PL EN


2008 | 55 | 2 | 78-88
Article title

PARTIAL VARIANCE OF AN APPROXIMATING POINT - A TOOL TO RESEARCH DECOMPOSITION OF DATA SET

Authors
Title variants
Languages of publication
PL
Abstracts
EN
Broadening classic methods of approximation by implicit functions enables approximation of a set by disconnected figures, e.g. approximation of two or more points simultaneously. As a result it's possible to determine in exact way the 'centers of mass concentration' of an analyzed set - that is to indicate the areas of the set of big congestion of elements. What might be problematic is to determine the proper amount of points to approximate a certain set. How to verify the thesis that two point approximation is more 'proper' than one point approximation? Or to put it in a more general way: how to verify the thesis that it's better to approximate a set by the k-points? In the article the concept of a partial variance is introduced, as a kind of generalization of set variance. The partial variance proves to be a useful tool which enables among others, answering the above questions. It's bound to the method of approximation by disconnected figures, being its valuable completion.
Year
Volume
55
Issue
2
Pages
78-88
Physical description
Document type
ARTICLE
Contributors
author
  • A. Maciuk, Akademia Ekonomiczna we Wroclawiu, ul. Komandorska 118/120, 53-345 Wroclaw, Poland
References
Document Type
Publication order reference
Identifiers
CEJSH db identifier
08PLAAAA04899293
YADDA identifier
bwmeta1.element.8d8a1d2c-8796-398c-b03e-f89f291caded
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