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：我们提出一种生成列联表的方法，该方法遵循具有预设边际概率和依赖结构的对数线性模型。我们利用（对数线性）泊松回归，其中使用优势比描述的依赖结构通过偏移项实现。我们将此方法应用于种群规模估计的模拟研究，采用官方统计中流行的双系统估计和三系统估计。这些估计器使用汇总各列表中被枚举或捕获元素计数的列联表。模拟用于研究在满足模型假设和违反模型假设的情况下这些估计器的表现。