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Smoothing and interpolation by kriging and with splines

  • G. S. Watson
Article

Abstract

Let scalar measurements at distinct points x1, ⋯, xnbe y1, ⋯, yn.We may look for a smooth function f(x)that goes through or near the points (xi, yi).Kriging assumes f(x)is a random function with known (possibly estimable) covariance function (in the simplest case). Splines assume a definition of the smoothness of a nonrandom function f(x).An elementary explanation is given of the fact that spline approximations are special cases of the solution of a kriging problem.

Key words

kriging splines interpolation smoothing prediction Green's function 

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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • G. S. Watson
    • 1
  1. 1.Department of StatisticsPrinceton UniversityPrincetonUSA

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