RESIDUAL FRACTIONS OF SIZE-BIASED PERMUTATIONS OF DISCRETE PRIOR ASSOCIATED WITH GIBBS PARTITIONS

A prior distribution is considered over all discrete distributions on positive integers. The sample from this prior yields a random partition of integers. We consider the case in which the distribution of the random partition is described by the Gibbs form. We give the distributions of the residual fractions of residual allocation model based on the size-biased permutation of a prior distribution