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Selected statistical problems for discrete states processes
 Kahudová, Eliška ; Hlubinka, Daniel (advisor) ; Lachout, Petr (referee)
In this thesis we are concerned with the description of Poisson processes. Firstly, we define the basic terminology and state the fundamental theorems, which we then supplement by explanatory remarks. We present methods for estimating the parameters of a homogeneous Poisson process, statistical tests for comparing two homogeneous Poisson processes, and derive a test for tracking the trend over time for an non-homogeneous Poisson process. Finally, the obtained estimates and test statistics are applied to real data. 1
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