Arbeitspapier

Intercept Estimation in Nonlinear Selection Models

We propose various semiparametric estimators for nonlinear selection models, where slope and intercept can be separately identifed. When the selection equation satisfies a monotonic index restriction, we suggest a local polynomial estimator, using only observations for which the marginal distribution of instrument index is close to one. Such an estimator achieves a univariate nonparametric rate, which can range from a cubic to an 'almost' parametric rate. We then consider the case in which either the monotonic index restriction does not hold and/ or the set of observations with propensity score close to one is thin so that convergence occurs at most at a cubic rate. We explore the finite sample behaviour in a Monte Carlo study, and illustrate the use of our estimator using a model for count data with multiplicative unobserved heterogeneity.

Language
Englisch

Bibliographic citation
Series: IZA Discussion Papers ; No. 14364

Classification
Wirtschaft
Semiparametric and Nonparametric Methods: General
Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions
Single Equation Models; Single Variables: Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
Subject
irregular identification
selection bias
local polynomial
trimming
count data

Event
Geistige Schöpfung
(who)
Arulampalam, Wiji
Corradi, Valentina
Gutknecht, Daniel
Event
Veröffentlichung
(who)
Institute of Labor Economics (IZA)
(where)
Bonn
(when)
2021

Handle
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Arulampalam, Wiji
  • Corradi, Valentina
  • Gutknecht, Daniel
  • Institute of Labor Economics (IZA)

Time of origin

  • 2021

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