In a Bayes mixture probability density calculator for calculating Bayes mixture
probability density which reduces a logarithmic loss A modified Bayes mixture probability
density is calculated by mixing traditional Bayes mixture probability density calculated
on given model S with a small part of Bayes mixture probability density for exponential
fiber bundle on the S. Likewise, a prediction probability density calculator is
configured by including the Bayes mixture probability density calculator, and by
using Jeffreys prior distribution in traditional Bayes procedure on the S.