regular grid, represented in various ...Table 1.2 Elevation data: elevation 
2 Chapter 2Table 2.1 Some radial covariance functions.Table 2.2 Special cases of the Matérn covariance function in 2.34 for half‐...Table 2.3 Some examples of stationary covariance functions
3 Chapter 3Table 3.1 Self‐similar random fields with spectral density
4 Chapter 5Table 5.1 Parameter estimates (and standard errors) for the bauxite data us...Table 5.2 Parameter estimates (and standard errors) for the elevation data ...Table 5.3 Parameter estimates (with standard errors in parentheses) for Vec...
5 Chapter 7Table 7.1 Notation used for kriging at the data sites
6 Appendix ATable A.1 Types of domain.Table A.2 Domains for Fourier transforms and inverse Fourier transforms in ...Table A.3 Three types of boundary condition for a one‐dimensional set of da...Table A.4 Some examples of Toeplitz, circulant, and folded circulant matric...Table A.5 First and second derivatives of
List of Illustrations
1 Chapter 1Figure 1.1 Fingerprint of R A Fisher, taken from Mardia's personal collectio...Figure 1.2 Elevation data: (a) raw plot giving the elevation at each site an...Figure 1.3 Panels (a), (b), and (c) show interpolated plots for the elevatio...Figure 1.4 Bauxite data: (a) raw plot giving the ore grade at each site and ...Figure 1.5 Landsat data (
2 Chapter 2Figure 2.1 Matérn covariance functions for varying index parameters. The ran...
3 Chapter 3Figure 3.1 Examples of radial semivariograms: the power schemes
4 Chapter 4Figure 4.1 Panels (a) and (b) illustrate the first‐order basic and full neig...Figure 4.2 Three notions of “past” of the origin in
5 Chapter 5Figure 5.1 Bauxite data: Bubble plot and directional semivariograms.Figure 5.2 Elevation data: Bubble plot and directional semivariograms.Figure 5.3 Bauxite data: Profile log‐likelihoods together with 95% confidenc...Figure 5.4 Bauxite data: sample isotropic semivariogram values and fitted Ma...Figure 5.5 Elevation data: Profile log‐likelihoods together with 95% confide...Figure 5.6 Unilateral lexicographic neighborhood of full size
6 Chapter 6Figure 6.1 Mercer–Hall data: bubble plot. See Example 6.1 for an interpretat...Figure 6.2 A plot of the sample and two fitted covariance functions (“biased...Figure 6.3 A plot of the sample and two fitted covariance functions (“fold‐m...Figure 6.4 Relative efficiency of the composite likelihood estimator in AR(1...
7 Chapter 7Figure
