Exceedence Probabilities of Local Maxima of Non-isotropic Random Elds, with an Application to Shape Analysis via Surface Displacements

@inproceedings{Worsley1999ExceedencePO,
  title={Exceedence Probabilities of Local Maxima of Non-isotropic Random Elds, with an Application to Shape Analysis via Surface Displacements},
  author={Keith J. Worsley},
  year={1999}
}
Data used for the analysis of shape change has been modeled as non-isotropic Gaussian random elds, and local changes in shape are detected by local maxima of a random eld of test statistics derived from this data. In this paper we use the Sampson & Guttorp (1992) model for non-isotropy in which their exists an unknown mapping of the support of the data to a space in which the random elds are isotropic. We derive a simple estimator of this mapping, and use it to derive estmators of parameters… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 13 references

Testing for signals with unknown location and scale in a 2 random eld, with an application to fMRI

  • K J Worsley
  • Advances in Applied Probability
  • 1998
Highly Influential
2 Excerpts

The geometry of the Hotelling's T 2 random eld with applications to the detection of shape changes

  • J Cao, K J Worsley
  • Annals of Statistics
  • 1997
Highly Influential
2 Excerpts

On excusion sets, tube formulae, and maxima of random elds Statistical parametric maps in functional imaging: A general approach

  • R J Adler, Preprint, +5 authors R S J Frackowiak
  • Human Brain Mapping
  • 1995

Similar Papers

Loading similar papers…