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On the distribution of sample mean in finite populations. I
Authors:J Turkuvien?  A Bikelis
Institution:(1) Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania
Abstract:We obtain Bergström-type 2] asymptotic expansions for sample mean in finite population 8]. Analogues of the Cornish-Fisher transformation are obtained in the cases of limit distributions from class $\mathcal{L}$ and distributions of sums of independent identically distributed random variables (in 2], the Bergström equality is used).
Keywords:Bergstr?m equality  Cornish-Fisher transformation  finite population  Hájek lemma
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