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Estimation of multinomial logit models with unobserved heterogeneity using maximum simulated likelihood

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  • Peter Haan

    ()
    (DIW Berlin)

  • Arne Uhlendorff

    ()
    (DIW Berlin)

Abstract

In this paper, we suggest a Stata routine for multinomial logit mod- els with unobserved heterogeneity using maximum simulated likelihood based on Halton sequences. The purpose of this paper is twofold. First, we describe the technical implementation of the estimation routine and discuss its properties. Further, we compare our estimation routine with the Stata program gllamm, which solves integration by using Gauss-Hermite quadrature or adaptive quadrature. For the analysis, we draw on multilevel data about schooling. Our empirical findings show that the estimation techniques lead to approximately the same estimation results. The advantage of simulation over Gauss-Hermite quadrature is a marked reduction in computational time for integrals with higher dimensions. Adaptive quadrature leads to more stable results relative to the other integration methods. However, simulation is more time efficient. We find that maximum simulated like- lihood leads to estimation results with reasonable accuracy in roughly half the time required when using adaptive quadrature. Copyright 2006 by StataCorp LP.

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Bibliographic Info

Article provided by StataCorp LP in its journal Stata Journal.

Volume (Year): 6 (2006)
Issue (Month): 2 (June)
Pages: 229-245

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Handle: RePEc:tsj:stataj:v:6:y:2006:i:2:p:229-245

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Related research

Keywords: multinomial logit model; multinomial logistic model; panel data; unobserved heterogeneity; maximum simulated likelihood; Halton sequences;

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References

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  1. Kenneth Train, 2003. "Discrete Choice Methods with Simulation," Online economics textbooks, SUNY-Oswego, Department of Economics, number emetr2, Spring.
  2. Lorenzo Cappellari & Stephen P. Jenkins, 2003. "Multivariate probit regression using simulated maximum likelihood," Stata Journal, StataCorp LP, vol. 3(3), pages 278-294, September.
  3. repec:tsj:spbook:mimus is not listed on IDEAS
  4. Kenneth Train ., 2000. "Halton Sequences for Mixed Logit," Economics Working Papers E00-278, University of California at Berkeley.
  5. Sophia Rabe-Hesketh & Anders Skrondal & Andrew Pickles, 2002. "Reliable estimation of generalized linear mixed models using adaptive quadrature," Stata Journal, StataCorp LP, vol. 2(1), pages 1-21, February.
  6. Bhat, Chandra R., 2001. "Quasi-random maximum simulated likelihood estimation of the mixed multinomial logit model," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 677-693, August.
  7. Sophia Rabe-Hesketh & Anders Skrondal, 2012. "Multilevel and Longitudinal Modeling Using Stata, 3rd Edition," Stata Press books, StataCorp LP, edition 3, number mimus2, March.
  8. William W. Gould & Jeffrey Pitblado & Brian Poi, 2010. "Maximum Likelihood Estimation with Stata," Stata Press books, StataCorp LP, edition 4, number ml4, March.
  9. Peter Haan, 2005. "State Dependence and Female Labor Supply in Germany: The Extensive and the Intensive Margin," Discussion Papers of DIW Berlin 538, DIW Berlin, German Institute for Economic Research.
  10. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053.
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Citations

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Cited by:
  1. Julio Rosa & Pierre Mohnen, 2013. "Doing R&D in a Closed or Open Mode: Dynamics and Impacts on Productivity," CIRANO Working Papers 2013s-42, CIRANO.
  2. Cappellari, Lorenzo & Jenkins, Stephen P., 2006. "Calculation of Multivariate Normal Probabilities by Simulation, with Applications to Maximum Simulated Likelihood Estimation," IZA Discussion Papers 2112, Institute for the Study of Labor (IZA).
  3. Fabio Berton, 2008. "The (long) run out of unemployment: are temporary jobs the shortest way?," LABORatorio R. Revelli Working Papers Series 76, LABORatorio R. Revelli, Centre for Employment Studies.
  4. Mosthaf, Alexander & Schank, Thorsten & Schnabel, Claus, 2009. "Low-wage employment versus unemployment: which one provides better prospects for women?," IWQW Discussion Paper Series 14/2009, Friedrich-Alexander-Universität Erlangen-Nürnberg, Institut für Wirtschaftspolitik und Quantitative Wirtschaftsforschung (IWQW).
  5. Wicker, Pamela & Prinz, Joachim & von Hanau, Tassilo, 2012. "Estimating the value of national sporting success," Sport Management Review, Elsevier, vol. 15(2), pages 200-210.
  6. Alem, Yonas & Beyene, Abebe D. & Kohlin, Gunnar & Mekonnen, Alemu, 2013. "Household Fuel Choice in Urban Ethiopia: A Random Effects Multinomial Logit Analysis," Discussion Papers dp-13-12-efd, Resources For the Future.
  7. Sara Ayllón, 2013. "Understanding poverty persistence in Spain," SERIEs, Spanish Economic Association, vol. 4(2), pages 201-233, June.
  8. Arne Uhlendorff, 2006. "From No Pay to Low Pay and Back Again?: A Multi-State Model of Low Pay Dynamics," Discussion Papers of DIW Berlin 648, DIW Berlin, German Institute for Economic Research.
  9. Hess , Wolfgang & Schwarzkopf , Larissa & Hunger , Matthias & Holle , Rolf, 2013. "Competing-Risks Duration Models with Correlated Random Effects: An Application to Dementia Patients’ Transition Histories," Working Papers 2013:28, Lund University, Department of Economics.
  10. Max Löffler, 2013. "Fitting Complex Mixed Logit Models with Particular Focus on Labor Supply Estimation," German Stata Users' Group Meetings 2013 07, Stata Users Group.

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