On Edgeworth Expansions in the Mixture Cases
Gutti Jogesh Babu, Kesar Singh · The Annals of Statistics · 1989
Let $X$ be a random vector with at least one marginal having a lattice distribution. For a wide class of statistics which can be written as a function of means of independent copies of $X$, it is established in this article that the one-term Edgeworth expansion is typically the same as the usual one-term expansion in the pure nonlattice case.