The Numerical Generalized Least-Squares Estimator of an Unknown Constant Mean of Random Field

We constraint on computer the best linear unbiased generalized statistics of random field for the best linear unbiased generalized statistics of an unknown constant mean of random field and derive the numerical generalized least-squares estimator of an unknown constant mean of random field. We derive the third constraint of spatial statistics and show that the classic generalized least-squares estimator of an unknown constant mean of the field is only an asymptotic disjunction of the numerical one. 1. The best linear unbiased generalized statistics Remark. To simplify notation we use Einstein summation convention then n ∑ i=1 ω jρij = ω i jρij = w ′r where