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Kernel Averaged Predictors for Spatio-Temporal Regression Models.

Publication ,  Journal Article
Heaton, MJ; Gelfand, AE
Published in: Spatial statistics
December 2012

In applications where covariates and responses are observed across space and time, a common goal is to quantify the effect of a change in the covariates on the response while adequately accounting for the spatio-temporal structure of the observations. The most common approach for building such a model is to confine the relationship between a covariate and response variable to a single spatio-temporal location. However, oftentimes the relationship between the response and predictors may extend across space and time. In other words, the response may be affected by levels of predictors in spatio-temporal proximity to the response location. Here, a flexible modeling framework is proposed to capture such spatial and temporal lagged effects between a predictor and a response. Specifically, kernel functions are used to weight a spatio-temporal covariate surface in a regression model for the response. The kernels are assumed to be parametric and non-stationary with the data informing the parameter values of the kernel. The methodology is illustrated on simulated data as well as a physical data set of ozone concentrations to be explained by temperature.

Duke Scholars

Published In

Spatial statistics

DOI

EISSN

2211-6753

ISSN

2211-6753

Publication Date

December 2012

Volume

2

Start / End Page

15 / 32

Related Subject Headings

  • 4905 Statistics
  • 0801 Artificial Intelligence and Image Processing
  • 0104 Statistics
 

Citation

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Chicago
ICMJE
MLA
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Heaton, M. J., & Gelfand, A. E. (2012). Kernel Averaged Predictors for Spatio-Temporal Regression Models. Spatial Statistics, 2, 15–32. https://doi.org/10.1016/j.spasta.2012.05.001
Heaton, Matthew J., and Alan E. Gelfand. “Kernel Averaged Predictors for Spatio-Temporal Regression Models.Spatial Statistics 2 (December 2012): 15–32. https://doi.org/10.1016/j.spasta.2012.05.001.
Heaton MJ, Gelfand AE. Kernel Averaged Predictors for Spatio-Temporal Regression Models. Spatial statistics. 2012 Dec;2:15–32.
Heaton, Matthew J., and Alan E. Gelfand. “Kernel Averaged Predictors for Spatio-Temporal Regression Models.Spatial Statistics, vol. 2, Dec. 2012, pp. 15–32. Epmc, doi:10.1016/j.spasta.2012.05.001.
Heaton MJ, Gelfand AE. Kernel Averaged Predictors for Spatio-Temporal Regression Models. Spatial statistics. 2012 Dec;2:15–32.
Journal cover image

Published In

Spatial statistics

DOI

EISSN

2211-6753

ISSN

2211-6753

Publication Date

December 2012

Volume

2

Start / End Page

15 / 32

Related Subject Headings

  • 4905 Statistics
  • 0801 Artificial Intelligence and Image Processing
  • 0104 Statistics