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Joint estimation of spatial deformation and blurring in environmental data

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Abstract

Joint estimation of deformation and blurring parameters from spatial observations is considered. The generalized random field approach to the problem introduced in this paper provides a suitable framework for a technical treatment of these effects in relation to singularity properties of the fields. A mixture of Kullback-Leibler divergence loss functions is formulated in a Bayesian context. Simulations are developed to illustrate the performance of the approach proposed.

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Acknowledgments.

We are grateful to the referees for their very constructive comments and suggestions, which lead to improving the paper in several respects. This work has been partially supported by projects BFM2000-1465 and BFM2002-01836 of the DGI, Spain.

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Authors and Affiliations

  1. Instituto de Estadística, Universidad de Los Andes, 5101, Mérida, Venezuela

    A. Goitía

  2. Departamento de Estadística e Investigación Operativa, Universidad de Granada, Campus de Fuente Nueva s/n, 18071, Granada, Spain

    M. D. Ruiz Medina & J. M. Angulo

Authors
  1. A. Goitía
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  2. M. D. Ruiz Medina
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  3. J. M. Angulo
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Corresponding author

Correspondence to J. M. Angulo.

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Goitía, A., Medina, M. & Angulo, J. Joint estimation of spatial deformation and blurring in environmental data. Stoch Environ Res Ris Assess 19, 1–7 (2005). https://doi.org/10.1007/s00477-004-0183-7

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  • DOI: https://doi.org/10.1007/s00477-004-0183-7

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