Nonparametric inference for counterfactual means: Bias-correction, confidence sets, and weak IV

Yanqin Fan; Sang Soo Park

doi:10.1016/j.jeconom.2013.08.005

Nonparametric inference for counterfactual means: Bias-correction, confidence sets, and weak IV

Yanqin Fan^*
, Sang Soo Park

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper supplements Manski (1990) and Manski and Pepper (2000) and contributes to the literature by introducing the concept of weak IV for the partially identified mean counterfactual outcomes when an instrumental variable (IV) or a monotone instrumental variable (MIV) is available (IV or MIV assumption respectively); developing asymptotically uniformly valid confidence sets for the counterfactual mean outcomes and average treatment effects under the assumptions; correcting biases of estimates of bounds on the counterfactual mean outcomes under the assumptions. We apply the confidence sets to further examining the effect of family intactness on a child's high school graduation originally studied in Manski et al. (1992).

Original language	English
Pages (from-to)	45-56
Number of pages	12
Journal	Journal of Econometrics
Volume	178
Issue number	PART 1
DOIs	https://doi.org/10.1016/j.jeconom.2013.08.005
Publication status	Published - 2014 Jan

Bibliographical note

Funding Information:
The first version of this paper was completed during Fan’s visit to the Forschungsinstitut für Mathematik at the Eidgenössische Technische Hochschule Zürich in November 2007. Fan is grateful to Paul Embrechts for arranging her visit. Park acknowledges financial support from Korea University ’s research grant.

Keywords

Average treatment effect
Counterfactual mean outcome
Kernel estimation
Partial identification

ASJC Scopus subject areas

Economics and Econometrics

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10.1016/j.jeconom.2013.08.005

Cite this

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title = "Nonparametric inference for counterfactual means: Bias-correction, confidence sets, and weak IV",

abstract = "This paper supplements Manski (1990) and Manski and Pepper (2000) and contributes to the literature by introducing the concept of weak IV for the partially identified mean counterfactual outcomes when an instrumental variable (IV) or a monotone instrumental variable (MIV) is available (IV or MIV assumption respectively); developing asymptotically uniformly valid confidence sets for the counterfactual mean outcomes and average treatment effects under the assumptions; correcting biases of estimates of bounds on the counterfactual mean outcomes under the assumptions. We apply the confidence sets to further examining the effect of family intactness on a child's high school graduation originally studied in Manski et al. (1992).",

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doi = "10.1016/j.jeconom.2013.08.005",

language = "English",

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T2 - Bias-correction, confidence sets, and weak IV

AU - Fan, Yanqin

AU - Park, Sang Soo

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PY - 2014/1

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N2 - This paper supplements Manski (1990) and Manski and Pepper (2000) and contributes to the literature by introducing the concept of weak IV for the partially identified mean counterfactual outcomes when an instrumental variable (IV) or a monotone instrumental variable (MIV) is available (IV or MIV assumption respectively); developing asymptotically uniformly valid confidence sets for the counterfactual mean outcomes and average treatment effects under the assumptions; correcting biases of estimates of bounds on the counterfactual mean outcomes under the assumptions. We apply the confidence sets to further examining the effect of family intactness on a child's high school graduation originally studied in Manski et al. (1992).

AB - This paper supplements Manski (1990) and Manski and Pepper (2000) and contributes to the literature by introducing the concept of weak IV for the partially identified mean counterfactual outcomes when an instrumental variable (IV) or a monotone instrumental variable (MIV) is available (IV or MIV assumption respectively); developing asymptotically uniformly valid confidence sets for the counterfactual mean outcomes and average treatment effects under the assumptions; correcting biases of estimates of bounds on the counterfactual mean outcomes under the assumptions. We apply the confidence sets to further examining the effect of family intactness on a child's high school graduation originally studied in Manski et al. (1992).

KW - Average treatment effect

KW - Counterfactual mean outcome

KW - Kernel estimation

KW - Partial identification

UR - https://www.scopus.com/pages/publications/84889649874

U2 - 10.1016/j.jeconom.2013.08.005

DO - 10.1016/j.jeconom.2013.08.005

M3 - Article

AN - SCOPUS:84889649874

SN - 0304-4076

VL - 178

SP - 45

EP - 56

JO - Journal of Econometrics

JF - Journal of Econometrics

IS - PART 1

ER -

Nonparametric inference for counterfactual means: Bias-correction, confidence sets, and weak IV

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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