Some correlation properties of spatial autoregressions
This paper investigates how the correlations implied by a first-order simultaneous autoregressive (SAR(1)) process are affected by the weights matrix W and the autocorrelation parameter . We provide an interpretation of the covariances between the random variables observed at two spatial units, based on a particular type of walks connecting the two units. The interpretation serves to explain a number of correlation properties of SAR(1) models, and clarifies why it is impossible to control the correlations through the specification of W.
|Date of creation:||Oct 2008|
|Date of revision:|
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- Harry H. Kelejian & Ingmar R. Prucha, 2008.
"Specification and Estimation of Spatial Autoregressive Models with Autoregressive and Heteroskedastic Disturbances,"
CESifo Working Paper Series
2448, CESifo Group Munich.
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