论文标题
$ d $ - 最佳设计用于泊松回归，具有协同互动效果
$ D $-optimal designs for Poisson regression with synergetic interaction effect
论文作者
论文摘要
我们在具有协同互动的二维Poisson回归模型中表征了$ D $ - 最佳的设计，并提供明确的证明。证明是基于根据恒定强度轮廓对设计区域进行重新聚集的想法。这种方法导致复杂性的大幅度降低，因为可以分别处理灵敏度的特性。此外，提出了该结果的一些扩展为更高的维度。
We characterize $D$-optimal designs in the two-dimensional Poisson regression model with synergetic interaction and provide an explicit proof. The proof is based on the idea of reparameterization of the design region in terms of contours of constant intensity. This approach leads to a substantial reduction of complexity as properties of the sensitivity can be treated along and across the contours separately. Furthermore, some extensions of this result to higher dimensions are presented.
