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On Edgeworth expansions in the mixture cases. (English) Zbl 0669.62003

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.

MSC:

62E20 Asymptotic distribution theory in statistics
62D05 Sampling theory, sample surveys
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