AXIOMATIC DETERMINATION OF A CLASS OF ORDINAL VARIATION MEASURES

Studies in Logic, Grammar and Rhetoric

Kęska Adam¹ 

[1] Institute of Political Studies, Polish Academy of Sciences, Warsaw, Poland;

关键词: descriptive statistics;    ordinal variables;    ordinal variation;    dispersion measures;    axiomatic method;   

DOI  :  10.1515/slgr-2017-0018

来源: DOAJ

【 摘 要 】

The article deals with the problem of the dispersion of ordinal variables. At first, it specifies the very concept of dispersion for this type of scale. Then some of the most known measures that fit to the concept of ordinal variation are recalled. They are constructed with two different types of statistical models: using loss functions and using distance functions. Finally, a new approach, which is the use of an axiomatic method for the construction of a dispersion measure, is proposed. Some relations and comparisons between different measures and between different approaches are shown.

【 授权许可】

Unknown