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Let X_1, X_2, …, X_n be a sample of size n from a random discrete distribution P on the real line R. If we consider i and j are equivalent in case of X_i = X_j, this equivalence relation give a random... partition of N_n = {1, 2, …, n}. In the case where P is given by a mixture of Dirichlet processes, we discuss the convergence in distribution of the number K_n of distinct components of the random partition of N_n.show more
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