Likelihood Ratio Tests for Monotone Functions

By Moulinath Banerjee, Jon A. Wellner. 2001

142 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e2fa1df0ee54bb82f5595c4cf36da643c04f1560

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In Statistics and Probability

Citations in the corpus

Confidence Intervals for Current Status Data (2005, background): “PðD daÞ ¼ 1 a; by appealing directly to theorem 2.6 of Banerjee & Wellner (2001).”
A general asymptotic scheme for inference under order restrictions (2006, background): “It would be interesting to extend our results to process results, such as in, for example, [5, 28, 31]; we have not attempted to do so in this paper.”
Bootstrapping the Grenander estimator (2008, methodology): “Hence, by Fubini’s theorem for outer expectations (Lemma 1.2.6 of van der Vaart and Wellner [18]), X̂n is asymptotically tight unconditionally.”
Confidence sets for split points in decision trees (2007, background): “In a recent study [16] of the effects of phosphorus pollution in the Everglades, split points are used in a novel way to identify threshold levels of phosphorus concentration that are associated with declines in the abundance of certain species.”
An imprecise-probabilistic characterization of frequentist statistical inference (2021, methodology): “In the context of regression, testing for monotonicity and inference under shape constraints has been more widely studied, e.g., Bowman et al. (1998), Banerjee and Wellner (2001), Cai et al. (2013), and Chakraborty and Ghosal (2021a,b).”
Nonparametric Shape-Restricted Regression (2017, methodology): “Banerjee and Wellner [15] proposed a novel method for constructing pointwise confidence intervals for a monotone function (e.”
Likelihood based inference for monotone response models (2007, background): “In particular, the result on the likelihood ratio statistic derived in [3] follows as a special case of our current results.”