Object structure

Title:

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

Subtitle:

Raport Badawczy = Research Report ; RB/8/2013

Creator:

Gągolewski, Marek. Autor

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2013

Description:

17 pages ; 21 cm ; Bibliography p. 16-17

Subject and Keywords:

Aggregation ; Agregacja ; Dispersion ; Variance ; Variability ; Spread ; Wariancja ; Zmienność ; Zakres

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

Resource Type:

Report

Source:

RB-2013-08

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

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