This thesis is concerned with aspects of statistical inference for Gaussian random fields when the ultimate objective is prediction. If we wish to predict a value for a random field at unobserved locations in a bounded region it is essential to have …
The impact of using an incorrect covariance function on kriging predictors is investigated. Results of Stein (1988) show that the impact on the kriging predictor from not using the correct covariance function is asymptotically negligible as the …