Dispersion functions : aggregation operators that measure variability, spread, or scatter of numeric sequences

Gągolewski, Marek

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Title: Dispersion functions : aggregation operators that measure variability, spread, or scatter of numeric sequences

Abstract:

Classsically, in the theory of aggregation we consider the broadly-conceived averaging functions and logical connectives. However, one often needs a very different kind of a proper synthesis of multidimensional numeric data into a single number. In this paper we propose an axiomatization and investigate most fundamental properties of the dispersion functions, which may be used to measure data variability, spread, or scatter. This class includes e.g. the sample variance, standard ability, spread, or scatter. This class includes e.g. the sample variance, standars veriation, range, interquartile range (IQR), median absolute deviation (MAD) etc., that is functions widely used in exploratory data analysis as descriptive statistics.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Raport

Resource Identifier:

oai:rcin.org.pl:106379

Source:

RB-2013-08

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

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Otwarty

Subject and keywords:

Aggregation Agregacja Dispersion Variance Variability Spread Wariancja Zmienność Zakres

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Last modified:

Oct 8, 2020

In our library since:

Jan 21, 2020

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All available object's versions:

https://www.rcin.org.pl/publication/114557

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Raporty Badawcze

Edition name	Date
RB-2013-08 : Gągolewski Marek: Dispersion functions : aggregation operators that measure variability, spread, or scatter of numeric sequences	Oct 8, 2020