On the Threshold Method for Marked Spatial Point Processes
نویسندگان
چکیده
منابع مشابه
Spatial Regression for Marked Point Processes
In a wide range of applications, dependence on smoothly-varying covariates leads spatial point count intensities to feature positive correlation for nearby locations. In applications where the points are “marked” with individual attributes, the distributions for points with varying attributes may also differ. We introduce a class of hierarchical spatial regression models for relating marked poi...
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Although introduced in the case of Poisson random measures (cf [2], [3]), the lent particle method applies as well in other situations. We study here the case of marked point processes. In this case the Malliavin calculus (here in the sense of Dirichlet forms) operates on the marks and the point process doesn’t need to be Poisson. The proof of the method is even much simpler than in the case of...
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In many contexts, such as queueing theory, spatial statistics, geostatistics and meteorology, data are observed at irregular spatial positions. One model of this situation is to consider the observation points as generated by a Poisson Process. Under this assumption, we study the limit behavior of the partial sums of the Marked Point Process {(ti, X(ti))}, where X(t) is a stationary random fiel...
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In 1971, Meyer showed how one could use the compensator to rescale a multivariate point process, forming independent Poisson processes with intensity one. Meyer’s result has been generalized to multi-dimensional point processes. Here, we explore generalization of Meyer’s theorem to the case of marked point processes, where the mark space may be quite general. Assuming simplicity and the existen...
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Nonparametric tests for investigating the separability of a spatial-temporal marked point process are described and compared. It is shown that a Cramer-von Mises-type test is very powerful at detecting gradual departures from separability, and that a residual test based on randomly rescaling the process is powerful at detecting nonseparable clustering or inhibition of the marks. An application ...
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ژورنال
عنوان ژورنال: JOURNAL OF THE JAPAN STATISTICAL SOCIETY
سال: 2003
ISSN: 1348-6365,1882-2754
DOI: 10.14490/jjss.33.23