4 papers
Central Limit Theorems for Functionals of Persistence Diagrams in Germ-Grain Random Set Models with Applications to Goodness-of-Fit Testing
Vesna Gotovac Đogaš, Marcela Mandarić
This paper establishes a central limit theorem (CLT) for functionals of -bounded persistence diagrams arising from germ-grain random set models. Building on stabilisation method…
Classification of realisations of random sets
Bogdan Radović, Vesna Gotovac Đogaš, Kateřina Helisová
In this paper, the classification task for a family of sets representing the realisation of some random set models is solved. Both unsupervised and supervised classification method…
On some topological properties of normed Boolean algebras
Vesna Gotovac Đogaš
This paper concerns the compactness and separability properties of the normed Boolean algebras (N.B.A.) with respect to topology generated by a distance equal to the square root of…
Two-step method for assessing dissimilarity of random sets
Vesna Gotovac Đogaš, Kateřina Helisová, Bogdan Radović +3
The paper concerns a new statistical method for assessing dissimilarity of two random sets based on one realisation of each of them. The method focuses on shapes of the components…