Object structure

Title:

Estimation of: the relations of equivalence, tolerance and preference on the basis of pairwise comparisons in binary and multivalent Form with Random errors

Subtitle:

Raport Badawczy = Research Report ; RB/16/2012

Creator:

Klukowski, Leszek Krzysztof. Autor

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2012

Description:

168 pages ; 21 cm ; Bibliography p. 16-18

Subject and Keywords:

Relations estimation ; Pairwise comparisons with random errors ; Nearest adjoining order

Abstract:

The paper presents the estimators of three relations: equivalence, tolerance and preference in a finite set on the basis of multiple pairwise comparisons, disturbed by random errors; they have been developed by the author. The estimators can rest on: binary (qualitative), multivalent (quantitative) and combined comparisons. The estimates are obtained on the basis of discrete programming tasks. The estimators require weak assumptions about distributions of comparisons errors, especially allow non-zero expected values. The estimators have good statistical properties, in particular consistency. Precision of the estimators can be determined also with the use of simulation methods. The estimates can be validated in versatile way. The approach allows verification of the relation type - equivalence or tolerance (using binary comparisons).

Relation:

Raport Badawczy = Research Report

Resource Type:

Report

Source:

RB-2012-16

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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