Abstract
Binary response regression models are useful in many economic and statistical applications. Horowitz (1992) proposes a semi-parametric estimation method, which is a smoothed version of, and has a faster convergence rate than, Manski’s maximum score estimator. The method for selecting the smoothing parameter (bandwidth) here is analogous to the plug-in method in kernel density estimation. It requires initial “pilot” values of the bandwidth to obtain the optimal bandwidth. However, this method has the disadvantage of not being fully data-driven. In this paper, we propose a data-driven bandwidth selection method by minimizing a cross-validated criterion function. Our simulation results show that the proposed method performs better than some existing methods.
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