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ARTICLES

Error distributions assumptions in random regret choice models: towards error Frechit specifications

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Pages 1250-1268 | Received 30 Mar 2018, Accepted 03 Oct 2019, Published online: 01 Mar 2020

References

  • Akaike, H. 1974. “A New Look at the Statistical Model Identification.” IEEE Transactions on Automatic Control 19 (6): 716–723. doi: 10.1109/TAC.1974.1100705
  • Beck, M. J., C. G. Chorus, J. M. Rose, and D. A. Hensher. 2013. “Vehicle Purchasing Behaviour of Individuals and Groups: Regret or Reward?.” Journal of Transport Economics and Policy 47: 475–492.
  • Ben-Akiva, M., and J. Swait. 1986. “The Akaike Likelihood Ratio Index.” Transportation Science 20: 133–136. doi: 10.1287/trsc.20.2.133
  • Boeri, M., and L. Masiero. 2014. “Regret Minimization and Utility Maximization in a Freight Transport Context: An Application from Two Stated Choice Experiments.” Transportmetrica A: Transport Science 10 (6): 548–560. doi: 10.1080/23249935.2013.809818
  • Castillo, E., J. M. Menendez, P. Jimenez, and A. Rivas. 2008. “Closed Form Expressions for Choice Probabilities in the Weibull Case.” Transportation Research Part B: Methodological 42: 373–380. doi: 10.1016/j.trb.2007.08.002
  • Chorus, C. G. 2010. “A New Model of Random Regret Minimization.” European Journal of Transport and Infrastructure Research 10 (2): 181–196.
  • Chorus, C. G. 2012. Random Regret-based Discrete Choice Modeling: A Tutorial. Dordrecht: Springer.
  • Chorus, C. G. 2014. “Benefit of Adding an Alternative to One’s Choice Set: A Regret Minimization Perspective.” Journal of Choice Modeling 13: 1–11. doi: 10.1016/j.jocm.2015.01.003
  • Chorus, C. G., T. A. Arentze, and H. J. P. Timmermans. 2008. “A Random Regret-Minimization Model of Travel Choice.” Transportation Research Part B: Methodological 42 (1): 1–18. doi: 10.1016/j.trb.2007.05.004
  • Chorus, C. G., T. A. Arentze, and H. J. P. Timmermans. 2009. “Spatial Choice: A Matter of Utility or Regret?” Environment and Planning B: Planning and Design 36 (3): 538–551. doi: 10.1068/b34092
  • Chorus, C. G., and S. Van Cranenburgh. 2018. “Specification of Regret-Based Models of Choice Behaviour: Formal Analyses and Experimental Design Based Evidence—Commentary.” Transportation 45 (1): 247–256. doi: 10.1007/s11116-016-9739-x
  • Chorus, C. G., S. Van Cranenburgh, and T. Dekker. 2014. “Random Regret Minimization for Consumer Choice Modeling: Assessment of Empirical Evidence.” Journal of Business Research 67 (11): 2428–2436. doi: 10.1016/j.jbusres.2014.02.010
  • De Moraes Ramos, G., W. Daamen, and S. Hoogendoorn. 2011. “Expected Utility Theory, Prospect Theory, and Regret Theory Compared for Prediction of Route Choice Behavior.” Transportation Research Record: Journal of the Transportation Research Board 2230: 19–28. doi: 10.3141/2230-03
  • Fosgerau, M., and M. Bierlaire. 2009. “Discrete Choice Models with Multiplicative Error Terms.” Transportation Research Part B: Methodological 43: 494–505. doi: 10.1016/j.trb.2008.10.004
  • Hensher, D. A., W. H. Greene, and C. Q. Ho. 2016. “Random Regret Minimization and Random Utility Maximization in the Presence of Preference Heterogeneity: An Empirical Contrast.” Journal of Transportation Engineering 142: 1–17. doi: 10.1061/(ASCE)TE.1943-5436.0000827
