2009
DOI: 10.3982/ecta7108
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Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity

Abstract: This paper uses control variables to identify and estimate models with nonseparable, multidimensional disturbances. Triangular simultaneous equations models are considered, with instruments and disturbances that are independent and a reduced form that is strictly monotonic in a scalar disturbance. Here it is shown that the conditional cumulative distribution function of the endogenous variable given the instruments is a control variable. Also, for any control variable, identification results are given for quan… Show more

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Cited by 341 publications
(52 citation statements)
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“…Since the outcomes are multinomial, and the multinomial model is nonlinear, direct application of instrumental variable methods through, for example, two-stage least squares is not appropriate. One solution in such a setting is to follow Imbens and Newey (2009), which is a control function approach requiring the estimation of a conditional cumulative distribution function; it also requires an instrument. Koch and Tshiswaka-Kashalala (2018) apply this in estimating the demand for contraceptive efficacy.…”
Section: Potential Endogeneitymentioning
confidence: 99%
See 1 more Smart Citation
“…Since the outcomes are multinomial, and the multinomial model is nonlinear, direct application of instrumental variable methods through, for example, two-stage least squares is not appropriate. One solution in such a setting is to follow Imbens and Newey (2009), which is a control function approach requiring the estimation of a conditional cumulative distribution function; it also requires an instrument. Koch and Tshiswaka-Kashalala (2018) apply this in estimating the demand for contraceptive efficacy.…”
Section: Potential Endogeneitymentioning
confidence: 99%
“…Unfortunately, as previously implied, an instrument is not readily available in our data. Instead, one could consider a method proposed by Dong (2010), which is similar in spirit to Imbens and Newey (2009), but does not require an instrument. However, Dong (2010) does not explicitly allow for binary endogenous variables; rather, it requires the underlying support of the estimated error associated with the endogenous variable to be large.…”
Section: Potential Endogeneitymentioning
confidence: 99%
“…Moreover, the QF of interest may be conditional or marginal, counterfactual, or derived from a structural model (see, e.g., Chernozhukov et al (2013), Imbens and Newey (2009)). …”
Section: Introductionmentioning
confidence: 99%
“…It applies to the canonical empirical DF, but also works in conjunction with modern parametric, semiparametric, and nonparametric modeling strategies, and does not depend on the sampling scheme. The QF of interest may be conditional or unconditional, counterfactual, or derived from a structural model (see, e.g., Chernozhukov et al (2013), Imbens and Newey (2009)). The only requirement is the existence of a valid method to obtain simultaneous confidence bands for DFs.…”
Section: Introductionmentioning
confidence: 99%