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Nonparametric and Distribution-Free Estimation of the Binary Choice and the Threshold-Crossing Models

This paper studies the problem of nonparametric identification and estimation of binary threshold-crossing and binary choice models. First, conditions are given that guarantee the nonparametric identification of both the function of exogenous observable variables and the distribution of the random terms. Second, the identification results are employed to develop strongly consistent estimation methods that are nonparametric in both the function of observable exogenous variables and the distribution of the unobservable random variables. The estimators are obtained by maximizing a likelihood function over nonparametric sets of functions. A two- step constrained optimization procedure is devised to compute these estimators.

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File URL: http://cowles.econ.yale.edu/P/cd/d08b/d0889.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 889.

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Length: 53 pages
Date of creation: Sep 1988
Date of revision:
Publication status: Published in Econometrica (March 1992), 60(2): 239-270
Handle: RePEc:cwl:cwldpp:889
Note: CFP 809.
Contact details of provider: Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/

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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. 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.
  2. Matzkin, Rosa L, 1991. "Semiparametric Estimation of Monotone and Concave Utility Functions for Polychotomous Choice Models," Econometrica, Econometric Society, vol. 59(5), pages 1315-27, September.
  3. Rosa L. Matzkin, 1990. "Estimation of Multinomial Models Using Weak Monotonicity Assumptions," Cowles Foundation Discussion Papers 957, Cowles Foundation for Research in Economics, Yale University.
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