Vertical Barrier Models as Unified Distortions
Abstract
Vertical Barrier Models (VBM) are a family of imprecise probability models that generalise a number of well known distortion/neighbourhood models (such as the Pari-Mutuel Model, the Linear-Vacuous Model, and others) while still being relatively simple. Several of their properties were established by Pelessoni, Vicig, and Corsato. In this paper we explore, in a finite framework, further facets of these models: their interpretation as neighbourhood models, the structure of their credal set in terms of maximum number of its extreme points, the result of merging operations with VBMs, conditions for VBMs to be belief functions or possibility measures.
Cite
Text
Miranda et al. "Vertical Barrier Models as Unified Distortions." Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, 2023.Markdown
[Miranda et al. "Vertical Barrier Models as Unified Distortions." Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications, 2023.](https://mlanthology.org/isipta/2023/miranda2023isipta-vertical/)BibTeX
@inproceedings{miranda2023isipta-vertical,
title = {{Vertical Barrier Models as Unified Distortions}},
author = {Miranda, Enrique and Pelessoni, Renato and Vicig, Paolo},
booktitle = {Proceedings of the Thirteenth International Symposium on Imprecise Probability: Theories and Applications},
year = {2023},
pages = {333-343},
volume = {215},
url = {https://mlanthology.org/isipta/2023/miranda2023isipta-vertical/}
}