Band Depths Based on Multiple Time Instances

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

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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