Contour and Excursion Uncertainty Estimation in Spatial Markov Models


  • Prof. Finn Lindgren – Department of Mathematical Sciences – University of Bath – England
  • FCUL – Bloco C6 Piso 4 – Sala 6.4.30 – Campo Grande – 14:30h
  • Terça-feira, 18 de Junho de 2013
  • Referência Projeto: PEst-OE/MAT/UI0006/2011

Despite the ubiquitous use of contour plots for visualising estimated spatial fields, the uncertainty associated with such curves has been given a surprisingly small amount of attention. We’ll investigate an approach that connects with the dual problem of estimating the
uncertainty of excursion sets, leading to a more stringent formulation of the problem. For practical use in geostatistics and medical imaging, computational
methods are constructed, that in particular can be applied to Gaussian Markov random fields, and used in combination with integrated nested Laplace approximations for efficient Bayesian inference.