Motivated by Singh and Kumar (2010b), we introduce in this paper a general class of estimators for the population mean of a study variable when two auxiliary variables are used in the presence of nonresponse. The minimum asymptotic variance bound of the estimators belonging to the class is determined and the optimality of Singh-Kumar estimators discussed. The best estimator in the class is analytically found in accordance with the auxiliary information used, and the efficiency gain that can be achieved upon competitive estimators is shown by an empirical study.
A class of estimators in two-phase sampling with sub-sampling the non-respondents
PERRI, PIER FRANCESCO
2013-01-01
Abstract
Motivated by Singh and Kumar (2010b), we introduce in this paper a general class of estimators for the population mean of a study variable when two auxiliary variables are used in the presence of nonresponse. The minimum asymptotic variance bound of the estimators belonging to the class is determined and the optimality of Singh-Kumar estimators discussed. The best estimator in the class is analytically found in accordance with the auxiliary information used, and the efficiency gain that can be achieved upon competitive estimators is shown by an empirical study.File in questo prodotto:
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