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Social and Behavioral Sciences Commons

Open Access. Powered by Scholars. Published by Universities.®

2011

Series

Yale University

Nonseparable models

Articles 1 - 3 of 3

Full-Text Articles in Social and Behavioral Sciences

Identification In A Class Of Nonparametric Simultaneous Equations Models, Steven T. Berry, Philip A. Haile Mar 2011

Identification In A Class Of Nonparametric Simultaneous Equations Models, Steven T. Berry, Philip A. Haile

Cowles Foundation Discussion Papers

We consider identification in a class of nonparametric simultaneous equations models introduced by Matzkin (2008). These models combine standard exclusion restrictions with a requirement that each structural error enter through a “residual index” function. We provide constructive proofs of identification under several sets of conditions, demonstrating tradeoffs between restrictions on the support of the instruments, shape restrictions on the joint distribution of the structural errors, and restrictions on the form of the residual index function.


Identification In A Class Of Nonparametric Simultaneous Equations Models, Steven T. Berry, Philip A. Haile Mar 2011

Identification In A Class Of Nonparametric Simultaneous Equations Models, Steven T. Berry, Philip A. Haile

Cowles Foundation Discussion Papers

We consider identification in a class of nonseparable nonparametric simultaneous equations models introduced by Matzkin (2008). These models combine standard exclusion restrictions with a requirement that each structural error enter through a “residual index” function. We provide constructive proofs of identification under several sets of conditions, demonstrating tradeoffs between restrictions on the support of the instruments, restrictions on the joint distribution of the structural errors, and restrictions on the form of the residual index function.


Identification In A Class Of Nonparametric Simultaneous Equations Models, Steven T. Berry, Philip A. Haile Mar 2011

Identification In A Class Of Nonparametric Simultaneous Equations Models, Steven T. Berry, Philip A. Haile

Cowles Foundation Discussion Papers

We consider identification in a class of nonseparable nonparametric simultaneous equations models introduced by Matzkin (2008). These models combine standard exclusion restrictions with a requirement that each structural error enter through a “residual index” function. We provide constructive proofs of identification under several sets of conditions, demonstrating some of the available tradeoffs between conditions on the support of the instruments, restrictions on the joint distribution of the structural errors, and restrictions on the form of the residual index function.