Statistical inference about the median from vague data

• Autorzy: Grzegorzewski P.
• Języki publikacji: EN

Abstrakty

EN

In traditional statistics all parameters of the mathematical model and possible observations should be well defined. Sometimes such assumption appears too rigid for the real-life problems, especially when dealing with imprecise or linguistic data. To relax this rigidity fuzzy methods are incorporated into statistics. This paper is devoted to statistical inference about the population median in the presence of vague data. We propose the notion of fuzzy median. Then we suggest a fuzzy estimator and fuzzy confidence interval for the median. Next we discuss the problem of hypothesis testing concerning the median in the presence of imprecise data. All methods presented are distribution-free.

Słowa kluczowe

EN

confidence interval; estimation; fuzzy numbers; fuzzy sets; hypothesis testing; median; nonparametric statistics; sign-test; vague data

PL

estymacja; metoda nieparametryczna; metoda statystyczna; testowanie hipotezy; zbiór rozmyty

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1998
• Tom: Vol. 27, no 3
• Strony: 447--464
• Opis fizyczny: Bibliogr. 21 poz.,

Twórcy

autor

Grzegorzewski P.

• Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland and Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland