Tests for relation type - equivalence or tolerance - in a finite set of elements

• Autorzy: Klukowski L.
• Języki publikacji: EN

Abstrakty

EN

The statistical procedure for determination of the type of relation - equivalence or tolerance - in a finite set of elements, estimated on the basis of pairwise comparisons with random errors, is presented. The procedure consists of two tests based on Chebyshev's inequality for variance of a random variable; the test statistic is a mixture of some random variables. An example of application of the procedure - determination of relation type in the set of functions expressing profitability of treasury securities sold at auctions in Poland - is presented, too.

Słowa kluczowe

EN

tests for relation type; pairwise comparisons; nearest adjoining order method

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2006
• Tom: Vol. 35, no 2
• Strony: 369--384
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Klukowski L.

• Ministry of Finance, 12 Świętokrzyska Str., 00-916 Warsaw, Poland,

Bibliografia

• DAVID, H.A. (1988) The Method of Paired Comparisons, 2nd ed. Ch. Griffin, London.
• KLUKOWSKI, L. (1990) Algorithm for classification of samples in the case of unknown number of random variables generating them. Przegląd Statystyczny XXXVII (3) (in Polish), 167-177.
• KLUKOWSKI, L. (1994) Some probabilistic properties of the nearest adjoining order method and its extensions. Annals of Operations Research 51, 241-261.
• KLUKOWSKI, L. (2000) The nearest adjoining order method for pairwise comparisons in the form of difference of ranks. Annals of Operations Research 97, 357-378.
• KLUKOWSKI, L. (2002) Estimation of tolerance relation on the basis of pairwise comparisons with random errors. In: Z. Bubnicki, 0. Hryniewicz, R. Kulikowski, eds., Methods and techniques of data analysis mid decision support. Akademicka Oficyna Wydawnicza EXIT, Warszawa 2002 (in Polish), V-21-V-35.
• SLATER, P. (1961) Inconsistencies in a schedule of paired comparisons. Biometrika 48, 303-312.