A nonparametric view of generalized covariances for kriging

@article{Cressie1987ANV,
  title={A nonparametric view of generalized covariances for kriging},
  author={Noel A. C. Cressie},
  journal={Mathematical Geology},
  year={1987},
  volume={19},
  pages={425-449}
}
Fitting trend and error covariance structure iteratively leads to bias in the estimated error variogram. Use of generalized increments overcomes this bias. Certain generalized increments yield difference equations in the variogram which permit graphical checking of the model. These equations extend to the case where errors are intrinsic random functions of order k, k=1, 2, ..., and an unbiased nonparametric graphical approach for investigating the generalized covariance function is developed… CONTINUE READING