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<p align="LEFT">The prediction of a nonlinear functional of a random field is studied. The covariance-matching constrained kriging is considered. It is proved that the optimization problem induced by it always has a solution. The proof is constructive and it provides an algorithm to find the optimal solution. Using simulation, this algorithm is compared with the method given in Aldworth and Cressie (2003).</p>doi:10.17713/ajs.v34i2.410 fatcat:wy6etxc4pnayfoogk3b27bkboe