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:

24 May 2018 10:24

Publisher DOI:

10.1007/978-3-319-73848-2_6

URI:

https://boris.unibe.ch/id/eprint/116527

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