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- W3147751505 abstract "This paper introduces skew-elliptical cluster processes. In contrast to the simple Gaussian isotropic structure of the distribution of the “children” events of a Thomas process, we propose an anisotropic structure by allowing the choice of a flexible covariance matrix and incorporating skewness or ellipticity parameters into the structure. Since the theoretical pair correlation functions of these processes are complex and analytically incomplete, and therefore the estimation of the parameters is computationally intensive, we propose reasonable approximations of the theoretical pair correlation functions of these cluster processes, which allow for a simpler parameter estimation. We present the estimation of their parameters using the minimum contrast method. For a data application, we use a fraction of the full redwood dataset. Our analysis shows that an elliptical cluster process can describe this point pattern better than a common Thomas process, since it is able to statistically model the non-circular shapes of the clusters in the data. The skew-elliptical cluster processes can be very meaningful for analyzing complex datasets in the field of spatial point processes since they provide more flexibility to detect interesting characteristics of the data." @default.
- W3147751505 created "2021-04-13" @default.
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- W3147751505 date "2020-11-18" @default.
- W3147751505 modified "2023-09-26" @default.
- W3147751505 title "Skew-Elliptical Cluster Processes" @default.
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- W3147751505 doi "https://doi.org/10.1007/978-3-030-62900-7_18" @default.
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