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Look at the nuts and bolts of geostatistics before you do!
Armstrong's conundrum

Each kriged estimate lost its variance
Pseudo kriging variances shrink
Smooth a little but not a lot

Journel's doctrine

Assume spatial dependence
Ignore analysis of variance
Trivialize degrees of freedom

Analysis of variance, one of the most powerful tools in mathematical statistics, is widely applied in science and engineering. Analysis of variance and degrees of freedom are as inseparable as Alice and Wonderland, and will remain so until our sun turns into a red giant. In the meantime, hold on to your geostatistical textbooks or buy a few before science fiction buffs do. Complete Statistics 101 before marching around in a mathematical cul-de-sac where Matheron's gurus pound kriging drums and beat randomness by assuming, kriging, smoothing and rigging the rules of classical statistics. Contact the International Association of Mathematical Geology to find out when the kriged estimate lost its variance, why kriging variances converge on zero, and who knows how to compute unbiased confidence limits for metal contents and grades of reserves without using degrees of freedom.  

ISO Technical Committees are in the business of developing internationally recognized and scientifically sounds standards. Yet, even the Bre-X fraud didn't provide sufficient impetus to develop ISO Standards to protect mining investors. On the contrary, unbiased confidence limits for contents and grades of ore reserves remain as elusive as the variance of a single distance-weighted average-cum-kriged estimate, and the resource game is as risky now as it was during Bre-X's glory days when salting and kriging conspired so conveniently and convincingly. What recourse do mining investors have when a mine fails to make the grade?

Ironically, the world's mining industry pines to do more with less but pays scant attention to mathematical statistics. Regulatory agencies rely on members of professional associations who may teach, practice or dismiss geostatistics. Institutions of higher learning such as McGill, Stanford, UBC, and scores of others, teach the kriging game with utter contempt for mathematical statistics. All that is necessary for the proliferation of invalid statistics is that professional engineers and geoscientists do nothing. Give me your views on how to advance mathematical statistics in mineral exploration and mining. Should the world's mining industry support an ISO Technical Committee on reserves and resources estimation? Would you participate? I'll respond to serious questions but not to geostat drivel because I've had more than enough for a lifetime!

 
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