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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Moment estimation methods for space-time cluster point processes
 Kučera, Petr ; Dvořák, Jiří (advisor) ; Beneš, Viktor (referee)
This paper is concerned with estimation of space-time shot-noise Cox process parametric models. We introduce the two-step estimation method, where in the second step we use composite likelihood or Palm likelihood. For the two-step estimation method based on Palm likelihood we prove consistency and asymptotic normality theorem. Finally we compare composite likelihood with Palm likelihood in simulation studies, where we add for comparison minimum contrast method. Results for minimum contrast method are taken from the literature. 1
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Projections of space-time point processes
 Nguyenová, Adéla ; Dvořák, Jiří (advisor) ; Pawlas, Zbyněk (referee)
The main topic of this bachelor's thesis is the theory of spatio-temporal point processes, focusing primarily on the derivation of the second-order moment characteristics of processes obtained through projection of the spatio-temporal process into its space, respectively its time domain. Emphasis is placed on the pair correlation function. The moment characteristics of the Thomas spatio-temporal point process model are derived. Finally the theory is complemented by simulations of its realizations and realizations of its projections into the space domain, together with estimates of the pair correlation function.
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