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Exchangeable Gibbs partitions and Stirling triangles

, and . Journal of Mathematical Sciences, 138 (3): 5674--5685 (October 2006)

Abstract

Abstract  For two collections of nonnegative and suitably normalized weights W = (Wj) and V = (Vn,k), a probability distribution on the set of partitions of the set 1, …, n is defined by assigning to a generic partition Aj, j ≤ k the probability Vn,k

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