On the variational distance of two trees
M. A. Steel and L. A. Székely
Source: Ann. Appl. Probab. Volume 16, Number 3
(2006), 1563-1575.
Abstract
A widely studied model for generating sequences is to “evolve” them on a tree according to a symmetric Markov process. We prove that model trees tend to be maximally “far apart” in terms of variational distance.
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Keywords: Cavender–Farris–Neyman model; symmetric binary channel; tree-based Markov process; Yule–Harding distribution; phylogeny reconstruction; sequence evolution; q-state Potts model; Jukes–Cantor model; variational distance
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aoap/1159804991
Digital Object Identifier: doi:10.1214/105051606000000196
Zentralblatt MATH identifier: 1111.62111
Mathematical Reviews number (MathSciNet): MR2260073
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Digital Object Identifier: doi:10.1214/105051606000000196
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Zentralblatt MATH: 1111.62111
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