## The Annals of Probability

### On Edgeworth Expansions in Banach Spaces

F. Gotze

#### 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.

#### Article information

Source
Ann. Probab., Volume 9, Number 5 (1981), 852-859.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176994312

Digital Object Identifier
doi:10.1214/aop/1176994312

Mathematical Reviews number (MathSciNet)
MR628877

JSTOR