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Identification of dynamic binary response models

Author

Listed:
  • Khan, S.
  • Ponomareva, M.
  • Tamer, E.

Abstract

We consider identification of parameters in dynamic binary response models with panel data under minimal assumptions. This model is prominent in empirical economics as it has been used to infer state dependence in the presence of unobserved heterogeneity. The main results in our paper are characterizations of the identified set under weak assumptions. The results generalize the existing literature in several directions: (1) we do not require any restrictions on the support of the observables; for example, we allow for time trends, time dummies, and/or only discrete covariates; (2) we only maintain that the idiosyncratic error terms are stationary over time conditional on the fixed effect and the covariates (without conditioning on initial conditions) and without imposing a parametric distribution on the distribution of these error terms; (3) we show that it is possible to get point identification in some cases even with T=2 (two time periods). We also construct examples of identified sets in some designs to illustrate the informational content of different assumptions.

Suggested Citation

  • Khan, S. & Ponomareva, M. & Tamer, E., 2023. "Identification of dynamic binary response models," Journal of Econometrics, Elsevier, vol. 237(1).
    • Handle: RePEc:eee:econom:v:237:y:2023:i:1:s0304407623002312
    DOI: 10.1016/j.jeconom.2023.105515
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    References listed on IDEAS

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    1. Bo E. Honore & Arthur Lewbel, 2002. "Semiparametric Binary Choice Panel Data Models Without Strictly Exogeneous Regressors," Econometrica, Econometric Society, vol. 70(5), pages 2053-2063, September.
    2. Arellano, Manuel & Honore, Bo, 2001. "Panel data models: some recent developments," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 53, pages 3229-3296, Elsevier.
    3. Bo E. Honoré & Elie Tamer, 2006. "Bounds on Parameters in Panel Dynamic Discrete Choice Models," Econometrica, Econometric Society, vol. 74(3), pages 611-629, May.
    4. Alexander Torgovitsky, 2019. "Nonparametric Inference on State Dependence in Unemployment," Econometrica, Econometric Society, vol. 87(5), pages 1475-1505, September.
    5. Manski, Charles F, 1987. "Semiparametric Analysis of Random Effects Linear Models from Binary Panel Data," Econometrica, Econometric Society, vol. 55(2), pages 357-362, March.
    6. Joseph G. Altonji & Rosa L. Matzkin, 2005. "Cross Section and Panel Data Estimators for Nonseparable Models with Endogenous Regressors," Econometrica, Econometric Society, vol. 73(4), pages 1053-1102, July.
    7. Chamberlain, Gary & Imbens, Guido W, 2003. "Nonparametric Applications of Bayesian Inference," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 12-18, January.
    8. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    9. Andrew Chesher & Adam M. Rosen, 2017. "Generalized Instrumental Variable Models," Econometrica, Econometric Society, vol. 85, pages 959-989, May.
    10. Jean‐Pierre Dubé & Günter J. Hitsch & Peter E. Rossi, 2010. "State dependence and alternative explanations for consumer inertia," RAND Journal of Economics, RAND Corporation, vol. 41(3), pages 417-445, September.
    11. Bo E. Honoré & Luojia Hu, 2020. "Selection Without Exclusion," Econometrica, Econometric Society, vol. 88(3), pages 1007-1029, May.
    12. Aguirregabiria, Victor & Gu, Jiaying & Luo, Yao, 2021. "Sufficient statistics for unobserved heterogeneity in structural dynamic logit models," Journal of Econometrics, Elsevier, vol. 223(2), pages 280-311.
    13. Manski, Charles F., 1985. "Semiparametric analysis of discrete response : Asymptotic properties of the maximum score estimator," Journal of Econometrics, Elsevier, vol. 27(3), pages 313-333, March.
