Bayesian Analysis of Individual Choice BehaviorWith Aggregate Data

Journal of Computational and Graphical Statistics

Volumn 20, Issue 1, 2011, Pages 158-173

  Park, Taeyoung ^a  

^a Yonsei University   (South Korea)

Author keywords

Choice wise sampling; Conditional Bernoulli distribution; Data augmentation; Markov chain Monte Carlo; Partial collapse

Indexed keywords

EID: 79952791595     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/jcgs.2010.10006     Document Type: Article

References (19)

1. Albert, J. H. (1992), "Bayesian Estimation of Normal Ogive Item Response Curves Using Gibbs Sampling," Journal of Educational Statistics, 17, 251-269. [161]
2. Albert, J. H., and Chib, S. (1993), "Bayesian Analysis of Binary and Polychotomous Response Data," Journal of the American Statistical Association, 88, 669-679. [161]
3. Berry, S., Levinsohn, J., and Pakes, A. (1995), "Automobile Prices in Market Equilibrium," Econometrica, 63, 841-890. [159]
4. Chen, X., and Liu, J. S. (1997), "Statistical Application of the Poisson-Binomial and Conditional Bernoulli Distributions," Statistica Sinica, 7, 875-892. [164]
5. Chen, X., Dempster, A., and Liu, J. S. (1994), "Weighted Finite Population Sampling to Maximize Entropy," Biometrika, 81, 457-469. [161,164] (Pubitemid 2141257)
6. Chen, Y., and Yang, S. (2007), "Estimating Disaggregate Models Using Aggregate Data Through Augmentation of Individual Choice," Journal of Marketing Research, 44, 613-621. [159,160,162,163]
7. Choi, T., Schervish, M. J., Schmitt, K. A., and Small, M. J. (2008), "A Bayesian Approach to Logistic Regression Model With Incomplete Information," Biometrics, 64, 424-430. [159,160,162-165] (Pubitemid 351691911)
8. Gail, M. H., Lubin, J. H., and Rubinstein, L. V. (1981), "Likelihood Calculations for Matched Case-Control Studies and Survival Studies With Tied Death Times," Biometrika, 68, 703-707. [164]
9. Gelman, A., and Rubin, D. B. (1992), "Inference From Iterative Simulations Using Multiple Sequences" (with discussion), Statistical Science, 7, 457-472. [167]
10. Liu, J. S., Wong, W. H., and Kong, A. (1994), "Covariance Structure of the Gibbs Sampler With Applications to Comparisons of Estimators and Augmentation Schemes," Biometrika, 81, 27-40. [162,163]
11. McCulloch, R., and Rossi, P. (1994), "An Exact Likelihood Analysis of the Multinomial Probit Model," Journal of Econometrics, 64, 207-240. [161]
12. Meng, X.-L., and Schilling, S. (1996), "Fitting Full-Information Item Factor Models and an Empirical Investigation of Bridge Sampling," Journal of the American Statistical Association, 91, 1254-1267. [161]
13. Musalem, A., Bradlow, E. T., and Raju, J. S. (2009), "Bayesian Estimation of Random-Coefficients Choice Models Using Aggregate Data," Journal of Applied Econometrics, 24, 490-516. [159,160,162-166]
14. Nevo, A. (2001), "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, 69, 307-342. [159] (Pubitemid 33645351)
15. Park, T., and van Dyk, D. (2009), "Partially Collapsed Gibbs Samplers: Illustrations and Applications," Journal of Computational and Graphical Statistics, 18, 283-305. [162]
16. Romeo, C. (2007), "A Gibbs Sampler for Mixed Logit Analysis of Differentiated Product Markets Using Aggregate Data," Computational Economics, 29, 33-68. [159]
17. Schuessler, A. A. (1999), "Ecological Inference," Proceedings of the National Academy of Sciences, 96, 10578- 10581. [162] (Pubitemid 29442184)
18. van Dyk, D. A., and Meng, X.-L. (2001), "The Art of Data Augmentation" (with discussion), Journal of Computational and Graphical Statistics, 10, 1-111. [159,161]
19. van Dyk, D. A., and Park, T. (2008), "Partially Collapsed Gibbs Samplers: Theory and Methods," Journal of the American Statistical Association, 103, 790-796. [162]