Extreme values, invariance and choice probabilities

Transportation Research Part B: Methodological

Volumn 59, Issue , 2014, Pages 81-95

  Mattsson, Lars Göran ^a   Weibull, Jörgen W ^a,b,c   Lindberg, Per Olov ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b STOCKHOLM SCHOOL OF ECONOMICS   (Sweden)

^c Institute for Advanced Study in Toulouse   (France)

Author keywords

Choice probabilities; Discrete choice; Extreme values; Invariance; Random utility

Indexed keywords

INVARIANCE; PROBABILITY; PROBABILITY DISTRIBUTIONS; RANDOM VARIABLES;

CLASS OF DISTRIBUTIONS; DISCRETE CHOICE; EXTREME VALUE; RANDOM UTILITY; RANDOM UTILITY MODEL; STATISTICAL DEPENDENCE; STATISTICAL INDEPENDENCE; TRANSPORTATION ANALYSIS;

WEIBULL DISTRIBUTION;

DISCRETE CHOICE ANALYSIS; NUMERICAL MODEL; PROBABILITY; STATISTICAL DISTRIBUTION;

EQUIDAE; MINK ENTERITIS VIRUS;

EID: 84889668182     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2013.10.014     Document Type: Article

References (33)

1. Aczél J., Dhombres J. Functional Equations in Several Dimensions 1989, Cambridge University Press, New York, NY.
2. Anas A., Feng C.M. Invariance of expected utility in logit models. Economics Letters 1988, 27(1):41-45.
3. Anderson S.P., de Palma A. Reverse discrete choice models. Regional Science and Urban Economics 1999, 29(6):745-764.
4. Anderson S.P., de Palma A., Thisse J.-F. Discrete Choice Theory of Product Differentiation 1992, MIT Press, Cambridge, MA.
5. Ben-Akiva M., Lerman S.R. Discrete Choice Analysis: Theory and Application to Predict Travel Demand 1985, MIT Press, Cambridge, MA.
6. Bierlaire M. A theoretical analysis of the cross-nested logit model. Annals of Operational Research 2008, 144(1):287-300.
7. Castillo E., Menéndez J.M., Jiménez P., Rivas A. Closed form expressions for choice probabilities in the Weibull case. Transportation Research Part B 2008, 42(4):373-380.
8. Coles S. An Introduction to Statistical Modeling of Extreme Values 2001, Springer Verlag, London.
9. Dalal S.R., Klein R.W. A flexible class of discrete choice models. Marketing Science 1988, 7(3):232-251.
10. Debreu G. Review of R.D. Luce, individual choice behavior: a theoretical analysis. American Economic Review 1960, 50(1):186-188.
11. de Palma A., Kilani K. Invariance of conditional maximum utility. Journal of Economic Theory 2007, 132(1):137-146.
12. Fosgerau M., Bierlaire M. Discrete choice models with multiplicative error terms. Transportation Research Part B 2009, 43(5):494-505.
13. Fosgerau M., McFadden D., Bierlaire M. Choice probability generating functions. The Journal of Choice Modelling 2013, 8:1-18.
14. Joe H. Multivariate Models and Dependence Concepts 1997, Chapman & Hall, London.
15. Li B. The multinomial logit model revisited: a semi-parametric approach in discrete choice analysis. Transportation Research Part B 2011, 45(3):461-473.
16. Lindberg, P.O., 2012. Contributions to Probabilistic Discrete Choice. Ph.D. Thesis. Department of Transport Science, KTH Royal Institute of Technology, Stockholm. Available from: < http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-95402.
17. Lindberg P.O., Eriksson E.A., Mattsson L.-G. Invariance of achieved utility in random utility models. Environment and Planning A 1995, 27(1):121-142.
18. Luce R.D., Suppes P. Preferences, utility, and subjective probability. Handbook of Mathematical Psychology 1965, 249-410. Wiley. R.D. Luce, R.R. Bush, E. Galanter (Eds.).
19. Marley A.A.J. A random utility family that includes many of the 'classical' models and has closed form choice probabilities and choice reaction times. British Journal of Mathematical and Statistical Psychology 1989, 42(1):13-36.
20. Marzano V., Papola A., Simonelli F., Vitillo R. A practically tractable expression of the covariances of the cross-nested logit model. Transportation Research Part B 2013, 57:1-11.
21. McFadden D. Conditional logit analysis of qualitative choice behavior. Frontiers in Econometrics 1974, 105-142. Academic Press, New York. P. Zarembka (Ed.).
22. McFadden D. Modelling the choice of residential location. Spatial Interaction Theory and Planning Models 1978, 75-96. North-Holland, Amsterdam. A. Karlqvist, L. Lundqvist, F. Snickars, J. Weibull (Eds.).
23. McFadden D. Econometric models of probabilistic choice. Structural Analysis of Discrete Data with Econometric Applications 1981, 198-272. MIT Press, Cambridge, MA. C.F. Manski, D. McFadden (Eds.).
24. Resnick S., Roy R. Multivariate extremal processes, leader processes and dynamic choice models. Advances in Applied Probability 1990, 22(2):309-331.
25. Resnick S.I., Roy R. Leader and maximum independence for a class of discrete choice model. Economics Letters 1990, 33(3):259-263.
26. Robertson C.A., Strauss D. A characterization theorem for random utility variables. Journal of Mathematical Psychology 1981, 23(2):184-189.
27. Smith T.E. A choice-probability characterization of generalized extreme-value models. Applied Mathematics and Computation 1984, 14(1):35-62.
28. Strauss D. Some results for random utility models. Journal of Mathematical Psychology 1979, 20(1):35-52.
29. Sydsaeter K., Hammond P. Essential Mathematics for Economic Analysis 2008, Prentice Hall, Harlow. third ed.
30. Train K. Discrete Choice Methods with Simulation 2003, Cambridge University Press, New York, NY.
31. Train K., Wilson W.W. Estimation on stated-preference experiments constructed from revealed-preference choices. Transportation Research Part B 2008, 42(3):191-203.
32. Weibull W. A statistical distribution function of wide applicability. Journal of Applied Mechanics 1951, 18(September):293-297.
33. Yellot J.I. The relationship between Luce' choice axiom, Thurstone's theory of comparative judgment, and the double exponential distribution. Journal of Mathematical Psychology 1977, 15(2):109-144.