How to Detect Possible Additional Outliers
Case of Interval Uncertainty
- verfasst von
- Hani Dbouk, Steffen Schön, Ingo Neumann, Vladik Kreinovichy
- Abstract
In many practical situations, measurements are characterized by interval uncertainty - namely, based on each measurement result, the only information that we have about the actual value of the measured quantity is that this value belongs to some interval. If several such intervals - corresponding to measuring the same quantity - have an empty intersection, this means that at least one of the corresponding measurement results is an outlier, caused by a malfunction of the measuring instrument. From the purely mathematical viewpoint, if the intersection is non-empty, there is no reason to be suspicious. However, from the practical viewpoint, if the intersection is too narrow - i.e., almost empty - then we should also be suspicious, and mark this as an possible additional outlier case. In this paper, we describe a natural way to formalize this idea, and an algorithm for detecting such additional possible outliers.
- Organisationseinheit(en)
-
Institut für Erdmessung
- Externe Organisation(en)
-
University of Texas at El Paso
- Typ
- Artikel
- Journal
- Reliable Computing
- Band
- 28
- Seiten
- 100-106
- Anzahl der Seiten
- 7
- ISSN
- 1385-3139
- Publikationsdatum
- 06.2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Software, Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://www.cs.utep.edu/vladik/2020/tr20-67b.pdf (Zugang:
Offen)
