Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
권호 표지

On Asymptotic Property of Matheron′s Spatial Variogram Estimators

  • Published : 2001.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

A condition in which the covariances of Matheron's variogram estimators are expressed in a simple form is reviewed. An asymptotic property of the covariances of the variogram estimators is examined, and a sufficient condition that guaranties the finiteness of the asymptotic variance of the normalized variogram estimators is provided.

Keywords

References

  1. Journal of the International Association for Mathematical Geology v.16 Testing variogrmas for positive-definitenss Armstrong;M.;Diamond;P.
  2. Journal of the International Association for Mathematical Geology v.17 Fitting variograms modles by weighted least squares Cressie;N.
  3. Statistics for spatial data Cressie;N.
  4. Indepedent and Stationary Sequences of Random Variables Ibragimov;I. A.;Linnk;Y. V.
  5. Sankhya, Series A, Indian Journal of Statistics v.58 On Inconsistency of Estimators Based on Spatial Data Under Infill Aaymptotics Lahiri;S. N.
  6. Journal of Statistical Planning and Infernce On asymptotic distribution and asymptotic effciency of least squares estimators of spatial variogrma parameters Lahiri;S.;Lee;Y.;Cressie;N.
  7. Memoites du Bureau de Recherches Geologiques et MinieresEditions Technip) no.14 Traite de Geisttistique Appliquee, Tomb, I Matherson
  8. Journal of the American Statistical Association v.89 Nonparametric estimation of the moments of a general statistic computed from spatial data Sherman;M.;Carlstein;E.
  9. Computers and Geo-sciences v.21 On the weighted least-squares mehod for fitting a semivariogram model Zhang;X.;van Eijkeren;J.;Heemink;A.