Dual frame surveys are a device to reduce the costs derived from data collection in surveys and improve coverage for the whole target population. Since their introduction, in the 1960‘s, dual frame surveys have gained much attention and several estimators have been formulated based on a number of different approaches. In this work, we propose new dual frame estimators based on the population empirical likelihood method originally proposed by Chen and Kim (Stat Sin 24:335–355, 2014) and using both the dual and the single frame approach. The extension of the proposed methodology to more than two frame surveys is also sketched. The performance of the proposed estimators in terms of relative bias and relative mean squared error is tested through simulation experiments. These experiments indicate that the proposed estimators yield better results than other likelihood-based estimators proposed in the literature.

中文翻译：

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双框架调查中的人口经验似然估计

双框架调查是一种降低调查数据收集成本并提高对整个目标人群的覆盖面的手段。自 1960 年代推出以来，双框架调查受到了广泛关注，并基于多种不同的方法制定了一些估计量。在这项工作中，我们基于 Chen 和 Kim (Stat Sin 24:335–355, 2014) 最初提出的总体经验似然方法并同时使用双重和单框架方法，提出了新的双框架估计器。还概述了将提议的方法扩展到两个以上的框架调查。通过模拟实验测试了所提出的估计器在相对偏差和相对均方误差方面的性能。