Efficient balanced sampling: The cube method

• 成果类型: Article
• 署名作者: Deville, JC; Tillé, Y
• 署名单位: Ecole Nationale de la Statistique et de l'Analyse de l'Information (ENSAI); University of Neuchatel
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/91.4.893
• 发表日期: 2004
• 页码: 893912
• 关键词: varying probabilities; ASYMPTOTIC THEORY; Finite; selection; plans

摘要

A balanced sampling design is defined by the property that the Horvitz-Thompson estimators of the population totals of a set of auxiliary variables equal the known totals of these variables. Therefore the variances of estimators of totals of all the variables of interest are reduced, depending on the correlations of these variables with the controlled variables. In this paper, we develop a general method, called the cube method, for selecting approximately balanced samples with equal or unequal inclusion probabilities and any number of auxiliary variables.