title: Distribution of likelihood ratio in relation to the exclusion probability.
abstract: The relation between the exclusion probability (E) and the paternity probability is derived by assuming the distributions of logarithm of paternity likelihood ratio, log(Y/X) for true fathers and unexcluded non-fathers as the normal distributions. Under this assumption the value log(1-E) is equal to the mean of the mean value for true fathers (a) and that for unexcluded non-fathers (b), i.e., log(1-E)=(a+b)/2. This relation holds quite well for the various actual distributions of log(Y/X) of father-child combinations and those of father-mother-child combinations using 14 blood group systems. Therefore, the derived relation is found to be a convenient way to deduce one of the three quantities (E, a, b) from the remaining two quantities in the actual distributions.
mesh_terms: D001789:Blood Group Antigens / Q000235:genetics; D002648:Child; D005260:Female; D005819:Genetic Markers; D006801:Humans; D008297:Male; D010334:Paternity; D010641:Phenotype; D011336:Probability
chemical_list: D001789:Blood Group Antigens; D005819:Genetic Markers