Computing With Words and Life Data

• Autorzy: Grzegorzewski P. , Hryniewicz O
• Języki publikacji: EN

Abstrakty

EN

The problem of statistical inference on the mean lifetime in the presence of vague data is considered. Situations with fuzzy lifetimes and an imprecise number of failures are discussed.

Słowa kluczowe

EN

computing with words; life data; vague data; estimation; hypotheses testing

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 3
• Strony: 337--345
• Opis fizyczny: Bibliogr. 13 poz., tab.

Twórcy

autor

Grzegorzewski P.

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland

autor

Hryniewicz O

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland

Bibliografia

• [1] Chanas S. (2001): On the interval approximation of a fuzzy number. - Fuzzy Sets Syst., Vol. 122, pp. 353-356.
• [2] Cox D.R. (1953): Some simple approximate tests for Poisson variates. - Biometrika, Vol. 40, pp. 354-360.
• [3] Dubois D. and Prade H. (1978): Operations on fuzzy numbers. - Int. J. Syst. Sci., Vol. 9, pp. 613-626.
• [4] Grzegorzewski P. (2000): Testing statistical hypotheses with vague data. - Fuzzy Sets Syst., Vol. 112, pp. 501-510.
• [5] Grzegorzewski P. (2001): Estimation of the mean lifetime from vague data. - Proc. Int. Conf. Fuzzy Logic and Technology, Eusflat 2001, Leicester, pp. 348-351.
• [6] Grzegorzewski P. and Hryniewicz O. (1999): Lifetime tests for vague data, In: Computing with Words in Information/Intelligent Systems, Part 2 (Zadeh L.A., Kacprzyk J., Eds.). - Heidelberg: Physica-Verlag, pp. 176-193.
• [7] Kruse R. (1982): The strong law of large numbers for fuzzy random variables. - Inform. Sci., Vol. 28, pp. 233-241.
• [8] Kruse R. and Meyer K.D. (1987): Statistics with Vague Data. - D. Riedel Publishing Company.
• [9] Kruse R. and Meyer K.D. (1988): Confidence intervals for the parameters of a linguistic random variable, In: Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making (Kacprzyk J., Fedrizzi M., Eds.). - SpringerVerlag, pp. 113-123.
• [10] Kwakernaak H. (1978): Fuzzy random variables, Part I: Definitions and theorems. - Inform. Sci., Vol. 15, pp. 1-15.
• [11] Kwakernaak H. (1979): Fuzzy random variables, Part 2: Algorithms and examples for the discrete case. - Inform. Sci., Vol. 17, pp. 253-278.
• [12] Lawless J.F. (1982): Statistical Models and Methods for Lifetime Data. - New York: Wiley.
• [13] Puri M.L. and Ralescu D.A. (1986): Fuzzy random variables. - J. Math. Anal. Appl., Vol. 114, pp. 409-422.