The BCHOICE Procedure

Albert, J. H., and Chib, S. (1993). “Bayesian Analysis of Binary and Polychotomous Response Data.” Journal of the American Statistical Association 88:669–679.

Allenby, G. M. (1997). “An Introduction to Hierarchical Bayesian Modeling.” American Marketing Association, Advanced Research Techniques Forum, Tutorial Notes.

Allenby, G. M., and Lenk, P. (1994). “Modeling Household Purchase Behavior with Logistic Normal Regression.” Journal of the American Statistical Association 89:1218–1231.

Allenby, G. M., and Rossi, P. E. (1991). “Quality Perceptions and Asymmetric Switching between Brands.” Marketing Science 10:185–205.

Allenby, G. M., and Rossi, P. E. (1999). “Marketing Models of Consumer Heterogeneity.” Journal of Econometrics 89:57–78.

Bhat, C. R. (1995). “A Heteroscedastic Extreme Value Model of Intercity Travel Mode Choice.” Transportation Research 29:471–483.

Eilers, P. H. C., and Marx, B. D. (1996). “Flexible Smoothing with B-Splines and Penalties.” Statistical Science 11:89–121. With discussion.

Gamerman, D. (1997). “Sampling from the Posterior Distribution in Generalized Linear Models.” Statistics and Computing 7:57–68.

Gelman, A., Carlin, J. B., Stern, H. S., and Rubin, D. B. (2004). Bayesian Data Analysis. 2nd ed. London: Chapman & Hall.

Herriges, J. A., and Kling, C. L. (1996). “Testing the Consistency of Nested Logit Models with Utility Maximization.” Economics Letters 50:33–39.

Kass, R. E., Carlin, B. P., Gelman, A., and Neal, R. M. (1998). “Markov Chain Monte Carlo in Practice: A Roundtable Discussion.” American Statistician 52:93–100.

Kling, C. L., and Herriges, J. A. (1995). “An Empirical Investigation of the Consistency of Nested Logit Models with Utility Maximization.” American Journal of Agricultural Economics 77:875–884.

Kuhfeld, W. F. (2010). Marketing Research Methods in SAS. Technical report, SAS Institute Inc., Cary, NC. http://support.sas.com/resources/papers/tnote/tnote_marketresearch.html.

Lahiri, K., and Gao, J. (2002). “Bayesian Analysis of Nested Logit Model by Markov Chain Monte Carlo.” Journal of Econometrics 11:103–133.

McCullagh, P., and Nelder, J. A. (1989). Generalized Linear Models. 2nd ed. London: Chapman & Hall.

McCulloch, R., and Rossi, P. E. (1994). “An Exact Likelihood Analysis of the Multinomial Probit Model.” Journal of Econometrics 64:207–240.

McFadden, D. (1974). “Conditional Logit Analysis of Qualitative Choice Behavior.” In Frontiers in Econometrics, edited by P. Zarembka, 105–142. New York: Academic Press.

McFadden, D. (1978). “Modelling the Choice of Residential Location.” In Spatial Interaction Theory and Planning Models, edited by A. Karlqvist, L. Lundqvist, F. Snickars, and J. Weibull, 75–96. Amsterdam: North-Holland.

McFadden, D. (2001). “Economic Choices.” American Economic Review 91:351–378.

Roberts, G. O., Gelman, A., and Gilks, W. R. (1997). “Weak Convergence and Optimal Scaling of Random Walk Metropolis Algorithms.” Annals of Applied Probability 7:110–120.

Roberts, G. O., and Rosenthal, J. S. (2001). “Optimal Scaling for Various Metropolis-Hastings Algorithms.” Statistical Science 16:351–367.

Rossi, P. E. (2012). “Bayesm Package: Bayesian Inference for Marketing/Micro-econometrics.” http://www.perossi.org/home/bsm-1.

Rossi, P. E. (2013). Personal communication.

Rossi, P. E., Allenby, G. M., and McCulloch, R. (2005). Bayesian Statistics and Marketing. Chichester, UK: John Wiley & Sons.

Rossi, P. E., McCulloch, R., and Allenby, G. M. (1996). “The Value of Purchase History Data in Target Marketing.” Marketing Science 15:321–340.

Schervish, M. J. (1995). Theory of Statistics. New York: Springer-Verlag.

Train, K. E. (2009). Discrete Choice Methods with Simulation. 2nd ed. Cambridge: Cambridge University Press.

Train, K. E., McFadden, D. L., and Ben-Akiva, M. (1987). “The Demand for Local Telephone Service: A Fully Discrete Model of Residential Calling Patterns and Service Choice.” Rand Journal of Economics 18:109–123.