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All of the autoregressive parameter priors we describe here
appear to allow the autoregressive parameters to range
from to . However, in practice we effectively
truncate these priors to only
allow values between to by rejecting proposed values outside this
range when we perform the MCMC sampling.
If we are using the spatially stationary spatial AR model
(equation 10) then we use a noninformative
prior of a disperse Gaussian:
|
|
|
(12) |
with
set to a small number ().
For both the non-stationary spatial (
) and temporal
autoregressive parameters (
) we consider three
different possible priors. These are now described for ;
equivalent priors are used for
.
Subsections