Nonparametric Regression with Nonparametrically Generated Covariates

نویسندگان

  • Enno Mammen
  • Christoph Rothe
  • Melanie Schienle
چکیده

In this paper, we analyze the properties of nonparametric estimators of a regression function when some covariates are not directly observed, but have only been estimated by some nonparametric procedure. We provide general results that can be used to establish rates of consistency or asymptotic normality in numerous econometric applications, including nonparametric estimation of simultaneous equation models, sample selection models, treatment effect models, and censored regression models. JEL Classification: C14, C31

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bayesian Nonparametric Modeling in Quantile Regression

We propose Bayesian nonparametric methodology for quantile regression modeling. In particular, we develop Dirichlet process mixture models for the error distribution in an additive quantile regression formulation. The proposed nonparametric prior probability models allow the data to drive the shape of the error density and thus provide more reliable predictive inference than models based on par...

متن کامل

Identification and Estimation of Nonlinear Models Using Two Samples with Nonclassical Measurement Errors.

This paper considers identification and estimation of a general nonlinear Errors-in-Variables (EIV) model using two samples. Both samples consist of a dependent variable, some error-free covariates, and an error-prone covariate, for which the measurement error has unknown distribution and could be arbitrarily correlated with the latent true values; and neither sample contains an accurate measur...

متن کامل

Nonparametric Identification of a Binary Random Factor in Cross Section Data

Suppose V and U are two independent mean zero random variables, where V has an asymmetric distribution with two mass points and U has a symmetric distribution. We show that the distributions of V and U are nonparametrically identified just from observing the sum V +U , and provide a rate root n estimator. We illustrate the results with an empirical example looking at possible convergence over t...

متن کامل

Generated Covariates in Nonparametric Estimation: A Short Review

In many applications, covariates are not observed but have to be estimated from data. We outline some regression-type models where such a situation occurs and discuss estimation of the regression function in this context. We review theoretical results on how asymptotic properties of nonparametric estimators differ in the presence of generated covariates from the standard case where all covariat...

متن کامل

Modified Cp Criterion for Optimizing Ridge and SmoothParameters in the MGR Estimator for the Nonparametric GMANOVA Model

Longitudinal trends of observations can be estimated using the generalized multivariate analysis of variance (GMANOVA) model proposed by [10]. In the present paper, we consider estimating the trends nonparametrically using known basis functions. Then, as in nonparametric regression, an overfitting problem occurs. [13] showed that the GMANOVA model is equivalent to the varying coefficient model ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010