Hill, Bryony, Kendall, W. S. and Thönnes, Elke (2011) A gradient field approach to modelling fibre-generated spatial point processes. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2011 (No.18).

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Abstract

A new non-parametric model is introduced for point processes that are clustered along curves
or fibres, with additional background noise. The model identifies random curves as integral lines of a
gradient field. In principle this enables the inclusion of all possible non-self-intersecting curves with
one underlying smoothness constraint. Markov chain Monte Carlo is combined with Empirical Bayes
to provide a practical estimation procedure for properties of the underlying fibre distribution, based
on the observed point pattern data. Comparisons are made with other techniques in the literature.
Illustrations of the methodology include applications to fingerprints, earthquakes and galaxies.

Item Type:	Working or Discussion Paper (Working Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Point processes -- Mathematical models
Series Name:	Working papers
Publisher:	University of Warwick. Centre for Research in Statistical Methodology
Place of Publication:	Coventry
Official Date:	2011
Dates:	Date Event 2011 Published
Date of first compliant deposit:	1 August 2016
Volume:	Vol.2011
Number:	No.18
Institution:	University of Warwick
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access

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