Cascos, Ignacio; Molchanov, Ilya (2018). Band Depths Based on Multiple Time Instances. In: Gil, Eduardo; Gil, Eva; Gil, Juan; Gil, María Ángeles (eds.) The Mathematics of the Uncertain. Studies in Systems, Decision and Control: Vol. 142 (pp. 67-78). Cham: Springer 10.1007/978-3-319-73848-2_6
Full text not available from this repository. (Request a copy)Bands of vector-valued functions f:T↦Rd are defined by considering convex hulls generated by their values concatenated at m different values of the argument. The obtained m-bands are families of functions, ranging from the conventional band in case the time points are individually considered (for m=1 ) to the convex hull in the functional space if the number m of simultaneously considered time points becomes large enough to fill the whole time domain. These bands give rise to a depth concept that is new both for real-valued and vector-valued functions.
Item Type: |
Book Section (Book Chapter) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science |
UniBE Contributor: |
Molchanov, Ilya |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
2198-4182 |
ISBN: |
978-3-319-73847-5 |
Series: |
Studies in Systems, Decision and Control |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Ilya Molchanov |
Date Deposited: |
24 May 2018 10:24 |
Last Modified: |
05 Dec 2022 15:14 |
Publisher DOI: |
10.1007/978-3-319-73848-2_6 |
URI: |
https://boris.unibe.ch/id/eprint/116527 |
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