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Statistics and Computing

, Volume 10, Issue 3, pp 259–269 | Cite as

Multilocus linkage analysis by blocked Gibbs sampling

  • Alun Thomas
  • Alexander Gutin
  • Victor Abkevich
  • Aruna Bansal
Article

Abstract

The problem of multilocus linkage analysis is expressed as a graphical model, making explicit a previously implicit connection, and recent developments in the field are described in this context. A novel application of blocked Gibbs sampling for Bayesian networks is developed to generate inheritance matrices from an irreducible Markov chain. This is used as the basis for reconstruction of historical meiotic states and approximate calculation of the likelihood function for the location of an unmapped genetic trait. We believe this to be the only approach that currently makes fully informative multilocus linkage analysis possible on large extended pedigrees.

genetic linkage graphical models Markov chain Monte Carlo peeling 

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Alun Thomas
    • 1
    • 2
  • Alexander Gutin
    • 1
  • Victor Abkevich
    • 1
  • Aruna Bansal
    • 2
    • 3
  1. 1.Myriad Genetics Inc.Salt Lake CityUSA;
  2. 2.Genetic Epidemiology, Department of Medical InformaticsUniversity of UTUSA
  3. 3.IHC Genetic ResearchUSA

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