Total variation bounds in the Lindeberg central limit theorem

N. T. Dung; H. T. P. Thao

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arXiv · 2511.02391

Total variation bounds in the Lindeberg central limit theorem

N. T. Dung·H. T. P. Thao

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Abstract

In this paper, we obtain an explicit total variation bound in the central limit theorem for the sums of non-i.i.d. random variables. Our results show that, under suitable assumptions, Lindeberg's condition is sufficient and necessary for the convergence in total variation distance.

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N. T. Dung, H. T. P. Thao. 2025-11-04. Total variation bounds in the Lindeberg central limit theorem. https://arxiv.org/abs/2511.02391

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