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Abstract:
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The probability literature offers a vast number of results for limits of sums of exchangeable random variables, which in turn have been used in a number of problems ranging from Central Limit Theorems to applications in stochastic processes and Bayesian nonparametric statistics. Here, we will present some results for the particular case of exchangeable random variables directed by Dirichlet processes, and other almost surely discrete random probability measures. In particular we look for specific applications in Risk Theory and Renewal-type processes.
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