Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs

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  In this talk a new Berry-Esseen bound for unbounded exchangeable pair will be discussed.The result can be used for both normal and nonnormal approximation.The optimal convergence rates are obtained for many applications,such as the quadratic forms,the general Curie-Weiss model,the mean field Heisenberg model,colored graph model and the number of prime factors.
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