双框架测量中的校准估计
Calibration estimation in dual frame surveys
摘要：
调查统计人员利用现有的辅助信息来改进估计数。一个重要的例子是校准估计，寻求新的权重接近（在某种意义上）的基本设计权重，并在同一时间，匹配基准约束的可用辅助信息。最近，多框架调查受到了广泛关注，统计机构和私营组织广泛使用这种调查，以降低抽样成本，或减少仅使用单一抽样框可能出现的框架覆盖不足错误。大量的注意力都集中在采用不同的方法来合并来自不同框架的估计数。我们将扩展的校准范例，迄今为止开发的一个框架调查，双框架调查作为一个通用工具，包括辅助信息，也可在不同的水平上的总的利益变量的估计。事实上，校准使我们能够处理不同类型的辅助信息，并可以被证明包括作为一个特殊的情况下，在文献中已经提出的一些方法。推导并讨论了所提出的估计类的理论性质，进行了一组模拟研究，以比较存在不同的辅助变量集的过程的效率。最后，所提出的方法适用于从文化的安达卢西亚调查的晴雨表的数据。
英文摘要：
Survey statisticians make use of the available auxiliary information to improve estimates. One important example is given by calibration estimation, that seeks for new weights that are close (in some sense) to the basic design weights and that, at the same time, match benchmark constraints on available auxiliary information. Recently, multiple frame surveys have gained much attention and became largely used by statistical agencies and private organizations to decrease sampling costs or to reduce frame undercoverage errors that could occur with the use of only a single sampling frame. Much attention has been devoted to the introduction of different ways of combining estimates coming from the different frames. We will extend the calibration paradigm, developed so far for one frame surveys, to the estimation of the total of a variable of interest in dual frame surveys as a general tool to include auxiliary information, also available at different levels. In fact, calibration allows us to handle different types of auxiliary information and can be shown to encompass as a special cases some of the methods already proposed in the literature. The theoretical properties of the proposed class of estimators are derived and discussed, a set of simulation studies is conducted to compare the efficiency of the procedure in presence of different sets of auxiliary variables. Finally, the proposed methodology is applied to data from the Barometer of Culture of Andalusia survey.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
