Kriging made easy or assessing the linear unbiased minimum variance estimate by adapting the projection theorem |
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Authors: | Matti Heikkilä Esko Koistinen |
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Affiliation: | (1) System Planning Department, Imatran Voima Oy, Helsinki, Finland;(2) Exploration Department, Geological Survey of Finland, Espoo, Finland |
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Abstract: | A new approach has been arrived at for determining the linear unbiased minimum variance estimate of ore reserves, or the Kriging. The approach rests heavily on geometric intuition, which reduces the estimation to the simple task of determining an orthogonal projection. First, the problem is presented and solved in ordinary three-dimensional space. The result is stated in matrix formulation, lending itself to a simple generalization in higher dimensions. Then, the general problem is stated in random-variable notation and solved via the results derived. Finally, an illustrative example is given to demonstrate the new approach. |
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