|
1
|
|
|
2
|
Omladič M, Škulj D. Constructing copulas from shock models with imprecise distributions. Int J Approx Reason 2020. [DOI: 10.1016/j.ijar.2019.11.009] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
|
3
|
Montes I, Miranda E, Vicig P. Outer approximating coherent lower probabilities with belief functions. Int J Approx Reason 2019. [DOI: 10.1016/j.ijar.2019.03.008] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
|
|
4
|
Montes I, Miranda E. Extreme Points of the Core of Possibility Measures and Maxitive p-Boxes. INT J UNCERTAIN FUZZ 2018. [DOI: 10.1142/s0218488518500459] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Under an epistemic interpretation, an upper probability can be regarded as equivalent to the set of probability measures it dominates, sometimes referred to as its core. In this paper, we study the properties of the number of extreme points of the core of a possibility measure, and investigate in detail those associated with (uni- and bi-)variate p-boxes, that model the imprecise information about a cumulative distribution function.
Collapse
Affiliation(s)
- Ignacio Montes
- Department of Statistics and O.R., University of Oviedo, C/Federico García Lorca, 18 Oviedo, 33007, Spain
| | - Enrique Miranda
- Department of Statistics and O.R., University of Oviedo, C/Federico García Lorca, 18 Oviedo, 33007, Spain
| |
Collapse
|