Abstract
In this paper, a new technique is introduced to obtain non-uniform Berry-Esseen bounds for normal and nonnormal approximations by unbounded exchangeable pairs. This technique does not rely on the concentration inequalities developed by Chen and Shao [4,5] and can be applied to the quadratic forms and the general Curie-Weiss model.
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Acknowledgement
We thank Prof. Qiman Shao for helpful comments and suggestions.
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This research work is supported by National Key R&D Program of China(2018YFA0703900), the National Natural Science Foundation of China(11701331), Shandong Provincial Natural Science Foundation(ZR2017QA007) and Young Scholars Program of Shandong University.
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Liu, Dl., Li, Z., Wang, Hc. et al. Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach. Appl. Math. J. Chin. Univ. 36, 256–268 (2021). https://doi.org/10.1007/s11766-021-3933-0
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DOI: https://doi.org/10.1007/s11766-021-3933-0