Nonlinear and Nonparametric Regression and Instrumental Variables

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Gaussian Process Structural Equation Models with Latent Variables (2010, methodology): “Assumptions for the identifiability of functionsfi(·), given the identifiability of the joint ofX , have been discussed in the literature of error-in-variables regression (Fan and Truong, 1993; Carroll et al., 2004).”
Generalized varying coefficient models for longitudinal data (2008, background): “We demonstrate that the following estimator (6) indeed provides a construction of such an instrumental variable (compare Carroll et al., 2004).”
Locally Efficient Estimators for Semiparametric Models With Measurement Error (2006, unknown): “A referee asked about the connection of our methodology and that of the instrumental variable work of Carroll et al. (2004). There are many differences between our paper and theirs, but there is one interesting connection, showing that our methodology is also applicable to the instrumental variable ”