Let njk be any strongly consistent sequence of estimators of jk for polyploid radiation hybrid data. Prove

Let ˆθnjk be any strongly consistent sequence of estimators of θjk for polyploid radiation hybrid data. Prove that minimizing the estimated total distance D(σ) = −

m

−1 i=1 ln[1 − ˆθn,σ(i),σ(i+1)]

between the first and last loci of an order σ provides a strongly consistent criterion for choosing the true order.