Bootstrap techniques: A valuable tool in statistical hypothesis testing about the means of fuzzy random variables

Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference

Volumn , Issue , 2005, Pages 599-604

  Montenegro, M ^a   Gonzialez Rodriguez G ^a   Colubi, A ^a   Gil, M A ^a  

^a UNIVERSITY OF OVIEDO   (Spain)

Author keywords

Bootstrap; D' W metric fuzzy random variables

Indexed keywords

BOOTSTRAP; BOOTSTRAP TECHNIQUE; FUZZY RANDOM VARIABLE; STATISTICAL HYPOTHESIS TESTING; STATISTICAL TESTING;

RANDOM VARIABLES; STATISTICAL TESTS;

FUZZY LOGIC;

EID: 50249178370     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. G.J. Babu, and K. Singh, \Inference on means using the bootstrap," Ann. Statist., vol. 11, pp. 999-1003, 1983.
2. C. Bertoluzza, N. Corral, and A. Salas, \On a new class of distances between fuzzy numbers," Mathware & Soft Computing, vol. 2, pp. 71-84, 1995.
3. M.R. Casals, \Bayesian testing of fuzzy paramet-ric hypotheses from fuzzy information." RAIRO-Rech. Oper., vol. 27, 189-199, 1993.
4. M.R. Casals and P. Gil, \Bayesian sequential test for fuzzy parametric hypotheses from fuzzy infor-mation." Inform. Sci., vol. 80, 283-298, 1994.
5. M.R. Casals, M.A. Gil and P. Gil, \The fuzzy de-cision problem: An approach to the problem of testing statistical hypotheses with fuzzy informa-tion." Eur. J. Oper. Res., vol. 27, 371-382, 1986.
6. A. Colubi, C. Fernandez-Garcia and M.A. Gil, \Simulation of random fuzzy variables: an em-pirical approach to statistical/probabilistic stud-ies with fuzzy experimental data." IEEE Trans. Fuzzy Syst., vol. 10, 384-390, 2002.
7. B. Efron, and R.J. Tibsirani, An Introduction to the Bootstrap, Boca Raton: Chapman & Hall, 1998.
8. M.A. Gil, N. Corral and M.R. Casals, \The Like-lihood Ratio test for Goodness of fit with Fuzzy Experimental Observations." IEEE Trans. Syst., Man Cyber., vol. 29, 771-779, 1989.
9. M.A. Gil, M. Montenegro, G. Gonzalez-Rodriguez, A. Colubi, and M.R. Casals, \Boot-strap approach to the classic oneway ANOVA test with imprecise data," Comp. Stat. Data Anal., in press, 2005.
10. G. Gonzalez-Rodriguez, M. Montenegro, A. Col-ubi and M.A. Gil, \Bootstrap techniques and fuzzy random variables: Synergy in hypothesis testing with fuzzy data." Fuzzy Sets and Systems, in press, 2005.
11. P. Grzegorzewski, \Testing statistical hypotheses with vague data." Fuzzy Sets and Systems, vol. 112, 501-510, 2000.
12. P. Grzegorzewski, \Fuzzy tests-defuzzification and randomization." Fuzzy Sets and Systems, vol. 118, 437-446, 2001.
13. R. KAorner, \An asymptotic ffi-test for the expec-tation of random fuzzy variables." J. Stat. Plann. Inference, vol. 83, pp. 331-346, 2000.
14. M. Montenegro, M.R. Casals, M.A. Lubiano, and M.A. Gil,\Two-sample hypothesis tests of means of a fuzzy random variable," Inform. Sci., vol. 133, pp. 89-100, 2001.
15. M. Montenegro, M.R. Casals, A. Colubi, and M.A. Gil, \Testing the expected value of a fuzzy random variabe. A discussion," Proc. Int. Conf. in Fuzzy Logic and Tech. EUSFLAT'2001, pp. 352-355, 2001.
16. M. Montenegro, A. Colubi, M.R. Casals, and M.A. Gil, \Test of one-sided hypotheses on the expected value of a fuzzy random variable," in Soft Methods in Probability, Statistics and Data Analysis, P. Grzegorzewski, O. Hryniewicz, and M.A. Gil, Eds. Berlin: Springer-Verlag, 2002, pp. 228-235.
17. M. Montenegro, Estadistica con Datos Imprecisos Basada en una Metrica Generalizada. PhD The-sis, Universidad de Oviedo, 2003.
18. M. Montenegro, A. Colubi, M.R. Casals, and M.A. Gil, \Asymptotic and Bootstrap techniques for testing the expected value of a fuzzy random variable," Metrika, vol. 59, pp. 31-49, 2004.
19. M. Montenegro, G. Gonzalez-Rodriguez, M.A. Gil, A. Colubi, and M.R. Casals, \Introduction to ANOVA with fuzzy random variables," in Soft Methodology and Random Information Systems, M. Lopez-Diaz, M.A. Gil, P. Grzegorzewski, O. Hryniewicz, and J. Lawry, Eds. Berlin: Springer-Verlag, 2004, pp. 487-494.
20. M.L. Puri, and D.A. Ralescu, \Fuzzy random variables," J. Math. Anal. Appl., vol. 114, pp. 409-422, 1986.
21. P. Filzmoser and R. Viertl, \Testing hypotheses with fuzzy data: The fuzzy p-value," Metrika, vol. 59, 21-29, 2004.