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Instrumental variable estimation for functional concurrent regression models.

Justin Petrovich1, Bahaeddine Taoufik2, Zachary George Davis3

  • 1Department of Business Administration, Saint Vincent College, Latrobe, PA, USA.

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|June 12, 2024
PubMed
Summary

This study introduces a new functional concurrent regression model to estimate labor supply elasticities using instrumental variables. The method accurately estimates labor supply elasticities from sparse functional data, correcting for wage endogeneity.

Keywords:
Functional concurrent regressioninstrumental variablelabor supply elasticitysparse functional data

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Area of Science:

  • Econometrics
  • Labor Economics
  • Statistical Modeling

Background:

  • Estimating labor supply elasticities is crucial for economic policy.
  • Existing functional regression models often struggle with sparse data and endogeneity.
  • Wage endogeneity is a common challenge in labor supply studies.

Purpose of the Study:

  • To propose a novel functional concurrent regression model for labor supply elasticity estimation.
  • To address the challenges of sparse functional data and endogenous wages.
  • To adapt instrumental variable methods for the functional concurrent regression model.

Main Methods:

  • Utilized Current Population Survey data from 1988-2014.
  • Developed a two-stage least squares (2SLS) approach within a functional concurrent regression framework.
  • Tailored the estimation method for sparse functional data.

Main Results:

  • The proposed 2SLS functional concurrent regression model effectively eliminates bias from naive models.
  • Accurate coefficient estimates were achieved even with moderate sample sizes.
  • Demonstrated the model's suitability for sparse functional data.

Conclusions:

  • The novel functional concurrent regression model with instrumental variables is a significant advancement.
  • This method provides a robust approach for estimating labor supply elasticities with endogenous wages and sparse data.
  • The findings have implications for economic research and policy analysis.