Page 199 - Modern Spatiotemporal Geostatistics

180 Modern Spatiotemporal Geostatistics — Chapter 9

Figure 9.3. BME confidence sets $,, for x^ and Xk 2 constructed from (a)
multipoint analysis, and (b) single-point analysis using the BME confi-
dence intervals.

Figure 9.4. Variation of the size || <!>,, || of the BME confidence sets as a
function of the confidence probability rj for the two-point and single-
point analyses.

bivariate pdf f%(Xki,Xk 2) of the two-point analysis with the product of the
univariate pdf's ^c(xfei) and f%(xk 2) of the single-point analysis—which cor-
responds to assuming (for the sake of analysis) that the variables x^ and xjt 2
at the estimation points are independent. It is evident from Figure 9.3 that the
shapes of the confidence sets are significantly different; indeed Figure 9.3b