Maximum Uncertainty Procedures for Interval-Valued Probability Distributions
This work addresses uncertainty quantification in probabilistic modeling, particularly for interval-valued distributions, but appears incremental as it builds on existing concepts without claiming broad breakthroughs.
The paper tackles the problem of quantifying uncertainty and divergence for interval-valued probability distributions by introducing measures with desirable mathematical properties, and it presents a maximum uncertainty inference procedure for marginal interval distributions along with a reconstruction technique from projections.
Measures of uncertainty and divergence are introduced for interval-valued probability distributions and are shown to have desirable mathematical properties. A maximum uncertainty inference procedure for marginal interval distributions is presented. A technique for reconstruction of interval distributions from projections is developed based on this inference procedure