Kriging, cokriging, radial basis functions and the role of positive definiteness

@inproceedings{Myers1992KrigingCR,
  title={Kriging, cokriging, radial basis functions and the role of positive definiteness},
  author={D. E. Myers},
  year={1992}
}
Abstract There are at least three developments for interpolators that lead to the same functional form for the interpolator; the thin plate spline, radial basis functions and the regression method known as kriging. The key to the interrelationship lies in the positive definiteness of the kernel function. Micchelli has known that a weak form of positive definiteness is sufficient to ensure a unique solution to the system of equations determining the coefficients in the interpolator. Both the… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 27 CITATIONS

Space-time variograms and a functional form for total air pollution measurements

  • Computational Statistics & Data Analysis
  • 2002
VIEW 6 EXCERPTS
CITES METHODS

Parametric variogram matrices incorporating both bounded and unbounded functions

  • Stochastic Environmental Research and Risk Assessment
  • 2019
VIEW 1 EXCERPT
CITES BACKGROUND

Sampling and (sparse) stochastic processes: A tale of splines and innovation

  • 2015 International Conference on Sampling Theory and Applications (SampTA)
  • 2015
VIEW 1 EXCERPT
CITES METHODS