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Superconvergence in free probability limit theorems for arbitrary triangular arrays
Published 4 Feb 2022 in math.PR, math.FA, and math.OA | (2202.02240v1)
Abstract: It is known that limit theorems for triangular arrays with identically distributed rows yields convergence of densities rather than just convergence in distribution. We show that this superconvergence result holds -- at least at points at which the limit density is nonzero -- even if the rows of the array are not identically distributed.
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