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Parametric estimation of the intensity function of point processes
Rybín, Jan ; Dvořák, Jiří (advisor) ; Prokešová, Michaela (referee)
The thesis introduces spatial point processes. Particularly, it focuses on Poisson process, Thomas process and intensity function, which describes those two processes. The main focus is put on processes that depend on an unknown parameter. It is shown that in order to find an estimate of the unknown parameter even for general processes, it is reasonable to use maximum likelihood function derived from Poisson processes. All new terminology is explained in detail with the help of simple examples. The new terminology is then used in simulation studies that compare qualities of estimates in different statistical models. 1

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