Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

Volumn , Issue , 2011, Pages 1-256

  Viertl, Reinhard ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ECONOMICS; FUZZY SETS; STATISTICS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

DATA UNCERTAINTY; ENVIRONMENTAL STATISTICS; FUZZY MEASUREMENTS; MATHEMATICAL DESCRIPTIONS; PRIORI INFORMATION; QUANTITATIVE DESCRIPTION; STATISTICAL ANALYSIS METHODS; STATISTICAL DATAS;

FUZZY LOGIC;

EID: 80054083312     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470974414     Document Type: Book

References (40)

1. Arnold, B. F. (1996) An approach to fuzzy hypothesis testing, Metrika, 44, 119-126.
2. Catlin, D. E. (1989) Estimation, Control and the Discrete Kalman Filter, Springer, New York.
3. Diamond, P. and Kloeden, P. (1990) Metric spaces of fuzzy sets, Fuzzy Sets Syst., 35, 241-249.
4. Diamond, P. and Kloeden, P. (1992) Metric spaces of fuzzy sets: corrigendum, Fuzzy Sets Syst., 45, 123.
5. Diamond, P. and Kloeden, P. (1994) Metric Spaces of Fuzzy Sets, World Scientific, Singapore.
6. Dutter, R. and Viertl, R. (1998) Computation of confidence regions based on non-precise data, in COMPSTAT-Proceedings in Computational Statistics, Short Communications, IACR, Rothamsted, pp. 27-28.
7. Feng, Y. (2001) Sums of independent fuzzy random variables, Fuzzy Sets Syst., 123, 11-18.
8. Feng, Y., Hu, L. and Shu, H. (2001) The variance and covariance of fuzzy random variables and their application, Fuzzy Sets Syst., 120, 487-497.
9. Filzmoser, P. and Viertl, R. (2004) Testing hypotheses with fuzzy data, Metrika, 59, 21-29.
10. Frechet, M. (1948) Les elements aleatoires de natures quelconque dans un espace distancie, Ann. Inst. H. Poincare, 10, 215-310.
11. Gebhardt, J., Gil, M. and Kruse, R. (1997) Fuzzy set-theoretic methods in statistics, in R. Slowinski (ed.) Handbook of Fuzzy Sets, Kluwer, Dordrecht, pp. 311-347.
12. Grewal, M. S. and Andrews, A. P. (2001) Kalman Filtering, John Wiley & Sons, Ltd, New York.
13. Grzegorzewski, P. (2001) Fuzzy tests - defuzzification and randomization, Fuzzy Sets Syst., 180, 437-446.
14. Hareter, D. (2003) Zeitreihenanalyse mit unscharfen Daten, Doctoral dissertation, Vienna University of Technology, Vienna.
15. Janacek, G. (2001) Practical Time Series, Oxford University Press, New York.
16. Klement, E., Mesiar, R. and Pap, E. (2000) Triangular Norms, Kluwer, Dordrecht.
17. Körner, R. (1997a) Linear Models with Random Fuzzy Variables, Dissertation, TU Bergakademie Freiburg.
18. Körner, R. (1997b) On the variance of random fuzzy variables, Fuzzy Sets Syst., 92, 83-93.
19. Körner, R. (2000) An asymptotic α-test for the expectation of random fuzzy variables. J. Statist. Plann. Inference, 83, 331-346.
20. Körner, R. and Näther, W. (1998) Linear regression with random fuzzy variables: extended classical estimates, best linear estimates, least squares estimates, Inform. Sci., 109, 95-118.
21. Körner, R. and Näther, W. (2002) On the variance of random fuzzy variables, Stud. Fuzziness Soft Comput., 87, 25-42.
22. Krätschmer, V. (2001) Some complete metrics on spaces of fuzzy subsets, Fuzzy Sets Syst., 130, 357-365.
23. Luptacik, M. (1981) Nichtlineare Programmierung mit ökonomischen Anwendungen, Athenäum Verlag, Königstein.
24. Meinhold, R. J. and Singpurwalla, N. D. (1983) Understanding the Kalman Filter, Am. Stat., 37, 123-127.
25. Menger, K. (1951) Ensembles flous et fonctions aleatoires, C. R. Acad. Sci., 232, 2001-2003.
26. Munk, K. (1998) Regressionsrechnung mit unscharfen Daten, Diploma thesis, Institute of Statistics and Probability Theory, Vienna University of Technology, Vienna.
27. Näther, W. (1997) Linear statistical inference for random fuzzy data, Statistics, 29, 221-240.
28. Näther, W. and Albrecht, M. (1990) Linear regression with random fuzzy observations, Statistics, 21, 521-531.
29. Parchami, A., Taheri, S. and Mashinchi, M. (2010) Fuzzy p-value in testing fuzzy hypotheses with crisp data, Stat. Papers, 51, 209-226.
30. Puri, M. L. and Ralescu, D. A. (1986) Fuzzy random variables, J. Math. Anal. Appl., 114, 409-422.
31. Römer, C. and Kandel, A. Statistical tests for fuzzy data, Fuzzy Sets Syst., 72, 1-26.
32. Schlittgen, R. and Streitberg, H. J. (1984) Zeitreihenanalyse, 8th edition, Oldenbourg Verlag, Munich.
33. Schönfeld, P. (1969) Methoden der Ökonometrie. Band I - LineareRegressionsmodelle,Vahlen, Berlin.
34. Schnatter, S. (1990) Linear dynamic systems and fuzzy data, in R. Trappl (ed.) Cybernetics and Systems '90, World Scientific, Singapore.
35. Taheri, S. (2003) Trends in fuzzy statistics, Aust. J. Stat., 32, 239-257.
36. Trutschnig, W. (2006) Fuzzy Probability Distributions, Doctoral dissertation, Vienna University of Technology, Vienna.
37. Viertl, R. (1987) Is it necessary to develop a fuzzy Bayesian inference, in R. Viertl (ed.) Probability and Bayesian Statistics, Plenum Press, New York, pp. 471-475.
38. Viertl, R. (2002) On the description and analysis of measurement results of continuous quantities, Kybernetika, 38, 353-362.
39. Viertl, R. and Hareter, D. (2006) Beschreibung und Analyse unscharfer Information -Statistische Methoden für unscharfe Daten, Springer, Vienna.
40. Zadeh, L. A. (1965) Fuzzy sets, Inform. Control, 8, 338-353.