Mathematical Geology

, Volume 33, Issue 6, pp 679–691 | Cite as

Fixed-Domain Asymptotics for Variograms Using Subsampling

  • Montserrat Fuentes


The variogram is a measure of the local variation in space of a random field. For large geostatistical data sets, the traditional empirical variogram may be hard to compute. This article presents, for processes with a fixed domain, the effect of using a subsample of the available data on the performance of the empirical variogram. The motivation of this work, apart from the saving on computation, is to study how dense the observations need to be in the bounded sampling region to obtain most of the information we would get from continuous observations in the fixed domain.

empirical variogram fixed domain geostatistics infill asymptotics spatial statistics subsampling 


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Copyright information

© International Association for Mathematical Geology 2001

Authors and Affiliations

  • Montserrat Fuentes
    • 1
  1. 1.Department of StatisticsNorth Carolina State UniversityRaleigh

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