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Bayesian analysis of nested logit model by Markov chain Monte Carlo

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  • Lahiri, Kajal
  • Gao, Jian

Abstract

We develop a Markov Chain Monte Carlo (MCMC) algorithm for estimating nested logit models in a Bayesian framework. Appropriate "heating target" and reparameterization techniques are adopted for fast mixing. For illustrative purposes, we have implemented the algorithm on two real-life examples involving 3-level structures. The first example involves Social Security's disability determination process, Lahiri et al. (1995). The second one is taken from Amemiya and Shimono's (1989) model of labor supply behavior of the aged. We applied a combination of various convergence criteria to ensure that the chain has converged to its target distribution.
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  • Lahiri, Kajal & Gao, Jian, 2002. "Bayesian analysis of nested logit model by Markov chain Monte Carlo," Journal of Econometrics, Elsevier, vol. 111(1), pages 103-133, November.
    • Handle: RePEc:eee:econom:v:111:y:2002:i:1:p:103-133
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    1. Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, vol. 57(6), pages 1317-1339, November.
    2. Kenneth Train, 1980. "A Structured Logit Model of Auto Ownership and Mode Choice," Review of Economic Studies, Oxford University Press, vol. 47(2), pages 357-370.
    3. Geweke, John, 1994. "Priors for Macroeconomic Time Series and Their Application," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 609-632, August.
    4. Matthews, Peter, 1993. "A slowly mixing Markov chain with implications for Gibbs sampling," Statistics & Probability Letters, Elsevier, vol. 17(3), pages 231-236, June.
    5. Hensher, David A, 1986. "Sequential and Full Information Maximum Likelihood Estimation of a Nested Logit Model," The Review of Economics and Statistics, MIT Press, vol. 68(4), pages 657-667, November.
    6. Herriges, Joseph A. & Kling, Catherine L., 1996. "Testing the consistency of nested logit models with utility maximization," Economics Letters, Elsevier, vol. 50(1), pages 33-39, January.
    7. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(3), pages 409-431, August.
    8. Brownstone, David & Small, Kenneth A, 1989. "Efficient Estimation of Nested Logit Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(1), pages 67-74, January.
    9. Christopher A. Sims, 1991. "Comment on 'To Criticize the Critics,' by Peter C. B. Phillips," Cowles Foundation Discussion Papers 985, Cowles Foundation for Research in Economics, Yale University.
    10. Falaris, Evangelos M, 1987. "A Nested Logit Migration Model with Selectivity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(2), pages 429-443, June.
    11. Catherine L. Kling & Cynthia J. Thomson, 1996. "The Implications of Model Specification for Welfare Estimation in Nested Logit Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(1), pages 103-114.
    12. Jianting Hu & Kajal Lahiri & Denton R. Vaughan & Bernard Wixon, 2001. "A Structural Model Of Social Security'S Disability Determination Process," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 348-361, May.
    13. McFadden, Daniel, 1980. "Econometric Models for Probabilistic Choice among Products," The Journal of Business, University of Chicago Press, vol. 53(3), pages 13-29, July.
    14. Catherine L. Kling & Joseph A. Herriges, 1995. "An Empirical Investigation of the Consistency of Nested Logit Models with Utility Maximization," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(4), pages 875-884.
    15. Borsch-Supan, Axel, 1990. "On the compatibility of nested logit models with utility maximization," Journal of Econometrics, Elsevier, vol. 43(3), pages 373-388, March.
    16. Siddhartha Chib & Edward Greenberg & Yuxin Chen, 1998. "MCMC Methods for Fitting and Comparing Multinomial Response Models," Econometrics 9802001, University Library of Munich, Germany, revised 06 May 1998.
    17. John Geweke, 1999. "Using simulation methods for bayesian econometric models: inference, development,and communication," Econometric Reviews, Taylor & Francis Journals, vol. 18(1), pages 1-73.
    18. Paulo Guimaraes & Robert J. Rolfe & Douglas P. Woodward, 1998. "Regional Incentives and Industrial Location in Puerto Rico," International Regional Science Review, , vol. 21(2), pages 119-138, August.
    19. Poirier, Dale J., 1996. "A Bayesian analysis of nested logit models," Journal of Econometrics, Elsevier, vol. 75(1), pages 163-181, November.
    20. Koning, Ruud H. & Ridder, Geert, 1994. "On the compatibility of nested logit models with utility maximization : A comment," Journal of Econometrics, Elsevier, vol. 63(2), pages 389-396, August.
    21. Train, Kenneth E & Ben-Akiva, Moshe & Atherton, Terry, 1989. "Consumption Patterns and Self-selecting Tariffs," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 62-73, February.
    22. Roberts, G. O. & Smith, A. F. M., 1994. "Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms," Stochastic Processes and their Applications, Elsevier, vol. 49(2), pages 207-216, February.
    23. Koop, Gary & Poirier, Dale J., 1993. "Bayesian analysis of logit models using natural conjugate priors," Journal of Econometrics, Elsevier, vol. 56(3), pages 323-340, April.
    24. Cameron, Trudy Ann, 1985. "A Nested Logit Model of Energy Conservation Activity by Owners of Existing Single Family Dwellings," The Review of Economics and Statistics, MIT Press, vol. 67(2), pages 205-211, May.
    25. Daniel McFadden, 1977. "Quantitative Methods for Analyzing Travel Behaviour of Individuals: Some Recent Developments," Cowles Foundation Discussion Papers 474, Cowles Foundation for Research in Economics, Yale University.
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    1. Method of the month: custom likelihoods with Stan
      by Sam Watson in The Academic Health Economists' Blog on 2018-05-18 06:00:27

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    6. Sergio Aquino de Souza, 2008. "Combining Prior Information and Data to Uncover the Parameters from the Random Coefficient Discrete? Choice Demand Model," Anais do XXXVI Encontro Nacional de Economia [Proceedings of the 36th Brazilian Economics Meeting] 200807211342080, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    7. Haijime Katayama & Shihua Lu & James Tybout, 2003. "Why Plant-Level Productivity Studies are Often Misleading, and an Alternative Approach to Interference," NBER Working Papers 9617, National Bureau of Economic Research, Inc.
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    9. Verlinda, Jeremy A., 2005. "A Bayesian analysis of tree structure specification in nested logit models," Economics Letters, Elsevier, vol. 87(1), pages 67-73, April.
    10. Sergio Aquino de Souza, 2011. "A Simplified Mixed Logit Demand Model with an Application to the Simulation of Entry," Working Papers 04-2011, Universidade de São Paulo, Faculdade de Economia, Administração e Contabilidade de Ribeirão Preto.

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