Marshall lemma in discrete convex estimation

DOI10.1016/j.spl.2015.01.016zbMath1331.62252OpenAlexW2015397357WikidataQ124828145 ScholiaQ124828145MaRDI QIDQ2344880

Cécile Durot, Fadoua Balabdaoui

Publication date: 18 May 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.01.016

zbMATH Keywords

convexnonparametric least squaresshape constraintspmfMarshall lemma

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

Testing \(k\)-monotonicity of a discrete distribution. Application to the estimation of the number of classes in a population ⋮ Efficient shape-constrained inference for the autocovariance sequence from a reversible Markov chain ⋮ Some developments in the theory of shape constrained inference

Cites Work

• On asymptotics of the discrete convex LSE of a p.m.f.
• Least-squares estimation of a convex discrete distribution
• Estimation of a convex function: Characterizations and asymptotic theory.
• A second Marshall inequality in convex estimation
• Asymptotically minimax estimation of concave and convex distribution functions
• A Kiefer-Wolfowitz theorem for convex densities
• Marshall’s lemma for convex density estimation

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