Ottmar Cronie

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We propose three edge correction methods for (marked) spatio-temporal point processes. They are all based on the idea of placing an approximated expected behaviour of the process at hand (simulated realizations) outside the study region which interacts with the data during the estimation. These methods are applied to the Renshaw-Särkkä growth-interaction(More)
We discuss and compare various approaches to the problem of bandwidth selection for kernel estimators of intensity functions of spatial point processes. We also propose a new method based on the Campbell formula applied to the reciprocal intensity function. The new method is fully non-parametric, does not require knowledge of the product densities, and is(More)
This thesis deals with inference problems related to the growth-interaction process (GIprocess). The GI-process is a continuous time spatio-temporal point process with dynamic interacting marks (closed disks), in which the immigration-death process (ID-process) controls the arrivals of new marked points as well as their potential life-times. The data(More)
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