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Calibrated linear unbiased estimators in finite population sampling. (English) Zbl 1267.62019
Summary: R. A. Sugden and T. R. A. Smith [J. Stat. Plann. Inference 102, No. 1, 25–38 (2002; Zbl 0989.62009)] and J. N. K. Rao [Discussion of the paper by Sugden and Smith, ibid. 102, 39–40 (2002)] suggested some useful techniques of deriving a linear unbiased estimator of a finite population total by modifying a given linear estimator. In this paper we suggest various generalizations of their results. In particular, we search for estimators satisfying the calibration property with respect to a related auxiliary variable and obtain some new calibrated unbiased ratio-type estimators for arbitrary sampling designs. We also explore a few properties of one of the estimators suggested in Sugden and Smith [op. cit.].

MSC:
62D05 Sampling theory, sample surveys
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