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Full-Text Articles in Economics
Identification Of Nonparametric Simultaneous Equations Models With A Residual Index Structure, Steven T. Berry, Philip A. Haile
Identification Of Nonparametric Simultaneous Equations Models With A Residual Index Structure, Steven T. Berry, Philip A. Haile
Cowles Foundation Discussion Papers
We present new identification results for a class of nonseparable nonparametric simultaneous equations models introduced by Matzkin (2008). These models combine traditional exclusion restrictions with a requirement that each structural error enter through a “residual index.” Our identification results are constructive and encompass a range of special cases with varying demands on the exogenous variation provided by instruments and the shape of the joint density of the structural errors. The most important of these results demonstrate identification even when instruments have limited variation. A genericity result demonstrates a formal sense in which the associated density conditions may be viewed as …
Identification Of Nonparametric Simultaneous Equations Models With A Residual Index Structure, Steven T. Berry, Philip A. Haile
Identification Of Nonparametric Simultaneous Equations Models With A Residual Index Structure, Steven T. Berry, Philip A. Haile
Cowles Foundation Discussion Papers
We present new results on the identifiability of a class of nonseparable nonparametric simultaneous equations models introduced by Matzkin (2008). These models combine exclusion restrictions with a requirement that each structural error enter through a “residual index.” Our identification results encompass a variety of special cases allowing tradeoffs between the exogenous variation required of instruments and restrictions on the joint density of structural errors. Among these special cases are results avoiding any density restriction and results allowing instruments with arbitrarily small support.
Identification In A Class Of Nonparametric Simultaneous Equations Models, Steven T. Berry, Philip A. Haile
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
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
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.
Estimating Derivatives In Nonseparable Models With Limited Dependent Variables, Joseph G. Altonji, Hidehiko Ichimura, Taisuke Otsu
Estimating Derivatives In Nonseparable Models With Limited Dependent Variables, Joseph G. Altonji, Hidehiko Ichimura, Taisuke Otsu
Cowles Foundation Discussion Papers
We present a simple way to estimate the effects of changes in a vector of observable variables X on a limited dependent variable Y when Y is a general nonseparable function of X and unobservables. We treat models in which Y is censored from above or below or potentially from both. The basic idea is to first estimate the derivative of the conditional mean of Y given X at x with respect to x on the uncensored sample without correcting for the effect of changes in x induced on the censored population. We then correct the derivative for the effects …
Estimating Derivatives In Nonseparable Models With Limited Dependent Variables, Joseph G. Altonji, Hidehiko Ichimura, Taisuke Otsu
Estimating Derivatives In Nonseparable Models With Limited Dependent Variables, Joseph G. Altonji, Hidehiko Ichimura, Taisuke Otsu
Cowles Foundation Discussion Papers
We present a simple way to estimate the effects of changes in a vector of observable variables X on a limited dependent variable Y when Y is a general nonseparable function of X and unobservables, and X is independent of the unobservables. We treat models in which Y is censored from above, below, or both. The basic idea is to first estimate the derivative of the conditional mean of Y given X at x with respect to x on the uncensored sample without correcting for the effect of x on the censored population. We then correct the derivative for the …