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- Title
Non-parametric Bayesian Estimation of a Spatial Poisson Intensity.
- Authors
Heikkinen, Juha; Arjas, Elja
- Abstract
ABSTRACT. A method introduced by Arias & Gasbarra (1994) and later modified by Arias & Heikkinen (1997) for the non-parametric Bayesian estimation of an intensity on the real line is generalized to cover spatial processes. The method is based on a model approximation where the approximating intensities have the structure of a piecewise constant function. Random step functions on the plane are generated using Voronoi tessellations of random point patterns. Smoothing between nearby intensity values is applied by means of a Markov random field prior in the spirit of Bayesian image analysis. The performance of the method is illustrated in examples with both real and simulated data.
- Subjects
ESTIMATION theory; POISSON processes; BAYES' estimation
- Publication
Scandinavian Journal of Statistics, 1998, Vol 25, Issue 3, p435
- ISSN
0303-6898
- Publication type
Article
- DOI
10.1111/1467-9469.00114