About: Modelling and statistical inference for spatial Cox point processes     Goto   Sponge   Distinct   Permalink

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  • Modelling and statistics of spatial point processes will be investigated. In particular statistical inference for a new class of point processes - Lévy based Cox processes (LCP), will be developed and further studied. The developed methods will be applied to the analysis of real data. Since it is expected that good estimators of second order point process characteristics will be important for good performance of the developed estimation methods in parametric LCP models, these will be studied in detail. Moreover issues connected with inhomogeneities in LCP will be investigated - especially how to model different types of inhomogeneities and also methods how to distinguish and test these types of inhomogeneities in the observed point patterns. (en)
  • Bude zkoumáno modelování a statistika prostorových bodových procesů. Konkrétně, budou vyvinuty a dále studovány statistické postupy pro analýzu nové třídy bodových procesů - takzvané Lévy based Cox processes (LCP). Vyvinuté metody budou použity k analýzereálných dat. Poněvadž lze očekávat, že pro dobrou efektivitu vyvinutých metod odhadu v parametrických modelech LCP budou důležité dobré odhady charakteristik druhého řádu pro bodové procesy, budou tyto studovány podrobněji. Dále budou zkoumány otázky spojené s nehomogenitami v LCP - zvláště jak modelovat různé druhy nehomogenit a také metody jak rozlišit a testovat tyto druhy nehomogenit v pozorovaných bodových vzorech. (cs)
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  • Modelling and statistical inference for spatial Cox point processes (en)
  • Modelování a statistika prostorových Coxových bodových procesů (cs)
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  • Cox point processes; second order characteristics; inhomogeneous point processes (en)
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