
Transformed Gaussian Random Fields with Additive Measurement Error 531
FIGURE 25.3
Estimates of B
γ,γ
1
against λ for fixed value of φ = 37 (left panel) and against
φ for fixed values of λ (right panel). The circles s how some of the skeleton
points.
of posterior means of the parameter are given in Table 25.1. The standard
errors of the MCMC estimators are computed us ing the method of overlap-
ping batch means [13] and als o given in Table 25.1. Predictions of Z(s) and
the corresponding prediction standard deviations are presented in Figure 25.4.
Note that for the prediction, the MCMC sa mple is sca led back to the original
scale of the data.
Using the