On the Irreducibility of a Markov Chain Defined on a Space of Genotype Configurations by a Sampling Scheme

DOI10.2307/2532611zbMath0778.92013OpenAlexW4298221601WikidataQ48811127 ScholiaQ48811127MaRDI QIDQ5286908

Nuala A. Sheehan, Alun Thomas

Publication date: 30 August 1993

Published in: Biometrics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2532611

zbMATH Keywords

samplingGibbs samplerirreducibilityergodic theoremcounter-examplespedigree analysistransmission probabilitiesaperiodic, irreducible finite Markov chainspenetrance probabilities

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10)

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