Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/246799 
Year of Publication: 
2021
Series/Report no.: 
cemmap working paper No. CWP31/21
Publisher: 
Centre for Microdata Methods and Practice (cemmap), London
Abstract: 
There are many economic parameters that depend on nonparametric first steps. Examples include games, dynamic discrete choice, average exact consumer surplus, and treatment effects. Often estimators of these parameters are asymptotically equivalent to a sample average of an object referred to as the influence function. The influence function is useful in local policy analysis, in evaluating local sensitivity of estimators, and constructing debiased machine learning estimators. We show that the influence function is a Gateaux derivative with respect to a smooth deviation evaluated at a point mass. This result generalizes the classic Von Mises (1947) and Hampel (1974) calculation to estimators that depend on smooth nonparametric first steps. We give explicit influence functions for first steps that satisfy exogenous or endogenous orthogonality conditions. We use these results to generalize the omitted variable bias formula for regression to policy analysis for and sensitivity to structural changes. We apply this analysis and find no sensitivity to endogeneity of average equivalent variation estimates in a gasoline demand application.
Subjects: 
Influence function
semiparametric estimation
NPIV
JEL: 
C13
C14
C20
C26
C36
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

Files in This Item:
File
Size
437.18 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.