where 
and 
is an unknown. Compare the LPML to that obtained under the homoscedastic model.
8.4 Estimate the convolution model, together with predictors 
for the English crime rate data (Example 8.3), namely
where the 
are ICAR(1) and the 
are iid. Assess convergence in 
, and the impact that including predictors has on the relative importance of spatial to iid random effects. Compare the LPML with that obtained for the predictor model combined with the Leroux et al. (1999) spatial prior.
8.5 In Example 8.6, assess the impact on the profile of neighbourhood psychosis prevalence rates per 1000, 
(e.g. levels of skewness in such prevalence rates) and exceedance probabilities (where 7.75 per 1000 ...
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