| Popis: |
In this work we introduce some basic concepts from the theory of spatial point pro- cesses and two methods of estimation of the parametres for Thomas process. Firstly the method of minimum contrast, that is used for situations when we do not know the position of parent points and secondly our proposed method using information about the parent points location. Using simulations in program R, we find out that our method estima- ted mentioned parameters better considering the relative bias and relative mean squared error. Subsequently, we estimate the parameters of the real data using both methods. Fi- nally we test by Global Envelope Test, whether our data match Thomas process with para- meters estimated from data with mentioned methods. For the combinations of parameters obtained by discussed methods we do not reject the hypothesis. 1 |
