کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5097203 | 1376575 | 2008 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Semiparametric estimation of a binary response model with a change-point due to a covariate threshold
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
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چکیده انگلیسی
This paper is concerned with semiparametric estimation of a threshold binary response model. The estimation method considered in the paper is semiparametric since the parameters for a regression function are finite-dimensional, while allowing for heteroskedasticity of unknown form. In particular, the paper considers Manski's [Manski, Charles F., 1975. Maximum score estimation of the stochastic utility model of choice. Journal of Econometrics 3 (3), 205-228; Manski, Charles F., 1985. Semiparametric analysis of discrete response. Asymptotic properties of the maximum score estimator. Journal of Econometrics 27 (3), 313-333] maximum score estimator. The model in this paper is irregular because of a change-point due to an unknown threshold in a covariate. This irregularity coupled with the discontinuity of the objective function of the maximum score estimator complicates the analysis of the asymptotic behavior of the estimator. Sufficient conditions for the identification of parameters are given and the consistency of the estimator is obtained. It is shown that the estimator of the threshold parameter, γ0, is nâ1-consistent and the estimator of the remaining regression parameters, θ0, is nâ1/3-consistent. Furthermore, we obtain the asymptotic distribution of the estimator. It turns out that both estimators Î³Ë and Î¸Ë are oracle-efficient in that n(γËnâγ0) and n1/3(θËnâθ0) converge weakly to the distributions to which they would converge weakly if the other parameter(s) were known.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Econometrics - Volume 144, Issue 2, June 2008, Pages 492-499
Journal: Journal of Econometrics - Volume 144, Issue 2, June 2008, Pages 492-499
نویسندگان
Sokbae Lee, Myung Hwan Seo,