期刊
JOURNAL OF ECONOMETRICS
卷 205, 期 2, 页码 488-507出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.jeconom.2018.04.001
关键词
Binary choice model; Cube-root asymptotics; (In)-consistency of the bootstrap; Latent variable model; Smoothed bootstrap
In this paper we propose a new model-based smoothed bootstrap procedure for making inference on the maximum score estimator of Manski (1975, 1985) and prove its consistency. We provide a set of sufficient conditions for the consistency of any bootstrap procedure in this problem. We compare the finite sample performance of different bootstrap procedures through simulation studies. The results indicate that our proposed smoothed bootstrap outperforms other bootstrap schemes, including the m-out-of-n bootstrap. Additionally, we prove a convergence theorem for triangular arrays of random variables arising from binary choice models, which may be of independent interest. (C) 2018 Elsevier B.V. All rights reserved.
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