父母与子女相关总体的联合抽样设计

中文摘要 AI 辅助

我们提出了一种新颖的联合抽样设计，用于涉及父母和子女两个相互关联总体的调查，该设计能够处理复杂的家庭结构，包括共同父母责任和混合家庭。该设计将共同养育关系的图论表示与平衡抽样相结合。该框架确保在第一抽样阶段，从每个共同责任对中恰好选择一位父母，同时保持对父母和子女总体的准确推断。第二抽样阶段使用不等概率从每个抽样父母中选择一名子女，从而产生一致的权重和无偏估计。所提出的框架能够适应重叠的家庭关系，同时平衡两个总体的辅助信息。基于卢森堡人口登记册的结果表明，对于所有平衡变量和其他辅助变量，估计总数与已知总体总数几乎相同，证明了所提出的抽样设计具有出色的精度和效率。

英文摘要

We propose a novel joint sampling design for surveys involving two interrelated populations of parents and children in the presence of complex family structures, including shared parental responsibility and blended families. The design combines a graph-theoretic representation of co-parenting relationships with balanced sampling. This framework ensures that, in the first sampling phase, exactly one parent is selected from each co-responsibility pair while maintaining accurate inference for both the parent and child populations. A second sampling phase selects one child per sampled parent using unequal probabilities that produce consistent weighting and unbiased estimation. The proposed framework accommodates overlapping family relationships while balancing auxiliary information for both populations. Results based on the Luxembourg population registers show that the estimated totals are virtually identical to the known population totals for all balancing variables, and other auxiliary variables, demonstrating the excellent precision and efficiency of the proposed sampling design.

发表机构

• Institut de statistique, Université de Neuchâtel（纳沙泰尔大学统计研究所）
• Luxembourg Institute of Socio-Economic Research (LISER)（卢森堡社会经济研究所）

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