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SMU SOE Online Seminar (Mar 1, 2021, 9am-10.30am): Linear Programming Approach to Nonparametric Inference under Shape Restrictions: with an Application to Regression Kink Designs

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TOPIC:  

LINEAR PROGRAMMING APPROACH TO NONPARAMETRIC INFERENCE UNDER SHAPE RESTRICTIONS: WITH AN APPLICATION TO REGRESSION KINK DESIGNS

 

We develop a novel method of constructing confidence bands for nonparametric regression functions under shape constraints. This method can be implemented via a linear programming, and it is thus computationally appealing. We illustrate a usage of our proposed method with an application to the regression kink design (RKD). Econometric analyses based on the RKD often suffer from wide confidence intervals due to slow convergence rates of nonparametric derivative estimators. We demonstrate that economic models and structures motivate shape restrictions, which in turn contribute to shrinking the confidence interval for an analysis of the causal effects of unemployment insurance benefits on unemployment durations.
 
Keywords: Linear programming, regression kink design, shape restriction, nonparametric inference, confidence band.
 
JEL Codes: C13, C14, C21.
 
Click here to view the paper.
Click here to view the CV.
 
 
 

This seminar will be held virtually via Zoom. A confirmation email with the Zoom details will be sent to the registered email by 26 February 2021.
 

Yuya Sasaki

Vanderbilt University
 
 
Econometrics
 
 

1 March 2021 (Monday)

 
 

9.00am - 10.30am