Abstract
Speeds of convergence to normality and asymptotic expansions for sums of independent random vectors in $\mathbb{R}^k, k \geqslant 1$ are investigated using the method of operators. Existing results are improved and some new results obtained. In particular, asymptotic expansions for smooth functions are derived.
Citation
T. J. Sweeting. "Speeds of Convergence and Asymptotic Expansions in the Central Limit Theorem: A Treatment by Operators." Ann. Probab. 8 (2) 281 - 297, April, 1980. https://doi.org/10.1214/aop/1176994777
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