Cycle-transitive comparison of independent random variables

Journal of Multivariate Analysis

Volumn 96, Issue 2, 2005, Pages 352-373

  De Schuymer, Bart ^a   De Meyer, H ^a   De Baets, B ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Comparison of independent random variables; Cycle transitivity; Dice model; Isostochastic transitivity; Probabilistic relation; Stochastic dominance; T norm

Indexed keywords

EID: 26844570243     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmva.2004.10.011     Document Type: Article

References (16)

1. H. David, The Method of Paired Comparisons, Griffin's Statistical Monographs & Courses, vol. 12, Charles Griffin & D. Ltd., 1963.
2. B. De Baets, H. De Meyer, B. De Schuymer, S. Jenei, Cyclic evaluation of transitivity of reciprocal relations, Soc. Choice Welfare, in press.
3. B. De Schuymer H. De Meyer B. De Baets S. Jenei On the cycle-transitivity of the dice model Theory Decision 54 2003 261-285
4. J.-P. Doignon B. Monjardet M. Roubens Ph. Vincke Biorder families, valued relations and preference modelling J. Math. Psychol. 30 1986 435-480
5. B. Dutta J.F. Laslier Comparison functions and choice correspondences Soc. Choice Welfare 16 1999 513-532
6. J. Fodor M. Roubens Fuzzy Preference Modelling and Multicriteria Decision Support 1994 Kluwer Academic Publishers Dordrecht
7. J. García-Lapresta B. Llamazares Majority decisions based on difference of votes J. Math. Econom. 35 2001 463-481
8. H. Levy Stochastic Dominance 1998 Kluwer Academic Publishers Norwell, MA
9. E. Klement, R. Mesiar, E. Pap, Triangular Norms, Trends in Logic, Studia Logica Library, vol. 8, Kluwer Academic Publishers, Dordrecht, 2000.
10. B. Monjardet, A generalisation of probabilistic consistency: Linearity conditions for valued preference relations, in: J. Kacprzyk, M. Roubens (Eds.), Non-conventional Preference Relations in Decision Making, Lecture Notes in Economics and Mathematical Systems, vol. 301, Springer, Berlin, 1988, pp. 36-53.
11. R. Nelsen An Introduction to Copulas 1998 Springer New York
12. H. Nurmi Comparing Voting Systems 1987 Reidel Dordrecht
13. R.N. Shepard Circularity in judgments of relative pitch J. Acoust. Soc. Amer. 36 1964 2346-2353
14. Z. Switalski Transitivity of fuzzy preference relations-an empirical study Fuzzy Sets and Systems 118 2001 503-508
15. T. Tanino, Fuzzy preference relations in group decision making, in: J. Kacprzyk, M. Roubens (Eds.), Non-Conventional Preference Relations in Decision Making, Lecture Notes in Economics and Mathematical Systems, vol. 301, Springer, Berlin, 1988, pp. 54-71.
16. A. Tversky Intransitivity of preferences Psychol. Rev. 76 1969 31-38