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AI-GEOSTATS: Transitive geostatistics and area estimation

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  • Ruben Roa
    Hi: Transitive geostatistics differ essentially from the more familiar intrinsic geostatistics by being design-based instead of model-based. This means that
    Message 1 of 1 , Apr 29, 2003
      Hi:
      Transitive geostatistics differ essentially from the more familiar
      intrinsic geostatistics by being design-based instead of model-based. This
      means that the estimator of the mean of the regionalized variable (for
      example) is unbiased with respect to all possible samples that could have
      been drawn rather than over realizations of a model for a random variable.
      Transitive goestatistics then necessitates random sampling while intrinsic
      geostatics necessitates nothing of the sort, at least for inferential
      purposes.
      I am interested in estimation(1) of the area covered by a regionalized
      variable, rather in the mean value or the total. Intrinsic geostatistics
      does not allow a 'border effect': the field over which the stochastic
      process runs has to be known in advance, so the area cannot be estimated as
      a product of intrinsic geostatistical estimation. Transitive geostatistics
      does allow for a border effect and then the area can be estimated, in
      principle. I have read that the trick is to use the indicator variable
      transformation (all values higher than zero must be set equal to 1) and
      then estimate the total with transitive geostatistics.
      Before i set out to perform such an exploit i would like to know if any of
      you knowledgeable people agree on what i wrote above or am i too far off
      the truth, and if any of you have applied these techniques or know about
      papers in your area of application where this has been performed.
      Thanks
      And happy birthday AI-GEOSTATS!
      Rubén

      (1) by estimation i mean both an estimator of the expected value and the
      variance of the estimator of the expected value.
      http://webmail.udec.cl

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