Markov process (with unknown parameters). This generalizes earlier results by not requiring the transition matrices associated with the edges of the tree to be of a particular form, or to be related by some fixed rate matrix, and by not insisting on a particular distribution of colours at the root of the tree. Applications to taxonomy are outlined briefly in three corollaries.

    Subjects
    Field of Research::01 - Mathematical Sciences
    Collections
    • Engineering: Reports [695]
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    https://canterbury.libguides.com/rights/theses

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