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Likelihood analysis of spatial inhomogeneity for marked point patterns
Authors:Yosihiko Ogata  Koichi Katsura
Affiliation:(1) The Institute of Statistical Mathematics, 4-6-7, Minami-Azabu, Minato-ku, Tokyo, Japan
Abstract:
An objective method is developed for estimations of both spatial intensity of the point locations and spatial variation of a characteristic parameter of the distributions for the attached marks. Its utility is demonstrated by means of analyses of seismological and ecological data sets.
Keywords:Marked point patterns  intensity  distributions of marks  B-splines  smoothing  penalized likelihood  objective Bayesian method  magnitude frequency  b-value
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