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The cylindrical K-function and Poisson line cluster point processes | | Jesper Møller
; Farzaneh Safavimanesh
; Jakob G. Rasmussen
; | | Date: |
25 Mar 2015 | | Abstract: | Analyzing point patterns with linear structures has recently been of interest
in e.g. neuroscience and geography. To detect anisotropy in such cases, we
introduce a functional summary statistic called the cylindrical K-function. A
class of models for anisotropic spatial point processes, called Poisson line
cluster point processes, is also introduced. Parameter estimation based on
moment methods or Bayesian inference for this model is discussed when the
underlying Poisson line process and the cluster memberships are treated as
hidden processes. To illustrate the methodologies, we analyze two and
three-dimensional point pattern data sets. | | Source: | arXiv, 1503.7423 | | Services: | Forum | Review | PDF | Favorites | |
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