Discrete and Continuous Representations of Unobserved Heterogeneity in Choice Modeling

Marketing Letters

Volumn 10, Issue 3, 1999, Pages 219-232

  Wedel, Michel ^a   Kamakura, Wagner ^b   Arora, Neeraj ^c   Bemmaor, Albert ^d   Chiang, Jeongwen ^e   Elrod, Terry ^f   Johnson, Rich ^g   Lenk, Peter ^h   Neslin, Scott ⁱ   Poulsen, Carsten Stig ^j  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b UNIVERSITY OF IOWA   (United States)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^d ESSEC BUSINESS SCHOOL   (France)

^e HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^f UNIVERSITY OF ALBERTA   (Canada)

^g Sawtooth Software ^*

^h UNIVERSITY OF MICHIGAN   (United States)

ⁱ DARTMOUTH COLLEGE   (United States)

^j AALBORG UNIVERSITY   (Denmark)

more..

Author keywords

Markov Chain Monte Carlo; Mixing Distributions; Multinomial Logit; Multinomial Probit; Simulated Likelihood

Indexed keywords

EID: 0000792331     PISSN: 09230645     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008054316179     Document Type: Article

References (49)

1. Allenby, Greg M., Neeraj Arora and James L. Ginter (1998), "On the Heterogeneity of Demand," Journal of Marketing Research, August 35, 384-389.
2. Allenby, Greg M. and James L. Ginter (1995), "Using Extremes to Design Products and Segment Markets," Journal of Marketing Research, 32, November, 392-403.
3. Allenby, Greg M. and Peter J. Lenk (1994), "Modeling Household Purchase Behavior with Logistic Normal Regression," Journal of the American Statistical Association, December, Vol. 89, No. 428, 1218-1231.
4. Allenby, Greg M. and Peter J. Lenk (1995), "Reassessing Brand Loyalty, Price Sensitivity, And Merchandising Effects On Consumer Brand Choice," Journal of Business and Economic Statistics, 13 (3), 281-290.
5. Allenby, Greg M. and Peter E. Rossi (1999), "Marketing Models of Heterogeneity," Journal of Econometrics, 89, 57-78.
6. Arora, Neeraj, Greg M. Allenby and James L. Ginter (1998), "A Hierarchical Bayes Model of Primary and Secondary Demand," Marketing Science, Vol. 17, No. 1, 29-44.
7. Berger, James O., Statistical Decision Theory: Foundations, Concepts and Methods, First Edition, Springer-Verlag, New York, 1980.
8. Bernardo, Jose M. and Adrian F. M. Smith, Bayesian Theory, John Wiley & Sons, New York, 1994.
9. Böckenholt, Ulf (1993). Estimating Latent Distributions in Recurrent Choice Data, Psychometrika, 58, 489-509.
10. Börsch-Supan, Axel and Vassilis A. Hajivassiliou (1993), "Smooth Unbiased Multivariate Probability Simulators for Maximum Likelihood Estimation of Limited Dependent Variable Models," Journal of Econometrics, 58(3), 347-368.
11. Chamberlain, Gary (1980) "Analysis of Covariance with Qualitative Data," Review of Economic Studies, 46, 225-238
12. Chiang, Jeongwen, Siddarth Chib and C. Narasimhan (1999), "Markov Chain Monte Carlo and Models of Consideration Set and Parameter Heterogeneity," Journal of Econometrics, 89, 223-248.
13. Chib, Siddarth and E. Greenberg (1995), "Understanding the Metropolis-Hastings Algorithm," The American Statistician 49, 327-335.
14. Chintagunta, Pradeep, Dipak C. Jain and Naufel J. Vilcassim (1991), "Investigating Heterogeneity in Brand Preferences in Logit Models for Panel Data," Journal of Marketing Research, 28, 417-28.
15. Davidian, Marie and Gallant, A. R. (1993), "The nonlinear mixed effects model with a smooth random effects density," Biometrika, 80, 475-488.
16. Davidian, Marie and David M. Giltinan (1995), Nonlinear Models for Repeated Measurement Data, London: Chapman & Hall.
17. De Finetti, Bruno, Teoria Delle Probabilita, Giulio Einaudi editore s.p.a., Torino, 1970. Translated by Antonio Machi and Adrian Smith and published in two volumes by John Wiley & Sons, New York, under the title Theory of Probability, 1974 and 1975.
18. De Finetti, Bruno, Teoria Delle Probabilita, Giulio Einaudi editore s.p.a., Torino, 1970. Translated by Antonio Machi and Adrian Smith and published in two volumes by John Wiley & Sons, New York, under the title Theory of Probability, 1974 and 1975.
19. DeSarbo, Wayne S., Venkat Ramaswamy, and Steve H. Cohen (1995), "Market Segmentation with Choice-Based Conjoint Analysis," Marketing Letters, 6, 137-148.
20. DeSarbo, Wayne S., Asim Ansari, Pradeep Chintagunta, Charles Himmelberg, Kamel Jedidi, Rich Johnson, Wagner A. Kamakura, Peter Lenk, Kannan Srinivasan, Michel Wedel (1997), Representing Heterogeneity in Consumer response models". Marketing Letters, 8(3) 335-348.
