On the Application of Markov Chain Monte Carlo Methods to Genetic Analyses on Complex Pedigrees

DOI10.1111/j.1751-5823.2000.tb00389.xzbMath1107.92305OpenAlexW2056507745MaRDI QIDQ4831973

Nuala A. Sheehan

Publication date: 3 January 2005

Published in: International Statistical Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1751-5823.2000.tb00389.x

zbMATH Keywords

Genetics, eugenics

Mathematics Subject Classification ID

Numerical analysis or methods applied to Markov chains (65C40) Genetics and epigenetics (92D10)

Related Items

Bayesian pedigree inference with small numbers of single nucleotide polymorphisms via a factor-graph representation ⋮ Improved maximum likelihood reconstruction of complex multi-generational pedigrees ⋮ Use of the Gibbs sampler in expert systems ⋮ Graphical models for genetic analyses

Cites Work

• Probability functions on complex pedigrees
• Block updating in constrained Markov chain Monte Carlo sampling
• Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• Computer-simulation methods in human linkage analysis.
• Multipoint Linkage Analysis via Metropolis Jumping Kernels
• Problems with Determination of Noncommunicating Classes for Monte Carlo Markov Chain Applications in Pedigree Analysis
• A Scheme for Constructing an Irreducible Markov Chain for Pedigree Data
• Annealing Markov Chain Monte Carlo with Applications to Ancestral Inference
• On the Irreducibility of a Markov Chain Defined on a Space of Genotype Configurations by a Sampling Scheme
• Monte Carlo sampling methods using Markov chains and their applications