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Generalized Maximum Entropy Estimation of Dynamic Programming Models with Sample Selection Bias

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  • Rosa Papalia

Abstract

In this study, an alternative estimation strategy is suggested, which requires the solution of a dynamic programming problem, expressed in term of conditional choice value functions. The problem of defining the Euler equation for the corner solution case is overcome by introducing an additional constraint on the conditional choice value functions, which provides a correction for the sample selection bias. The problem of estimating the parameters of the resulting objective function and of the state equation is solved using numerical methods in a linear-quadratic inverse control problem which consists of an objective function together with the set of introduced constraints. First step estimates are computed by generalized maximum entropy estimation techniques. Copyright Physica-Verlag 2003

Suggested Citation

  • Rosa Papalia, 2003. "Generalized Maximum Entropy Estimation of Dynamic Programming Models with Sample Selection Bias," Computational Statistics, Springer, vol. 18(3), pages 463-475, September.
    • Handle: RePEc:spr:compst:v:18:y:2003:i:3:p:463-475
    DOI: 10.1007/BF03354610
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    1. V. Joseph Hotz & Robert A. Miller & Seth Sanders & Jeffrey Smith, 1994. "A Simulation Estimator for Dynamic Models of Discrete Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 265-289.
    2. Victor Aguirregabiria & Pedro Mira, 2002. "Swapping the Nested Fixed Point Algorithm: A Class of Estimators for Discrete Markov Decision Models," Econometrica, Econometric Society, vol. 70(4), pages 1519-1543, July.
    3. Victor Aguirregabiria, 1999. "The Dynamics of Markups and Inventories in Retailing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 275-308.
    4. Sims,Christopher A. (ed.), 1994. "Advances in Econometrics," Cambridge Books, Cambridge University Press, number 9780521444606.
    5. V. Joseph Hotz & Robert A. Miller, 1993. "Conditional Choice Probabilities and the Estimation of Dynamic Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 497-529.
    6. Miller, Robert A, 1984. "Job Matching and Occupational Choice," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 1086-1120, December.
    7. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    8. Sims,Christopher A. (ed.), 1994. "Advances in Econometrics," Cambridge Books, Cambridge University Press, number 9780521444590.
    9. Aguirregabiria, Victor, 1997. "Estimation of Dynamic Programming Models with Censored Dependent Variables," University of Western Ontario, Departmental Research Report Series 9711, University of Western Ontario, Department of Economics.
    10. Keane, Michael P & Wolpin, Kenneth I, 1994. "The Solution and Estimation of Discrete Choice Dynamic Programming Models by Simulation and Interpolation: Monte Carlo Evidence," The Review of Economics and Statistics, MIT Press, vol. 76(4), pages 648-672, November.
    11. Kwan, Yum K. & Chow, Gregory C., 1997. "Chow's method of optimal control: A numerical solution," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 739-752, May.
    12. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
    13. Víctor Aguirregabiria, 1997. "Estimation of dynamic programming models with censored decision variables," Investigaciones Economicas, Fundación SEPI, vol. 21(2), pages 167-208, May.
    14. Chow, Gregory C., 1993. "Optimal control without solving the Bellman equation," Journal of Economic Dynamics and Control, Elsevier, vol. 17(4), pages 621-630, July.
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