Testing the descriptive validity of possibility theory in human judgments of uncertainty
Artificial Intelligence - Special issue: Fuzzy set and possibility theory-based methods in artificial intelligence
International Journal of Approximate Reasoning
Reliability bounds through random sets: Non-parametric methods and geotechnical applications
Computers and Structures
A survey of the theory of coherent lower previsions
International Journal of Approximate Reasoning
Unifying practical uncertainty representations -- I: Generalized p-boxes
International Journal of Approximate Reasoning
Extending stochastic ordering to belief functions on the real line
Information Sciences: an International Journal
Possibility theory and statistical reasoning
Computational Statistics & Data Analysis
Practical representations of incomplete probabilistic knowledge
Computational Statistics & Data Analysis
Utilizing belief functions for the estimation of future climate change
International Journal of Approximate Reasoning
Artificial Intelligence in Medicine
IEEE Transactions on Fuzzy Systems
Relaxations of linear programming problems with first order stochastic dominance constraints
Operations Research Letters
Editorial: Special issue on imprecision in statistical data analysis
Computational Statistics & Data Analysis
| Hi-index | 0.03 |
Stochastic dominance, which is based on the comparison of distribution functions, is one of the most popular preference measures. However, its use is limited to the case where the goal is to compare pairs of distribution functions, whereas in many cases it is interesting to compare sets of distribution functions: this may be the case for instance when the available information does not allow to fully elicitate the probability distributions of the random variables. To deal with these situations, a number of generalisations of the notion of stochastic dominance are proposed; their connection with an equivalent p-box representation of the sets of distribution functions is studied; a number of particular cases, such as sets of distributions associated to possibility measures, are investigated; and an application to the comparison of the Lorenz curves of countries within the same region is presented.