Title
Comparing Interval-Valued Estimations with Point-Valued Estimations.
Abstract
In the last decade, numerous proposals have been made to deal with imprecision in estimation problems. Those approaches, many of which involve dealing with interval-valued outputs, deal with the subtle difference between uncertainty and imprecision. One of the crucial points - which to our knowledge has never been addressed - is "how to compare an interval-valued method with a precise valued method?" The usual way to compare two estimation methods is to use benchmark data with ground truths and to compute a distance between the estimates of each method and the ground truth. However, most of the mathematical available extensions of distances are either biased in favor of a precise approach or in favor of an imprecise approach. This paper proposes a new tool, the weighted variation of the midpoint distance (WVD), that is more suitable to achieve this kind of comparison, dealing with imprecision with a particular semantic. After reviewing existing distances, we introduce the WVD, first from an intuitive perspective, then from a more mathematical point of view. Its very satisfactory properties are highlighted through an experiment.
Year
DOI
Venue
2016
10.1007/978-3-319-40581-0_48
Communications in Computer and Information Science
Keywords
Field
DocType
Interval-valued data,Imprecise probabilities,Engineering
Econometrics,Computer science
Conference
Volume
ISSN
Citations 
611
1865-0929
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Hugo Saulnier100.34
O. Strauss215321.17
Inés Couso385069.91