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
.