Abstract The transformation of area aggregates between non-hierarchical area systems (administrative areas) is a standard problem in official statistics. For this problem, we present a proposal which is based on kernel density estimates. The approach applies a modification of a stochastic expectation maximization algorithm, which was proposed in the literature for the transformation of totals on rectangular areas to kernel density estimates. As a by-product of the routine, one obtains simulated geo-coordinates for each unit. With the help of these geo-coordinates, it is possible to calculate case numbers for any area system of interest. The proposed method is evaluated in a design-based simulation based on a close-to-reality, simulated data set with known exact geo-coordinates. In the empirical part, the method is applied to student resident figures from Berlin, Germany. These are known only at the level of ZIP codes, but they are needed for smaller administrative planning districts. Results for (a) student concentration areas and (b) temporal changes in the student residential areas between 2005 and 2015 are presented and discussed.

中文翻译：

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通过模拟地理坐标在不同的非横式行政区域之间进行切换：以柏林的学生为例

摘要非等级区域系统（行政区域）之间的区域总量转换是官方统计中的一个标准问题。针对这个问题，我们提出了一个基于核密度估计的提议。该方法对随机期望最大化算法进行了修改，该算法在文献中提出，用于将矩形区域上的总数转换为核密度估计。作为该例程的副产品，可以获得每个单元的模拟地理坐标。借助这些地理坐标，可以计算任何感兴趣的区域系统的案例编号。在具有真实精确地理坐标的接近真实的模拟数据集的基础上，对基于设计的模拟方法进行了评估。在经验部分，该方法适用于来自德国柏林的学生居民数据。这些仅在邮政编码级别才知道，但是较小的行政规划区需要它们。介绍和讨论了（a）学生集中区和（b）2005年至2015年学生居住区的时间变化的结果。