Arbeitspapier

Identification and estimation in a correlated random coefficients binary response model

We study identification and estimation in a binary response model with random coefficients B allowed to be correlated with regressors X. Our objective is to identify the mean of the distribution of B and estimate a trimmed mean of this distribution. Like Imbens and Newey (2009), we use instruments Z and a control vector V to make X independent of B given V . A consequent conditional median restriction identifies the mean of B given V . Averaging over V identifies the mean of B. This leads to an analogous localize-then-average approach to estimation. We estimate conditional means with localized smooth maximum score estimators and average to obtain a Ín-consistent and asymptotically normal estimator of a trimmed mean of the distribution of B. The method can be adapted to models with nonrandom coefficients to produce Ín-consistent and asymptotically normal estimators under the conditional median restrictions. We explore small sample performance through simulations, and present an application.

Language
Englisch

Bibliographic citation
Series: cemmap working paper ; No. CWP42/12

Classification
Wirtschaft
Subject
Heterogeneity
Correlated Random Coefficients
Endogeneity
Binary Response Model
Instrumental Variables
Control Variables
Conditional Median Restrictions

Event
Geistige Schöpfung
(who)
Hoderlein, Stefan
Sherman, Robert
Event
Veröffentlichung
(who)
Centre for Microdata Methods and Practice (cemmap)
(where)
London
(when)
2012

DOI
doi:10.1920/wp.cem.2012.4212
Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Hoderlein, Stefan
  • Sherman, Robert
  • Centre for Microdata Methods and Practice (cemmap)

Time of origin

  • 2012

Other Objects (12)