More on monotone instrumental variables

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Identification and shape restrictions in nonparametric instrumental variables estimation (2012, background): “Interval identification of g in (1a) has been investigated previously by Chesher (2004) and Manski and Pepper (2000, 2009).”
Set Identified Linear Models (2011, background): “3 An additional general point is in order about small sample biases arising when minimizing an estimated function as discussed by Manski and Pepper (2009) for instance. A correction approach was recently proposed by Chernozhukov, Lee and Rosen (2009) where they use confidence interval estimates.”
Intersection bounds: estimation and inference (2009, methodology): “he suprema and inﬁma of estimated bounding functions, they have substantial ﬁnite sample bias, and estimated bounds tend to be much tighter than the population bounds. This has been noted by [46] and [47], and some heuristic bias adjustments have been proposed by [33] and [40]. We solve the problem ”
Identification of Treatment Effects Under Conditional Partial Independence (2017, methodology): “2See Masten and Poirier (2016) for several other applications of this result. and Altonji et al. (2005, 2008).”