An Edgeworth Expansion for Finite-Population U-Statistics
Mindaugas Bloznelis, Friedrich Götze, Friedrich Götze · Bernoulli · 2000
Suppose that U is a U-statistic of degree 2 based on N random observations drawn without replacement from a finite population. For the distribution of a standardized version of U we construct an Edgeworth expansion with remainder O(N-1) provided that the linear part of the statistic satisfies a Cramer type condition.