Measuring Departure from Gaussian Assumptions in Spatial Processes

  • D. Posa
  • M. Rossi
Conference paper


In this paper entropy is presented as an alternative measure to characterize the Divariate distribution of a stationary spatial process. This non-parametric estimator attempts to quantify the concept of spatial ordering, and it provides a measure of how gaussian the experimental bivariate distribution is.

The concept of entropy is explained and the classical definition presented. In particular, the reader is reminded that, for a known mean and covariance, the bivariate gaussian distribution maximizes entropy. A “relative entropy” estimator is introduced in order to measure departure of an experimental bivariate distribution from the bivariate gaussian.


Maximum Entropy Spatial Process Entropy Function Bivariate Distribution Bivariate Gaussian Distribution 
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  1. [l]
    Gull, S.F. and Skilling, J. (1985) The entropy of an image, In Maximum Entropy and Bayesian Methods in Inverse Problems, (Ed. C.R. Smith and W.T. Gandy Jr.), Reidel, Dordrecht, 287–301.CrossRefGoogle Scholar
  2. [2]
    Hyvarinen, L.P.(1970) Information Theory for Systems Engineers, Springer-Verlag.Google Scholar
  3. [3]
    Jaynes, E.T.(1983) Papers on Probability, Statistics and Statistical Physics (Ed. R.D. Rosenkrantz).Google Scholar
  4. [4]
    Jones, D.S.(1979) Elementary Information Theory, Clarendon Press.Google Scholar
  5. [5]
    Journel, A.G. and Huijbregts, G.(1981) Mining Geostatistics, Academic Press.Google Scholar
  6. [6]
    Justice, J.H.(1984) Proceedings of the fourth maximum entropy and bayesian methods congress, Univ. of Calgary (Ed. Justice, J.H.).Google Scholar
  7. [7]
    Rao, C.R.(1973) Linear Statistical Inference and Its Applications, Wiley.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • D. Posa
    • 1
    • 2
  • M. Rossi
    • 1
    • 2
  1. 1.Dipartimento di Matematica, Campus UniversitarioIRMA-CNRBariItaly
  2. 2.Fluor Daniel, Inc.Redwood CityUSA

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