Modern Statistics for Spatial Point Processes
نویسندگان
چکیده
منابع مشابه
Modern statistics for spatial point processes
We summarize and discuss the current state of spatial point process theory and directions for future research, making an analogy with generalized linear models and random effect models, and illustrating the theory with various examples of applications. In particular, we consider Poisson, Gibbs, and Cox process models, diagnostic tools and model checking, Markov chain Monte Carlo algorithms, com...
متن کاملDiscussion of ‘ Modern Statistics for Spatial Point Processes ’
The paper ‘Modern statistics for spatial point processes’ by Jesper Møller and Rasmus P. Waagepetersen is based on a special invited lecture given by the authors at the 21st Nordic Conference on Mathematical Statistics, held at Rebild, Denmark, in June 2006. At the conference, Antti Penttinen and Eva B. Vedel Jensen were invited to discuss the paper. We here present the comments from the two in...
متن کاملModern statistics for spatial point processes ∗ June 21 , 2006
We summarize and discuss the current state of spatial point process theory and directions for future research, making an analogy with generalized linear models and random effect models, and illustrating the theory with various examples of applications. In particular, we consider Poisson, Gibbs, and Cox process models, diagnostic tools and model checking, Markov chain Monte Carlo algorithms, com...
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This paper introduces a new approach to estimate the variance of statistics that are computed from an inhomogeneous spatial point process. The proposed approach is based on the assumption that the observed point process can be thinned to be a second-order stationary point process, where the thinning probability depends only on the first-order intensity function of the (unthinned) original proce...
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We study the general problem of estimating a ‘hidden’ point process X given the realisation of an ‘observed’ point process Y (possibly defined in different spaces) with known joint distribution. We characterise the posterior distribution of X under marginal Poisson and Gauss-Poisson prior and when the transformation from X to Y includes thinning, displacement and augmentation with extra points....
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ژورنال
عنوان ژورنال: Scandinavian Journal of Statistics
سال: 2007
ISSN: 0303-6898,1467-9469
DOI: 10.1111/j.1467-9469.2007.00569.x