Arbeitspapier

Semiparametric estimation of structural functions in nonseparable triangular models

This paper introduces two classes of semiparametric triangular systems with nonadditively separable unobserved heterogeneity. They are based on distribution and quantile regression modeling of the reduced-form conditional distributions of the endogenous variables. We show that these models are flexible and identify the average, distribution and quantile structural functions using a control function approach that does not require a large support condition. We propose a computationally attractive three-stage procedure to estimate the structural functions where the first two stages consist of quantile or distribution regressions. We provide asymptotic theory and uniform inference methods for each stage. In particular, we derive functional central limit theorems and bootstrap functional central limit theorems for the distribution regression estimators of the structural functions. We illustrate the implementation and applicability of our methods with numerical simulations and an empirical application to demand analysis.

Language
Englisch

Bibliographic citation
Series: cemmap working paper ; No. CWP48/17

Classification
Wirtschaft
Subject
Structural functions
nonseparable models
control function
quantile and distribution regression
semiparametric estimation
uniform inference

Event
Geistige Schöpfung
(who)
Chernozhukov, Victor
Fernández-Val, Iván
Newey, Whitney
Stouli, Sami
Vella, Francis
Event
Veröffentlichung
(who)
Centre for Microdata Methods and Practice (cemmap)
(where)
London
(when)
2017

DOI
doi:10.1920/wp.cem.2017.4817
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Chernozhukov, Victor
  • Fernández-Val, Iván
  • Newey, Whitney
  • Stouli, Sami
  • Vella, Francis
  • Centre for Microdata Methods and Practice (cemmap)

Time of origin

  • 2017

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