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Sampling paradox

Dynamic stochastic system
Mineral processing plant
Random variable: grade

 

Static stochastic system
Mineral deposit
Random variable: grade

   
Mathematical Statistics
Geostatistics
Functional independence fundamental
Functional dependence ubiquitous
Weighted averages have variances
Kriged estimates lack variances
Variances are statistically sound
Kriging variances are pseudo variances
Spatial dependence verified
Spatial dependence assumed
Degrees of freedom indispensable
Degrees of freedom dismissed
Unbiased confidence limits quantify risk
Unbiased confidence limits are lacking
Variograms display spatial dependence
Semi-variograms make pseudo science
Smoothing makes no statistical sense
Smoothing makes geostatistical sense
Mathematical statistics is a science
Geostatistics is a scientific fraud

Click here and read an early 1990s vintage of a blatantly biased, shamelessly self-serving geostatistical peer review by Dr M Armstrong, Associate Editor, Journal of Mathematical Geology.

Click here and peruse how Professor Dr A G Journel, Standford's prominent geostatistical scholar, prevaricates about spatial dependence, "classical Fischerian [sic] statistics" and degrees of freedom on the first page of his letter to Professor Dr R Ehrlich, Editor, Journal of Mathematical Statistics.

Click here and examine my retro review of Journel and Huijbregts's Mining Geostatistics, the second textbook on geostatistics, and the first one in which authors refer to the zero kriging variance.

Click here and look at the variance formula that vanished somewhere in South Africa on Professor D G Krige's watch, and that Professor G Matheron and his disciples did without when their novelty science evolved so fortuitously.

Click here to find out who cautioned against oversmoothing to solve the rise of kriging covariances and the fall of kriging variances, which seems to imply that the requirement of functional independence can be violated a little but not a lot.

Click here and wonder about the nimble workings of geostatistical minds as degrees of freedom became a burden when a small set of measured data gives a large set of calculated distance-weighted averages-cum-kriged estimates.

 

 

 

 

 

 

 

 

 

 

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