Abstract
In this paper we define a generalization of Edgeworth expansions for the expectation of functions of normalized sums of i.i.d. Banach space valued random vectors. These expansions are valid up to $0(n^{-(s - 2)/2})$ for functions with $3(s - 2)$ bounded Frechet derivatives and random vectors with finite $s^{th}$ absolute moment.
Citation
F. Gotze. "On Edgeworth Expansions in Banach Spaces." Ann. Probab. 9 (5) 852 - 859, October, 1981. https://doi.org/10.1214/aop/1176994312
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