A Poisson mixture model of discrete choice

Journal of Econometrics

Volumn 166, Issue 2, 2012, Pages 184-203

  Burda, Martin ^a,b   Harding, Matthew ^c   Hausman, Jerry ^d  

^a UNIVERSITY OF TORONTO   (Canada)

^b CHARLES UNIVERSITY   (Czech Republic)

^c STANFORD UNIVERSITY   (United States)

^d MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Bayesian nonparametric analysis; Dirichlet process prior; Markov chain Monte Carlo

Indexed keywords

CUMULANTS; DEMOGRAPHIC CHARACTERISTICS; DIRICHLET PROCESS; DISCRETE CHOICE; DRIVING DISTANCE; GIBBS SAMPLING; KEY VARIABLES; MARKOV CHAIN MONTE CARLO; MIXING DISTRIBUTIONS; MIXTURE MODEL; NON-PARAMETRIC; NON-PARAMETRIC ANALYSIS; NUMERICAL CONVERGENCE; OPPORTUNITY COSTS; PANEL DATA; POISSON PROCESS; RANDOM COEFFICIENTS; RECURSIVE ALGORITHMS; SEARCH INTENSITY; SEMIPARAMETRIC; UTILITY MAXIMIZATIONS; WALMART;

CONVERGENCE OF NUMERICAL METHODS; MARKOV PROCESSES; POISSON DISTRIBUTION;

MIXTURES;

EID: 81955164801     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2011.09.001     Document Type: Article

References (42)

1. M. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables 1964 ninth Dover printing Dover, New York tenth GPO printing edn
2. M. Aguiar, and E. Hurst Life-cycle prices and production American Economic Review 97 5 2007 1533 1559
3. J. Aldrich How likelihood and identification went Bayesian International Statistical Review 70 2 2002 79 98
4. Allenby, G.M., Rossi, P.E., McCulloch, R.E., 2005. Hierarchical Bayes models: a practitioners guide, Ssrn working paper, Ohio State University, University of Chicago.
5. C.E. Antoniak Mixtures of dirichlet processes with applications to Bayesian nonparametric problems The Annals of Statistics 1 1974 1152 1174
6. Bajari, P., Fox, J.T., Kim, K., Ryan, S., 2009. The Random Coefficients Logit Model is Identified, Working paper, NBER.
7. J.M. Bernardo, and A.F.M. Smith Bayesian Theory 1994 Wiley New York
8. Berry, S.T., Haile, P.A., 2010. Nonparametric identification of multinomial choice demand models with heterogeneous consumers, Working paper, Yale University and NBER.
9. R.A. Briesch, P.K. Chintagunta, and R.L. Matzkin Nonparametric discrete choice models with unobserved heterogeneity Journal of Business and Economic Statistics 28 2 2010 291 307
10. C. Broda, E. Leibtag, and D.E. Weinstein The role of prices in measuring the poor's living standards Journal of Economic Perspectives 23 2 2009 77 97
11. M. Burda, M.C. Harding, and J.A. Hausman A Bayesian mixed logit-probit model for multinomial choice Journal of Econometrics 147 2 2008 232 246
12. Chiappori, P.-A., Komunjer, I., 2009. On the nonparametric identification of multiple choice models, Working paper, Columbia University.
13. H.A. David, and H.N. Nagaraja Order Statistics third ed 2003 Wiley
14. M.D. Escobar, and M. West Bayesian density estimation and inference using mixtures Journal of the American Statistical Association 90 1995 577 588
15. T.S. Ferguson A Bayesian analysis of some nonparametric problems The Annals of Statistics 1 1973 209 230
16. Fox, J.T., Gandhi, A., 2010. Nonparametric identification and estimation of random coefficients in nonlinear economic models, Working paper, University of Chicago and NBER, University of Wisconsin-Madison.
17. Greene, W., 2007. Functional form and heterogeneity in models for count data, Working paper, Department of Economics, Stern School of Business, New York University.
18. S. Gurmu, P. Rilstone, and S. Stern Semiparametric estimation of count regression models Journal of Econometrics 88 1 1999 123 150 (Pubitemid 128429947)
19. Harding, M.C., Lovenheim, M., 2010. Living on a budget: national evidence on price search and consumer heterogeneity from homescan data, Working paper, Stanford University.
20. J. Hausman, B.H. Hall, and Z. Griliches Econometric models for count data with an application to the patents-r&d relationship Econometrica 52 4 1984 909 938
21. J.A. Hausman Valuation of new goods under perfect and imperfect competition T. Bresnahan, R. Gordon., The Economics of New Goods 1997 University of Chicago Press
22. M. Jochmann, and R. León-González Estimating the demand for health care with panel data: a semiparametric Bayesian approach Health Economics 13 2004 1003 1014 (Pubitemid 39386323)
23. J.B. Kadane The role of identification in Bayesian theory S.E. Fienberg, A. Zellner, Studies in Bayesian Econometrics and Statistics 1974 North-Holland Amsterdam 175 191
24. D. Karlis, and E. Xekalaki Mixed poisson distributions International Statistical Review 73 1 2005 35 58
25. S. Kotz, and S. Nadarajah Extreme value distributions: theory and applications first ed 2000 Imperial College Press London, UK
26. A. Lewbel Semiparametric qualitative response model estimation with instrumental variables and unknown heteroscedasticity Journal of Econometrics 97 0 2000 145 177
27. E. Lukacs Characteristic Functions second ed 1970 Griffin London, UK
28. F.L. Mannering, and M.M. Hamed Occurence, frequency, and duration of commuters work-to-home departure delay Transportation Research Part B: Methodological 24 2 1990 99 109
29. D. McFadden Conditional logit analysis of qualitative choice-behaviour P. Zarembka, Frontiers in Econometrics 1974 Academic Press New York
30. M.K. Munkin, and P.K. Trivedi Bayesian analysis of a self-selection model with multiple outcomes using simulation-based estimation: an application to the demand for healthcare Journal of Econometrics 114 2 2003 197 220
31. S. Nadarajah Exact distribution of the linear combination of p Gumbel random variables International Journal of Computer Mathematics 85 9 2008 1355 1362
32. R. Neal Markov chain sampling methods for dirichlet process mixture models Journal of Computational and Graphical Statistics 9 2 2000 249 265
33. A. Nevo Measuring market power in the ready-to-eat cereal industry Econometrica 69 2 2001 307 342 (Pubitemid 33645351)
34. Rendon, S., 2002. Fixed and random effects in classical and Bayesian regression, Economics Working Papers 613, Department of Economics and Business, Universitat Pompeu Fabra.
35. A. Romeu, and M. Vera-Hernández Counts with an endogenous binary regressor: a series expansion approach Econometrics Journal 8 1 2005 1 22 (Pubitemid 40412893)
36. T. Sapatinas Identifiability of mixtures of power-series distributions and related characterizations Annals of the Institute of Statistical Mathematics 47 3 1995 447 459
37. T.A. Severini Elements of Distribution Theory 2005 Cambridge University Press
38. P.J. Smith A recursive formulation of the old problem of obtaining moments from cumulants and vice versa The American Statistician 49 2 1995 217 218
39. H. Teicher On the mixture of distributions The Annals of Mathematical Statistics 31 1 1960 55 73
40. J.V. Terza Estimating count data models with endogenous switching: sample selection and endogenous treatment effects Journal of Econometrics 84 1 1998 129 154 (Pubitemid 128393269)
41. K. Train Discrete Choice Methods with Simulation 2003 Cambridge University Press
42. R. Winkelmann Econometric Analysis of Count Data fifth ed 2008 Springer