“…Formally, for every SNP locus i ∈ {1, … , n }, we let
be a random variable representing the allele observed at this locus on the maternal (paternal) chromosome of the individual under study, and
be a random variable denoting the founder haplotype from which H i (respectively
) originates. As in previous works [ 15 , 17 , 28 - 30 ], we assume that F i form the states of a first order HMM with emissions H i , and estimate probabilities P ( f 1 ), P ( f i +1 | f i ), and P ( h i | f i )) using the classical Baum-Welch algorithm [ 31 ] based on haplotypes inferred from a panel representing the population of origin of the individual’s mother. Probabilities
, and
are estimated in the same way based on haplotypes inferred from a panel representing the population of origin of the individual’s father.…”