Non-uniform estimates of the rate of convergence in the central limit theorem for sums of independent identically distributed summands are refined under the condition that the summands possess moments of orders no higher than two.
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Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, Vol. 23, pp. 32–45, 2011
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Korolev, V.Y., Popov, S.V. A Refinement of Non-Uniform Estimates of the Rate of Convergence in the Central Limit Theorem Under the Existence of Moments of Orders No Higher Than Two. J Math Sci 267, 147–157 (2022). https://doi.org/10.1007/s10958-022-06120-3
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DOI: https://doi.org/10.1007/s10958-022-06120-3