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Estimation of tolerance relation on the basis of multiple pairwise comparisons with random errors
Subtitle:Raport Badawczy = Research Report ; RB/39/2006
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:28 pages ; 21 cm ; Bibliography p. 27-28
Subject and Keywords:Tolerance relation estimation ; Multiple pairwise comparisons ; Comparisons expressing the number of common features ; Wielokrotne porównanie parami ; Estymacja relacji tolerancji ; Porównania wyrażające liczbę wspólnych cech
Abstract:The methods of tolerance relation estimation on the basis of pairwise comparisons with random errors, in the case of multiple comparisons of each pair are proposed in the paper. Each comparison expresses the number of common features of both elements or the number of their missing features. The assumptions made about distributions of comparisons errors are very weak, especially they may be unknown. Two approaches are discussed: the first one based on averaging of each pair comparisons and the second based on the median from comparisons. Results of estimation are obtained on the basis of discrete programming tasks. The properties of estimators are based on some probabilistic inequalities. An example of application of the estimators proposed is presented too.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: 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
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