    14. Bo E. Honoré & Martin Weidner, 2020. "Moment Conditions for Dynamic Panel Logit Models with Fixed Effects," CeMMAP working papers CWP38/20, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    15. Maria Polyakova, 2016. "Regulation of Insurance with Adverse Selection and Switching Costs: Evidence from Medicare Part D," American Economic Journal: Applied Economics, American Economic Association, vol. 8(3), pages 165-195, July.
    16. Devesh Raval & Ted Rosenbaum, 2018. "Why Do Previous Choices Matter for Hospital Demand? Decomposing Switching Costs from Unobserved Preferences," The Review of Economics and Statistics, MIT Press, vol. 100(5), pages 906-915, December.
    17. Jonathan D. Ketcham & Claudio Lucarelli & Christopher A. Powers, 2015. "Paying Attention or Paying Too Much in Medicare Part D," American Economic Review, American Economic Association, vol. 105(1), pages 204-233, January.
    18. Luojia Hu, 2002. "Estimation of a Censored Dynamic Panel Data Model," Econometrica, Econometric Society, vol. 70(6), pages 2499-2517, November.
    19. Xiaoxia Shi & Matthew Shum & Wei Song, 2018. "Estimating Semi‐Parametric Panel Multinomial Choice Models Using Cyclic Monotonicity," Econometrica, Econometric Society, vol. 86(2), pages 737-761, March.
    20. Aristodemou, Eleni, 2021. "Semiparametric identification in panel data discrete response models," Journal of Econometrics, Elsevier, vol. 220(2), pages 253-271.
    21. Brendan Kline & Elie Tamer, 2016. "Bayesian inference in a class of partially identified models," Quantitative Economics, Econometric Society, vol. 7(2), pages 329-366, July.
    22. repec:eme:rlec11:s0147-912120140000039001 is not listed on IDEAS
    23. Arie Beresteanu & Ilya Molchanov & Francesca Molinari, 2011. "Sharp Identification Regions in Models With Convex Moment Predictions," Econometrica, Econometric Society, vol. 79(6), pages 1785-1821, November.
    24. Khan, Shakeeb & Ponomareva, Maria & Tamer, Elie, 2011. "Sharpness in randomly censored linear models," Economics Letters, Elsevier, vol. 113(1), pages 23-25, October.
    25. Kenneth Y. Chay & Dean R. Hyslop, 2014. "Identification and Estimation of Dynamic Binary Response Panel Data Models: Empirical Evidence Using Alternative Approaches," Research in Labor Economics, in: Safety Nets and Benefit Dependence, volume 39, pages 1-39, Emerald Group Publishing Limited.
    26. Komarova, Tatiana, 2013. "Binary choice models with discrete regressors: Identification and misspecification," Journal of Econometrics, Elsevier, vol. 177(1), pages 14-33.
    27. Bo E. Honoré & Ekaterini Kyriazidou, 2019. "Identification in Binary Response Panel Data Models: Is Point-Identification More Common Than We Thought?," Annals of Economics and Statistics, GENES, issue 134, pages 207-226.
    28. Victor Chernozhukov & Iván Fernández‐Val & Jinyong Hahn & Whitney Newey, 2013. "Average and Quantile Effects in Nonseparable Panel Models," Econometrica, Econometric Society, vol. 81(2), pages 535-580, March.
    29. Manuel Arellano & Stèphane Bonhomme, 2011. "Nonlinear Panel Data Analysis," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 395-424, September.
    30. Benjamin R. Handel, 2013. "Adverse Selection and Inertia in Health Insurance Markets: When Nudging Hurts," American Economic Review, American Economic Association, vol. 103(7), pages 2643-2682, December.
    31. Bo E. Honoré & Ekaterini Kyriazidou, 2000. "Panel Data Discrete Choice Models with Lagged Dependent Variables," Econometrica, Econometric Society, vol. 68(4), pages 839-874, July.
    32. Songnian Chen & Shakeeb Khan & Xun Tang, 2019. "Exclusion Restrictions in Dynamic Binary Choice Panel Data Models: Comment on “Semiparametric Binary Choice Panel Data Models Without Strictly Exogenous Regressors”," Econometrica, Econometric Society, vol. 87(5), pages 1781-1785, September.
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    More about this item

    Keywords

    Binary choice; Dynamic panel data; Fixed effects; Partial identification;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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