Sampling genotypes on complex pedigrees with phenotypic constraints: the origin of the B allele among the Polar Eskimos.

Abstract excerpt

Exact probability calculations are often infeasible on large complex pedigrees. Conditional independences, however, occurring as a natural consequence of Mendelian inheritance of genetic traits, define a locally dependent Markov random field on the state space of all genotypic configurations on the pedigree. The underlying Markov chain is irreducible for most traits determined by a diallelic locus. For a given...

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