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Leverage and Influence Diagnostics for Spatial Point Processes

机译:空间点过程的杠杆和影响诊断

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摘要

For a spatial point process model fitted to spatial point pattern data, we develop diagnostics for model validation, analogous to the classical measures of leverage and influence in a generalized linear model. The diagnostics can be characterized as derivatives of basic functionals of the model. They can also be derived heuristically (and computed in practice) as the limits of classical diagnostics under increasingly fine discretizations of the spatial domain. We apply the diagnostics to two example datasets where there are concerns about model validity.
机译:对于适合于空间点模式数据的空间点过程模型,我们开发了用于模型验证的诊断程序,类似于通用线性模型中杠杆和影响的经典度量。诊断可以被表征为模型的基本功能的衍生物。在空间域日益精细化的情况下,它们还可以启发式地推导(并在实践中进行计算)作为经典诊断的局限性。我们将诊断应用于模型有效性的两个示例数据集。

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