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The variogram and estimation error in connection with the assessment of continuous streams. (English) Zbl 1084.62119

Summary: The paper briefly reviews the concept of the variogram and the estimation error variance in connection with certain estimation problems. This is done in the context of their development in mineralogy. The results are then placed in the context of the assessment of flowing product streams that are continuous space, continuous time stochastic processes. The work in this area, to date, is then briefly reviewed and extended. The paper addresses both practical and theoretical issues, the latter being focused on bounding both the estimation error and the estimation error variance. For this, use is made of variations of Ostrowski’s inequality and Holder-type variograms.

MSC:

62P30 Applications of statistics in engineering and industry; control charts
62M99 Inference from stochastic processes
86A32 Geostatistics
60E15 Inequalities; stochastic orderings
93E99 Stochastic systems and control
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