Abstract
This article describes some aspects of maximum score estimation of parameters of multinomial and, especially, binomial choice models. In the context of binomial choice models, strengths and weaknesses of the estimation procedure are discussed, as well as its relation to classical quantile regression estimation and its nonstandard rate of convergence. The benefits of smoothing the score criterion function are also noted.
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Bibliography
Abrevaya, J., and J. Huang. 2005. On the bootstrap of the maximum score estimator. Econometrica 73: 1175–1204.
Horowitz, J.L. 1992. A smoothed maximum score estimator for the binary response model. Econometrica 60: 505–531.
Horowitz, J.L. 1993. Optimal rates of convergence of parameter estimators in the binary response model with weak distributional assumptions. Econometric Theory 9: 1–18.
Horowitz, J.L. 2002. Bootstrap critical values for tests based on the smoothed maximum score estimator. Econometrica 111: 141–167.
Kim, J., and D. Pollard. 1990. Cube root asymptotics. Annals of Statistics 18: 191–219.
Koenker, R., and G. Bassett Jr. 1978. Regression quantiles. Econometrica 46: 33–50.
Kordas, G. 2006. Smoothed binary regression quantiles. Journal of Applied Econometrics 21: 387–407.
Manski, C.F. 1975. Maximum score estimation of the stochastic utility model of choice. Journal of Econometrics 3: 205–228.
Manski, C.F. 1985. Semiparametric analysis of discrete response: Asymptotic properties of the maximum score estimator. Journal of Econometrics 27: 313–333.
Manski, C.F. 1988. Analog estimation methods in econometrics. New York: Chapman and Hall.
Manski, C.F. 1995. Identification problems in the social sciences. Cambridge, MA: Harvard University Press.
McFadden, D. 1974. Conditional logit analysis of qualitative choice behavior. In Frontiers in econometrics, ed. P. Zarembka. New York: Academic.
Powell, J.L. 1994. Estimation of semiparametric models. In Handbook of econometrics, vol. 4, ed. R. Engle and D. McFadden. Amsterdam: North-Holland.
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Sherman, R.P. (2018). Maximum Score Methods. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_2847
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DOI: https://doi.org/10.1057/978-1-349-95189-5_2847
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