Semiparametric estimation of a censored regression model with an unknown transformation of the dependent variable

被引:28
|
作者
Gorgens, T
Horowitz, JL [1 ]
机构
[1] Univ Iowa, Dept Econ, Iowa City, IA 52242 USA
[2] Univ New S Wales, Sch Econ, Sydney, NSW 2052, Australia
基金
美国国家科学基金会;
关键词
semiparametric estimation; transformation model; empirical process; Kaplan-Meier estimator; proportional hazards model;
D O I
10.1016/S0304-4076(98)00040-2
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper presents a method for estimating the model A(Y)= min(beta'x + U, C), where Y is a scalar, ii is an unknown increasing function, X is a vector of explanatory variables, a is a vector of unknown parameters, U has unknown cumulative distribution function F, and C is a censoring threshold. It is not assumed that A and F belong to known parametric families; they are estimated nonparametrically. This model includes many widely used models as special cases, including the proportional hazards model with unobserved heterogeneity. The paper develops n(1/2)-consistent, asymptotically normal estimators of A and F. Estimators of beta that are n(1/2)-consistent and asymptotically normal already exist. The results of Monte Carlo experiments illustrate the finite-sample behavior of the estimators. (C) 1999 Elsevier Science S.A. All rights reserved. JEL classification: C14; C24; C41.
引用
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页码:155 / 191
页数:37
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