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Multiple genetic relationships: joint and conditional genotype probabilities
Author(s) -
Karigl G.
Publication year - 1982
Publication title -
annals of human genetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.537
H-Index - 77
eISSN - 1469-1809
pISSN - 0003-4800
DOI - 10.1111/j.1469-1809.1982.tb00696.x
Subject(s) - joint probability distribution , genotype , conditional probability , genetics , mathematics , conditional probability distribution , identity (music) , biology , combinatorics , statistics , gene , physics , acoustics
SUMMARY Li and Sacks derived joint and conditional genotype distributions for two relatives, neither of whom is inbred, by means of three basic stochastic matrices. These results have been generalized by Jacquard to handle consanguinity in the pedigree. It is the aim of this paper to extend the approach based on the concept of identity states to arbitrary multiple relationships. Joint and conditional genotype and phenotype probability distributions are derived for any number of individuals and applications to situations with up to three individuals are considered.