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在含噪声的网络测量下分离时变网络构成与预测依赖关系

Separating Time-Varying Network Composition from Predictive Dependence under Noisy Network Measurement

Marios Papamichalis, Regina Ruane, Theofanis Papamichalis

arXiv 2608.23625首次发表:更新:

AI 中文总结

该研究针对含噪声测量的时变网络,提出联合建模方法以分离网络构成变化与传递强度变化,通过贸易面板数据验证了方法的有效性,明确估计对象为预测依赖关系而非因果效应。

AI 中文摘要

关于网络时间序列的一个常见问题是,结果变化是因为冲击的传递强度增强,还是因为连接模式发生了变化。标准做法是将记录的网络纳入结果回归,并将拟合系数的变动解读为传递强度的变化。当网络是潜在的、时变的且测量存在误差时,这种解读会失效:在单个日期,强度变化和构成变化可产生相同的结果分布,仅构成变化就会导致总体系数变动。当结合网络的重复噪声测量(如双边贸易流的配对报告)分析结果时,该问题便可得到解答。针对该联合模型,我们建立了局部识别的充要条件、强度与构成路径的估计量、强度路径的联合置信带、在弱识别下仍保持精确的置信集、常见报告偏差下的失效界,以及能检测观测路径变化并将其归因于强度或构成变化的精确大小检验。模拟在各方法的指定边界处对其进行评估。在1995至2020年18个经济体的镜像报告贸易面板数据上,诊断方法准确标记出危机年份,且与欧盟成员身份相关的构成坐标下降了约三分之二。该研究的估计对象是预测依赖关系,而非因果效应。

英文摘要

A common question about networked time series is whether outcomes changed because shocks transmit more strongly or because the pattern of connections changed. Standard practice inserts a recorded network into an outcome regression and reads movements of the fitted coefficient as changes in transmission strength. When the network is latent, time varying, and measured with error, this reading fails: changes in strength and changes in composition can produce the same outcome distribution at a single date, and the population coefficient moves under composition changes alone. The question becomes answerable when outcomes are analyzed jointly with repeated noisy measurements of the network, such as paired reports of bilateral trade flows. For the joint model we establish necessary and sufficient conditions for local identification, estimators of the strength and composition paths, a simultaneous confidence band for the strength path, confidence sets that remain exact under weak identification, breakdown bounds under common reporting bias, and an exactly sized test that detects changes on the observed path and attributes them to strength or to composition. Simulations assess each procedure at its stated boundary. On a mirror-reported trade panel of eighteen economies over 1995 to 2020, the diagnostics flag exactly the crisis years and the composition coordinate attached to European Union membership declines by roughly two thirds. The estimand is predictive dependence, not a causal effect.

论文原文

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