The validity of the one-term Edgeworth expansion is proved for the multivariate mean of a random sample drawn without replacement under a limiting non-latticeness condition on the population. The theorem is applied to deduce the one-term expansion for the univariate statistics which can be expressed in a certain linear plus quadratic form. An application of the results to the theory of bootstrap is mentioned. A one-term expansion is also proved in the univariate lattice case. © 1985.
Babu, G. J., & Singh, K. (1985). Edgeworth expansions for sampling without replacement from finite populations. Journal of Multivariate Analysis, 17(3), 261–278. https://doi.org/10.1016/0047-259X(85)90084-3