Babu, G. J.; Singh, K. On Edgeworth expansions in the mixture cases. (English) Zbl 0669.62003 Ann. Stat. 17, No. 1, 443-447 (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. Cited in 8 Documents MSC: 62E20 Asymptotic distribution theory in statistics 62D05 Sampling theory, sample surveys Keywords:characteristic functions; ratio estimators; lattice distribution; one- term Edgeworth expansion; nonlattice case × Cite Format Result Cite Review PDF Full Text: DOI