A new definition of random sets
Probability
2017-12-29 v1
Abstract
A new definition of random sets is proposed. It is based on the distance in measurable space and uses negative definite kernels for continuation from initial space to that of random sets. This approach has no connection to Hausdorff distance between sets. Key words: random sets; measurable space; negative definite kernels; Hilbert space isometries.
Cite
@article{arxiv.1712.09452,
title = {A new definition of random sets},
author = {Vesna Gotovac and Kateřina Helisova and Lev B. Klebanov and Irina V. Volchenkova},
journal= {arXiv preprint arXiv:1712.09452},
year = {2017}
}