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Score-Driven Modeling of Spatio-Temporal Data.

Published version
Peer-reviewed

Type

Article

Change log

Abstract

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.

Description

Keywords

Multivariate Student-t distribution, Robust filtering, SAR models, Spontaneous, activations, fMRI

Journal Title

J Am Stat Assoc

Conference Name

Journal ISSN

0162-1459
1537-274X

Volume Title

Publisher

Informa UK Limited
Sponsorship
MRC (unknown)