The minimal observable Glade size of exchangeable coalescents
Por:
Freund, Fabian, Siri-Jegousse, Arno
Publicada:
1 may 2021
Categoría:
Statistics and probability
Resumen:
For Lambda-n-coalescents with mutation, we analyse the minimal ob-
servable Glade size O-n. For a given individual i is an element of (1,
..., n, the minimal ob- servable Glade size O-n, (i) is 1 plus the
number of other individuals j such that every non-singleton mutation
inherited by i is also inherited by j. We provide asymptotics of O-n as
n -> infinity and a recursion for all moments of O-n for finite n. This
statistic gives an upper bound for the minimal Glade size (Advances in
Applied Probability 37 (2005) 647-662) which is not observable in real
data (in contrast to O-n). In applications to genetics, it has been
shown to be useful to lower classification errors in genealogical model
selection (Freund and Siri-Jegousse, 2020).
Filiaciones:
Freund, Fabian:
Univ Hohenheim, Inst Plant Breeding Seed Sci & Populat Genet, Crop Plant Biodivers & Breeding Informat Grp 350b, Fruwirthstr 21, D-70599 Stuttgart, Germany
Siri-Jegousse, Arno:
Univ Nacl Autonoma Mexico, Dept Probabilidad & Estadist, IIMAS, Mexico City, DF, Mexico
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