21. Diebolt, Jean and Eddie H.S. Ip (1996), Stochastic EM: Method and Application. In: Markov Chain Monte Carlo in Practice (W.R. Gilks, S. Ridchardson and D.J. Spiegelhalter eds.) Chapman and Hall, London, pp. 259-274.
22. Elrod, Terry and Michael Keane (1996), "A Factor Analytic Probit Model for Representing the Market Structure in Panel Data," Journal of Marketing Research, 32 (February), 1-16.
23. Fader, Peter S., and James M. Lattin (1993), "Accounting for Heterogeneity and Nonstationarity in a Cross-Sectional Model of Consumer Purchase Behavior," Marketing Science 12, 304-317.
24. Gelman, Andrew, John B. Carlin, Hal S. Stern and Donald B. Rubin (1995), Bayesian Data Analysis. London: Chapman Hall.
25. Geweke, John (1989), "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, 51, 1317-1339.
26. Gönül, Füsun and Kannan Srinivasan (1993), "Modeling Multiple Sources of Heterogeneity in Multinomial Logit Models: Methodological and Managerial Issues," Marketing Science 12, (3), 213-229.
27. Gouriéroux, Christian and Alain Monfort (1993), "Simulation-based inference," Journal of Econometrics, 59, 5-33.
28. Guadagni, Peter M. and John. D.C. Little (1983), "A Logit Model of Brand Choice," Marketing Science, 2 (Summer), 203-238.
29. Haaijer, Rinus E., Michel Wedel, Marco Vriens and Tom J. Wansbeek (1998) Predictions in conjoint choice experiments: The X-factor probit model. Marketing Science, 17(3), 236-253.
30. Hagerty, Michael R. (1985), "Improving Predictive Power of Conjoint Analysis: The Use of Factor Analysis and Cluster Analysis," Journal of Marketing Research, 22, May, 168-184.
31. Hajivassiliou, Vassilis A. (1993), "Simulation Estimation Methods for Limited Dependent Variable Models," in G.S. Maddala, C.R. Rao, and H.D. Vinod (eds), Handbook of Statistics, Vol 11.
32. Jeffreys, Harold, Theory of Probability, first published by International Series of Monographs in Physics, 1939, reprinted by Oxford University Press, 1985.
33. Johnson, Richard M. (1997), "ICE: Individual Choice Estimation" Working paper, Sawtooth Software, Inc.
34. Kamakura, Wagner A. and Gary J. Russell. (1989), "A Probabilistic Choice Model for Market Segmentation and Elasticity Structure." Journal of Marketing Research, 26, 339-390.
35. Keane, Michael P. (1997), "Modeling Heterogeneity and State Dependence in Consumer Choice Behavior," Journal of Business and Economic Statistics, 15 (July), 310-327.
36. Lee, Lung-Fei (1995), "Asymptotic Bias in Simulated Maximum Likelihood Estimation of Discrete Choice Models," Econometric Theory, 437-483.
37. Lee, Lung-Fei (1997), "Simulated Maximum Likelihood Estimation of Dynamic Discrete Choice Statistical Models: Some Monte Carlo results," Journal of Econometrics, 82, 1-35.
38. Lenk, Peter J., Wayne S. DeSarbo, Paul E. Green, and Martin R. Young (1996), "Hierarchical Bayes Conjoint Analysis: Recovery of Partworth Heterogeneity from Reduced Experimental Designs," Marketing Science, Vol. 15, No. 2, 173-191.
39. Lenk, P. (1998), "Bayesian inference of semiparametric regression," Journal of the Royal Statistical Society, Series B, forthcoming
40. Lenk, P. and DeSarbo, W. (1998), "Bayesian inference for finite mixtures of generalized linear models with random effects," Psychometrika, forthcoming
41. Lindsey, Jim K. (1996), Parametric Statistical Inference. Oxford: Clarendon Press.
42. McFadden, D. (1973), "Conditional Logit Analysis of Qualitative Choice Behavior," In P. Zarembka (ed.), Frontiers in Econometrics, New York: Academic.
43. Mahajan, Vijay and Arun K. Jain. "An Approach to Normative Segmentation," Journal of Marketing Research, August 1978, 338-345
44. Revelt, David and Kenneth Train (1997), "Mixed Logit with Repeated Choices: Household's Choices of Appliance Efficiency Level," Review of Economics and Statistics (Forthcoming)
45. Rossi, Peter and Greg Allenby (1993), "A Bayesian Approach to Estimating Household Parameters," Journal of Marketing Research 30, 171-82.
46. Rossi, Peter E., Robert E. McCulloch and Greg M. Allenby (1996), "The Value of Purchase History Data in Target Marketing," Marketing Science, 15, 321-340.
47. Savage, Leonard J., The Foundations of Statistics, 1954, reprinted by Dover, New York, 1972.
48. Vriens, Marco, Michel Wedel, and Tom Wilms. "Segmentation methods for metric conjoint analysis: A Monte Carlo comparison," Journal of Marketing Research, 33 (February), 1996, 73-85,
49. Wedel, Michel and Wagner A. Kamakura (1997), Market Segmentation: Conceptual and Methodological Foundations. Dordrecht: Kluwer.