English

Two-step method for assessing dissimilarity of random sets

Methodology 2021-05-14 v1

Abstract

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 of the random sets, namely on the curvature of their boundaries together with the ratios of their perimeters and areas. Theoretical background is introduced and then, the method is described, justified by a simulation study and applied to real data of two different types of tissue - mammary cancer and mastopathy.

Keywords

Cite

@article{arxiv.2105.05952,
  title  = {Two-step method for assessing dissimilarity of random sets},
  author = {Vesna Gotovac Đogaš and Kateřina Helisová and Bogdan Radović and Jakub Staněk and Markéta Zikmundová and Kateřina Brejchová},
  journal= {arXiv preprint arXiv:2105.05952},
  year   = {2021}
}

Comments

17 pages, 9 figures

R2 v1 2026-06-24T02:03:25.908Z