Score-Driven Modeling of Spatio-Temporal Data
时空数据的得分驱动建模AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要明确采用自回归结构和条件似然得分递推描述时间动态,直接关联时间序列建模。
时空数据的得分驱动建模AI 解读 ↓
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A simultaneous autoregressive score-driven model with autoregressive disturbances is developed for spatio-temporal data that may exhibit heavy tails. The model specification rests on a signal plus noise decomposition of a spatially filtered process,where the signal can be approximated by a nonlinear function of the past variables and a set of explanatory variables, while the noise follows a multivariate Student-t distribution. The key feature of the model is that the dynamics of the space-time varying signal are driven by the score of the conditional likelihood function.When the distribution is heavy-tailed, the score provides a robust update of the space-time varying location. Consistency and asymptotic normality ofmaximum likelihood estimators are derived along with the stochastic properties of the model. The motivating application of the proposed model comes from brain scans recorded through functional magnetic resonance imaging when subjects are at rest and not expected to react to any controlled stimulus. We identify spontaneous activations in brain regions as extreme values of a possibly heavy-tailed distribution, by accounting for spatial and temporal dependence.