Naslov
Similarity measures of random sets based on N- distances and their applications to two- realisation problem

Autori
Gotovac, Vesna

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, ostalo

Skup
The 12th French-Danish Workshop on Spatial Statistics and Image Analysis in Biology

Mjesto i datum
Aalborg, Danska, 23.05.2018. - 25.05.2018

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
kernel test ; non-parametric statistics ; random tessellation ; similarity measure
(kernel test, non-parametric statistics, random tessellation, similarity measure)

Sažetak
General random sets could be of very ragged shapes and therefore it is difficult to describe them by simple models and compare them. In this contribution, we focus on statistical testing of similarity of random sets in a non-parametric way. The talk presents some types of similarity measures of random sets based on just two realisations of each set. Such an approach has been developed for germ-grain type of random sets models. When the grains are hard to distinguish, we compare their inner structure with the aim to capture the repulsion or clustering tendencies of the set components. When the grains are easily distinguishable and ragged shaped, the approach takes into account the general position, number and the shape of the grains in order to obtain similarity between two realisations. All the similarity measures are given by the p-values of tests of equality in distribution based on N-distances. Both approaches are justified by a simulation study and applied to real data.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA