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For a regionalized variable Z(x)Z(x)Z(x), at a lag distance hhh, the empirical semi-variogram γ(h)\gamma(h)γ(h) is given by
E[Z(x)−Z(x+h)]2E[Z(x) - Z(x + h)]^2E[Z(x)−Z(x+h)]2
12E[Z(x)−Z(x+h)]2\frac{1}{2} E[Z(x) - Z(x + h)]^221E[Z(x)−Z(x+h)]2
12E[(Z(x)−E(Z(x))×{Z(x+h)−E(Z(x+h))}]\frac{1}{2} E[(Z(x) - E(Z(x)) \times \{Z(x + h) - E(Z(x + h))\}]21E[(Z(x)−E(Z(x))×{Z(x+h)−E(Z(x+h))}]
E[(Z(x)−E(Z(x))×{Z(x+h)−E(Z(x+h))}]E[(Z(x) - E(Z(x)) \times \{Z(x + h) - E(Z(x + h))\}]E[(Z(x)−E(Z(x))×{Z(x+h)−E(Z(x+h))}]
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