We present a method to generate contingency tables that follow loglinear models with prescribed marginal probabilities and dependence structures. We make use of (loglinear) Poisson regression, where the dependence structures, described using odds ratios, are implemented using an offset term. We apply this methodology to carry out simulation studies in the context of population size estimation using dual system and triple system estimators, popular in official statistics. These estimators use contingency tables that summarise the counts of elements enumerated or captured within lists that are linked. The simulation is used to investigate these estimators in the situation that the model assumptions are fulfilled, and the situation that the model assumptions are violated.

翻译：本文提出一种生成遵循对数线性模型的列联表的方法，该方法可预设边缘概率与依赖结构。我们采用（对数线性）泊松回归技术，其中通过偏移项实现以比值比描述的依赖结构。我们将此方法应用于基于双系统与三系统估计量（官方统计学中常用方法）的人口规模估计模拟研究。这些估计量使用汇总各关联列表中枚举或捕获元素计数的列联表。模拟旨在探究模型假设满足与违背两种情况下这些估计量的表现特性。