Robust estimation in finite population sampling

Mathematics – Statistics Theory

Scientific paper

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Published in at http://dx.doi.org/10.1214/193940307000000086 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

10.1214/193940307000000086

The paper proposes some robust estimators of the finite population mean. Such
estimators are particularly suitable in the presence of some outlying
observations. Included as special cases of our general result are robust
versions of the ratio estimator and the Horvitz-Thompson estimator. The robust
estimators are derived on the basis of certain predictive influence functions.

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