|
EconStor >
The Johns Hopkins University, Baltimore, Md. >
Department of Economics, The Johns Hopkins University >
Working Papers, Department of Economics, The Johns Hopkins University >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10419/49869
|
| | |
| Title: | | Nonparametric identification using instrumental variables: Sufficient conditions for completeness  |
| Authors: | | Hu, Yingyao Shiu, Ji-liang |
| Issue Date: | | 2011 |
| Series/Report no.: | | Working papers // the Johns Hopkins University, Department of Economics 581 |
| Abstract: | | This paper provides sufficient conditions for the nonparametric identification of the regression function m(.) in a regression model with an endogenous regressor x and an instrumental variable z. It has been shown that the identification of the regression function from the conditional expectation of the dependent variable on the instrument relies on the completeness of the distribution of the endogenous regressor conditional on the instrument, i.e., f(x). We provide sufficient conditions for the completeness of f(x) without imposing a specific functional form, such as the exponential family. We show that if the conditional density f(x) coincides with an existing complete density at a limit point in the support of z, then f(x) itself is complete, and therefore, the regression function m(.) is nonparametrically identified. We use this general result provide specific sufficient conditions for completeness in three different specifications of the relationship between the endogenous regressor x and the instrumental variable z. |
| Subjects: | | nonparametric identification instrumental variable completeness endo-geneity. |
| Document Type: | | Working Paper |
| Appears in Collections: | | Working Papers, Department of Economics, The Johns Hopkins University
|
| Files in This Item:
| |
|
| No. of Downloads:
| |
| last Month |
last 3 Month |
total |
|
|
|
|
|
| |
| | |
Download bibliographical data as:
BibTeX
|
| |
Share on:http://hdl.handle.net/10419/49869
|
Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.
|