Finite population inference for skewness measures
Abstract
In this article we consider Bowley's skewness measure and the Groeneveld-Meeden b3 index in the context of finite population sampling. We employ the functional delta method to obtain asymptotic variance formulae for plug-in estimators and propose corresponding variance estimators. We then consider plug-in estimators based on the H\'ajek cdf-estimator and on a Deville-S\"arndal type calibration estimator and test the performance of normal confidence intervals.
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