Banded spatio-temporal autoregressions

Gao, Zhaoxing, Ma, Yingying, Wang, Hansheng and Yao, Qiwei ORCID: 0000-0003-2065-8486 (2019) Banded spatio-temporal autoregressions. Journal of Econometrics, 208 (1). pp. 211-230. ISSN 0304-4076

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Abstract

We propose a new class of spatio-temporal models with unknown and banded autoregressive coefficient matrices. The setting represents a sparse structure for high-dimensional spatial panel dynamic models when panel members represent economic (or other type) individuals at many different locations. The structure is practically meaningful when the order of panel members is arranged appropriately. Note that the implied autocovariance matrices are unlikely to be banded, and therefore, the proposal is radically different from the existing literature on the inference for high-dimensional banded covariance matrices. Due to the innate endogeneity, we apply the least squares method based on a Yule– Walker equation to estimate autoregressive coefficient matrices. The estimators based on multiple Yule–Walker equations are also studied. A ratio-based method for determining the bandwidth of autoregressive matrices is also proposed. Some asymptotic properties of the inference methods are established. The proposed methodology is further illustrated using both simulated and real data sets.

Item Type:	Article
Official URL:	https://www.sciencedirect.com/journal/journal-of-e...
Additional Information:	© 2018 Crown Copyright. Published by Elsevier B.V.
Divisions:	Statistics
Subjects:	Q Science > QA Mathematics
Date Deposited:	10 Dec 2018 16:47
Last Modified:	21 Nov 2024 21:12
URI:	http://eprints.lse.ac.uk/id/eprint/91161

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