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Geostatistical modelling for spatial interaction data with application to postal service performance

Publication ,  Journal Article
Banerjee, S; Gelfand, AE; Polasek, W
Published in: Journal of Statistical Planning and Inference
September 1, 2000

The geostatistical spatial modelling framework envisions a random spatial process model Y(s) over a region S which is observed at spatial locations, say, s1,s2,...,sn. In the stationary Gaussian case, a mean function and a covariance function fully specify the process. Here, we consider data which, instead, is related to pairs of locations. Such data, denoted by Y(si,sj) for the pair si,sj is customarily referred to as spatial interaction data. We adopt a much broader view of such data but still seek a geostatistical modelling framework. We also wish to accommodate samples of independent but not identically distributed responses at each pair. These responses need not follow a Gaussian model. Our approach is to introduce a hierarchical model capturing spatial interaction at the second stage using a bivariate Gaussian spatial process. Very flexible classes of models result. We illustrate with an application to postal service performance with regard to delivery of priority mail using a designed experiment involving 79,557 letters. © 2000 Elsevier Science B.V.

Duke Scholars

Published In

Journal of Statistical Planning and Inference

DOI

ISSN

0378-3758

Publication Date

September 1, 2000

Volume

90

Issue

1

Start / End Page

87 / 105

Related Subject Headings

  • Statistics & Probability
  • 0104 Statistics
 

Citation

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Banerjee, S., Gelfand, A. E., & Polasek, W. (2000). Geostatistical modelling for spatial interaction data with application to postal service performance. Journal of Statistical Planning and Inference, 90(1), 87–105. https://doi.org/10.1016/s0378-3758(00)00111-7
Banerjee, S., A. E. Gelfand, and W. Polasek. “Geostatistical modelling for spatial interaction data with application to postal service performance.” Journal of Statistical Planning and Inference 90, no. 1 (September 1, 2000): 87–105. https://doi.org/10.1016/s0378-3758(00)00111-7.
Banerjee S, Gelfand AE, Polasek W. Geostatistical modelling for spatial interaction data with application to postal service performance. Journal of Statistical Planning and Inference. 2000 Sep 1;90(1):87–105.
Banerjee, S., et al. “Geostatistical modelling for spatial interaction data with application to postal service performance.” Journal of Statistical Planning and Inference, vol. 90, no. 1, Sept. 2000, pp. 87–105. Scopus, doi:10.1016/s0378-3758(00)00111-7.
Banerjee S, Gelfand AE, Polasek W. Geostatistical modelling for spatial interaction data with application to postal service performance. Journal of Statistical Planning and Inference. 2000 Sep 1;90(1):87–105.
Journal cover image

Published In

Journal of Statistical Planning and Inference

DOI

ISSN

0378-3758

Publication Date

September 1, 2000

Volume

90

Issue

1

Start / End Page

87 / 105

Related Subject Headings

  • Statistics & Probability
  • 0104 Statistics