Is a matrix exponential specification suitable for the modeling of spatial correlation structures?
Articolo
Data di Pubblicazione:
2017
Citazione:
Is a matrix exponential specification suitable for the modeling of spatial correlation structures? / M.E. Strauß, M. Mezzetti, S. Leorato. - In: SPATIAL STATISTICS. - ISSN 2211-6753. - 20:(2017 May), pp. 221-243. [10.1016/j.spasta.2017.04.003]
Abstract:
This paper investigates the adequacy of the matrix exponential spatial specifications (MESS) as an alternative to the widely used spatial autoregressive models (SAR). To provide as complete a picture as possible, we extend the analysis to all the main spatial models governed by matrix exponentials comparing them with their spatial autoregressive counterparts. We propose a new implementation of Bayesian parameter estimation for the MESS model with vague prior distributions, which is shown to be precise and computationally efficient. Our implementations also account for spatially lagged regressors. We further allow for location-specific heterogeneity, which we model by including spatial splines. We conclude by comparing the performances of the different model specifications in applications to a real data set and by running simulations. Both the applications and the simulations suggest that the spatial splines are a flexible and efficient way to account for spatial heterogeneities governed by unknown mechanisms.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Covariance matrix; Matrix exponential; Spatial correlation; Statistics and Probability; Computers in Earth Sciences; Management, Monitoring, Policy and Law
Elenco autori:
M.E. Strauß, M. Mezzetti, S. Leorato
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