Asymptotic expansions for moments in the central limit theorem in Banach spaces
The author proves asymptotic expansions for the expectation of sufficiently often Fréchét differentiable functions f (which may grow exponentially as a function of the norm) applied to i.i.d. sums of Banach space valued random vectors. The results are valid provided that the CLT holds in the Banach space and these expectations exist. The result extends previous results of Paulauskas, the reviewer, the author and Kruglov.
scientific article; zbMATH DE number 4060415
scientific article