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Multilocus conditional distribution of inheritance vectors at DS loci given phenotype vector of sibship

We will compute the multilocus conditional distribution of the inheritance vectors at all L DS loci given the affectedness pattern of a sib-pair under our general model. By Bayes Theorem and under Assumption G2:

 

Now, x and pg together yield the multilocus sib genotypes, , hence, under Assumption G1:

where labels individual sibs and

is a multilocus penetrances (or one minus a penetrance).

This multilocus conditional distribution is a function of the multilocus penetrances and the mating type frequencies which we denote by the global parameter .



Simon Cawley
Tue May 26 19:30:26 PDT 1998