Inferences Under a Stochastic Ordering Constraint

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Regression diagnostics meets forecast evaluation: conditional calibration, reliability diagrams, and coefficient of determination (2021, background): “…Dümbgen (2020) establish rates of uniform convergence in the cases of threshold (non) exceedance and quantile functionals that complement classical theory (Barlow et al., 1972; Casady and Cryer, 1976; Wright, 1984; Robertson et al., 1988; El Barmi and Mukerjee, 2005; Guntuboyina and Sen, 2018).”