Using Vine Copulas for Estimating Highest-Density Regions in Multivariate Data
摘要
Highest-Density Regions (HDRs) allow uncertainty estimation of predictions, estimates, or distributions of interest by identifying the samples with the highest density while covering the smallest possible volume. Therefore, they ensure the greatest efficiency. This paper extends the framework proposed by [3] to estimate HDRs using neighborhood measures. We generalize their approach to a multivariate setting (with the dimension \(d \ge 3\) ), using both nonparametric distance-based measures and parametric measures making use of vine copulas.