Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables

Sergio Albeverio, Song Liang

Let X_i, i\in N, be i.i.d. B-valued random variables, where B is a real separable Banach space. Let Φbe a smooth enough mapping from B into R. An asymptotic evaluation of Z_n=E(\ex…