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Estimation of parameters in petrologic materials balance equations
Authors:N H Gray
Institution:(1) Department of Geology and Geography and Institute of Material Sciences, University of Connecticut, USA
Abstract:A rigorous treatment of the least-squares estimation of the parameters in petrologic materials balance equations is developed to take into account the uncertainties inherent in the chemical analyses. The choice of the optimal estimation procedure for a particular problem is dependent upon the extent of the petrogenetic understanding of the exact nature of the materials balance involved. Some of the complications entailed in obtaining least-squares estimates are illustrated by the examples of magmatic differentiation and metamorphic reactions.
Keywords:estimation  materials balance  mathematics  mixing equations  geochemistry  petrology
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