Nonparametric Estimation under Shape Constraints: Estimators, Algorithms and Asymptotics

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Convex-constrained Sparse Additive Modeling and Its Extensions (2017, background): “For instance, many functions that arise in econometrics (Varian, 1982, 1984), actuarial science (Grenander, 1956), statistics (Groeneboom & Jongbloed, 2014), and optimization (Hannah & Dunson, 2013; Hannah et al., 2014) tend to be convex/concave or monotonic (Barlow et al., 1972).”
Divide and conquer in nonstandard problems and the super-efficiency phenomenon (2016, background): “The literature on monotone function estimation and inference is extensive: for an excellent exposition, we direct the reader to the recent text [16].”