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A Non‐Gaussian Spatial Process Model for Opacity of Flocculated Paper

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  • Patrick E. Brown
  • Peter J. Diggle
  • Robin Henderson

Abstract

ABSTRACT. Product quality in the paper‐making industry can be assessed by opacity of a linear trace through continuous production sheets, summarized in spectral form. We adopt a class of non‐Gaussian stochastic models for continuous spatial variation to describe data of this type. The model has flexible covariance structure, physically interpretable parameters and allows several scales of variation for the underlying process. We derive the spectral properties of the model, and develop methods of parameter estimation based on maximum likelihood in the frequency domain. The methods are illustrated using sample data from a UK mill.

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  • Patrick E. Brown & Peter J. Diggle & Robin Henderson, 2003. "A Non‐Gaussian Spatial Process Model for Opacity of Flocculated Paper," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(2), pages 355-368, June.
    • Handle: RePEc:bla:scjsta:v:30:y:2003:i:2:p:355-368
    DOI: 10.1111/1467-9469.00335
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