Statistical Methods For: Mineral Engineers

Gy’s Formula for Fundamental Sampling Error:

In the world of mineral engineering, decisions have billion-dollar consequences. A mill that operates at 85% recovery instead of 90% can render a deposit uneconomical. A misinterpreted assay grid can lead to the development of a barren hill. Unlike chemical engineering (which deals with pure reactants) or mechanical engineering (which deals with deterministic tolerances), mineral engineering must contend with heterogeneity . Statistical Methods For Mineral Engineers

If $X$ is the vector of measured variables and $V$ is the variance-covariance matrix of measurements, we find the adjusted values $\hat{X}$ that minimize: Gy’s Formula for Fundamental Sampling Error: In the

$$ (X - \hat{X})^T V^{-1} (X - \hat{X}) $$ Statistical Methods For Mineral Engineers

$$ \sigma^2_{FSE} = \frac{1}{M_S} \left( \frac{f g \beta d^3}{c} \right) $$