| List of Mathematical Definitions Ust of Theorems List of Corollaries List of Lemmas Preface Chapter 1: Introduction Chapter 2: Simple Kriging Properties of Linear Combinations of Variates Assumptions and Definitions The Estimation Variance Normal Equations Minimum Mean Square Error Algorithm EXERCISE 2. 1 Properties EXERCISE 2.2 Chapter 3: Normalization Comparing Two Distributions EXERCISE 3.1 Normal Score Transformation Simple Kriging of Normal Scores EXERCISE 3.2 Chapter 4: Ordinary Kriging Assumptions Important Relationships The Estimator The Estimation Variance The Optimization Problem Minimum Mean Square Error Algorithm for Intrinsic Random Functions Second Order Stationary Ordinary Kriging EXERCISE 4.1 Properties Relating Simple and Ordinary Kriging Search Neighborhood Quasi-Stationary Estimator Chapter 5: The Semivariogram The Semivariogram of the Random Function The Experimental Semivariogram EXERCISE 5. 1 Anisotropy and Drift Semivariogram Models Additivity Parameter Estimation by Trial and Error Automatic Parameter Fitting EXERCISE 5.2 Support Direct Applications Chapter 6: Universal Kriging The Estimator Assumptions Unbiasedness Estimation Variance Optimization Minimum Mean Square Error Algorithm for Intrinsically Stationary Residuals Second Order Stationary Universal Kriging Practice EXERCISE 6.1 Chapter 7: Crossvalidation Alternative Evaluation Method EXERCISE 7.1 Diagnostic Statistics EXERCISE 7.2 Chapter 8: Drift and Residuals Assumptions Unbiasedness Estimation Variance Optimal Estimator Minimum Estimation Variance Algorithmic Summary Residuals EXERCISE 8.1 …… Chapter 9: Stochastic Simulation Chapter 10: Rellability Chapter 11: Cumulative Distribution Estimators Chapter 12: Block Kriging Chapter 13: Ordinary Cokriging Chapter 14: Regionalized Classification References Appendix A:West Lyons Field Sampling Appendix B:High Plains Aquifer Sampling Appendix C:UNCF Sampling Appendix D:Dakota Aquifer Sampling Author Index Subject Index |
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