A quantitative four-moment theorem characterizes Poisson convergence for shifted Poisson and Rademacher chaos variables, with a necessary maximal-influence condition in the Rademacher case.
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Four-moment criteria for Poisson convergence on Poisson and Rademacher chaoses
A quantitative four-moment theorem characterizes Poisson convergence for shifted Poisson and Rademacher chaos variables, with a necessary maximal-influence condition in the Rademacher case.