Local consistency of the iterative least-squares estimator for the semiparametric binary choice model

  • Hisatoshi TanakaEmail author
Part of the Advances in Mathematical Economics book series (MATHECON, volume 17)


Wang and Zhou propose an iterative estimation algorithm for the binary choice model in “Working paper no. E-180-95, the Center for Business and Economic Research, College of Business and Economics, University of Kentucky (1995).” The method is easy-to-implement, semiparametric, and free from choosing nonparametric tuning parameters such as a kernel bandwidth. In this paper, a rigorous proof for consistency of the estimator will be given.

Key words

Binary choice model EM algorithm Isotonic regression Iteration method Semiparametric estimation 



The author would like to deeply appreciate the financial support by the Seimeikai Foundation at Bank of Tokyo-Mitsubishi UFJ, 2-7-1 Marunouchi, Chiyoda-ku, Tokyo 100-8388, Japan, and gratefully acknowledges helpful comments and suggestions from anonymous referees.


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Copyright information

© Springer Japan 2013

Authors and Affiliations

  1. 1.Waseda UniversityTokyoJapan

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