  • Hensher, D. A., J. M. Rose, and W. H. Green. 2015. Applied Choice Analysis. 2nd ed. Cambridge: Cambridge University Press.
  • Hess, S., M. J. Beck, and C. G. Chorus. 2014. “Contrasts Between Utility Maximisation and Regret Minimisation in the Presence of Opt Out Alternatives.” Transportation Research Part A 66: 1–12.
  • Jang, S., S. Rasouli, and H. J. P. Timmermans. 2017. “Bias in Random Regret Models Due to Measurement Error: Formal and Empirical Comparison with Random Utility Model.” Transportmetrica A: Transport Science 13 (5): 405–434. doi: 10.1080/23249935.2017.1285366
  • Jang, S., S. Rasouli, and H. J. P. Timmermans. 2020. “Error By Omitted Variables in Regret-based Choice Models: Formal and Empirical Comparison with RUM Using Orthogonal Design Data.” Transportmetrica A 16: 892–909.
  • Kaplan, S., and C. G. Prato. 2012. “The Application of the Random Regret Minimization Model to Drivers’ Choice of Crash Avoidance Maneuvers.” Transportation Research Part F: Traffic Psychology and Behaviour 15 (6): 699–709. doi: 10.1016/j.trf.2012.06.005
  • Khan, M. S., G. R. Pasha, and A. H. Pasha. 2008. “Theoretical Analysis of Inverse Weibull Distribution.” WSEAS Transactions on Mathematics 7 (2): 30–38.
  • Kitthamkesorn, S., and A. Chen. 2013. “A Path-Size Weibit Stochastic User Equilibrium Model.” Transportation Research Part B: Methodological 57: 378–397. doi: 10.1016/j.trb.2013.06.001
  • Koppelman, F. S., and C. H. Wen. 2000. “The Paired Combinatorial Logit Model: Properties, Estimation and Application.” Transportation Research Part B 34: 75–89. doi: 10.1016/S0191-2615(99)00012-0
  • Leong, W., and D. A. Hensher. 2015. “Contrasts of Relative Advantage Maximisation with Random Utility Maximisation and Regret Minimization.” Journal of Transport Economics and Policy 49: 167–186.
  • Li, D., Y. Gao, R. Li, and W. Zhou. 2018. “Hybrid Random Regret Minimization and Random Utility Maximization in the Context of Schedule-Based Urban Rail Transit Assignment.” Journal of Advanced Transportation, to appear.
  • Mattsson, L. G., J. W. Weibull, and P. O. Lindberg. 2014. “Extreme Values, Invariance and Choice Probabilities.” Transportation Research Part B 59: 81–95.
  • McFadden, D. 1978. “Modeling the Choice of Residential Location.” In Spatial Interaction Theory and Planning Models, 105–142. Amsterdam: North-Holland.
  • Quiggin, J. 1994. “Regret Theory with General Choice Sets.” Journal of Risk and Uncertainty 8 (2): 153–165. doi: 10.1007/BF01065370
  • Rasouli, S., and H. J. P. Timmermans. 2014. “Regret-based Models of Consumer Choice of Shopping Center.” Paper presented at the 21th RARCS Conference, Bucharest, Romania.
  • Rasouli, S., and H. J. P. Timmermans. 2017. “Specification of Regret-Based Models of Choice Behavior: Formal Analyses and Experimental Design Based Evidence.” Transportation 44 (6): 1555–1576. doi: 10.1007/s11116-016-9714-6
  • Rasouli, S., and H. J. P. Timmermans. 2018. “Issues in the Specification of Regret-Only Choice Models: a Rejoinder to Chorus and Van Cranenburgh.” Transportation 45 (1): 257–263. doi: 10.1007/s11116-016-9740-4
  • Schwarz, G. E. 1978. “Estimating the Dimension of a Model.” Annals of Statistics 6: 461–464.
  • Sharma, B., M. Hickman, and N. Nassir. 2017. “Park-and-ride Lot Choice Model Using Random Utility Maximization and Random Regret Minimization” Transportation, to appear.