Consistency of the Mean and the Principal Components of Spatially Distributed Functional Data

  • Siegfried Hörmann
  • Piotr Kokoszka
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


This paper develops a framework for the estimation of the functionalmean and the functional principal componentswhen the functions form a random field.We establish conditions for the sample average (in space) to be a consistent estimator of the population mean function, and for the usual empirical covariance operator to be a consistent estimator of the population covariance operator.


Gene Expression Pattern Recognition Stochastic Process Probability Theory Computer Image 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Universitè Libre de BruxellesBrusselsBelgium
  2. 2.Utah State UniversityLoganUSA

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