Tytuł:

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

Inny tytuł:

Raport Badawczy = Research Report ; RB/8/2013

Twórca:

Gągolewski, Marek : Autor

Wydawca:

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

Miejsce wydania:

Warszawa

Data wydania/powstania:

2013

Opis:

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

Typ obiektu:

Book/Chapter

Temat i słowa kluczowe:

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

Abstrakt:

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.

Czasopismo/Seria/cykl:

Raport Badawczy = Research Report

Typ zasobu:

Text

Szczegółowy typ zasobu:

Report

Źródło:

RB-2013-08

Język:

eng

Język streszczenia:

eng

Prawa:

Creative Commons Attribution BY 4.0 license

Zasady wykorzystania:

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: ; -

Digitalizacja:

Systems Research Institute of the Polish Academy of Sciences

Lokalizacja oryginału:

Library of Systems Research Institute PAS

Dofinansowane ze środków:

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.

Dostęp:

Open