论文标题
部分可观测时空混沌系统的无模型预测
A unified approach to radial, hyperbolic, and directional efficiency measurement in Data Envelopment Analysis
论文作者
论文摘要
本文通过统一的一般方案分析了大型“基于路径”数据包络分析模型的属性。该方案包括众所周知的定向径向模型，双曲线距离函数模型，方向距离函数模型，甚至允许其概括。该建模不受限制地限制在非负数据上，并且足够灵活，可以通过任意数据来适应标准模型的变体。 本文中开发的数学工具可以从十个理想属性的角度进行系统分析。结果表明，对一般方案中所有模型的某些属性都得到满足（分别，失败），而其他模型则具有更细微的行为，并且必须在每个模型中单独评估。我们的结果可以帮助研究人员和从业者在不同的模型之间导航，并将模型应用于混合数据。
The paper analyses properties of a large class of "path-based" Data Envelopment Analysis models through a unifying general scheme. The scheme includes the well-known oriented radial models, the hyperbolic distance function model, the directional distance function models, and even permits their generalisations. The modelling is not constrained to non-negative data and is flexible enough to accommodate variants of standard models over arbitrary data. Mathematical tools developed in the paper allow systematic analysis of the models from the point of view of ten desirable properties. It is shown that some of the properties are satisfied (resp., fail) for all models in the general scheme, while others have a more nuanced behaviour and must be assessed individually in each model. Our results can help researchers and practitioners navigate among the different models and apply the models to mixed data.
