When considering simultaneous inference for two parameters, it is very common to visualize stochastic uncertainty by plotting two-dimensional confidence regions. This allows us to test post hoc null hypotheses about a single point in a simple manner. However, in some applications the interest is not in rejecting hypotheses on single points, but in demonstrating evidence for the two parameters to be in a convex subset of the parameter space. The specific convex subset to be considered may vary from one post hoc analysis to another. Then it is of interest to have a visualization allowing to perform corresponding analyses. We suggest comparison regions as a simple tool for this task.

中文翻译：

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在一些双参数估计问题中使用比较区域来可视化随机不确定性

在考虑对两个参数进行同时推理时，通过绘制二维置信区域来可视化随机不确定性是很常见的。这使我们能够以简单的方式测试关于单个点的事后零假设。然而，在某些应用中，感兴趣的不是拒绝单个点的假设，而是证明两个参数在参数空间的凸子集中的证据。要考虑的特定凸子集可能因一种事后分析而异。然后有一个可视化允许执行相应的分析是很有趣的。我们建议将比较区域作为此任务的简单工具。