A note on estimating a non-increasing density in the presence of selection bias

DOI10.1016/S0378-3758(02)00263-XzbMath1016.62028MaRDI QIDQ1866210

Paul I. Nelson, Hammou El Barmi

Publication date: 3 April 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

asymptotic normalityHellinger distanceorder restricted inference\(L_1\)-normDensity estimationnonparametric maximum likelihoodweighted distribution

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05)

Related Items (4)

A note on exponential dispersion models which are invariant under length-biased sampling ⋮ Estimation of a monotone density in \(s\)-sample biased sampling models ⋮ Nonparametric estimation of a regression function from backward recurrence times in a cross-sectional sampling ⋮ Shape constrained kernel density estimation

Cites Work

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• The asymptotic behavior of monotone regression estimates
• Nonparametric estimation in the presence of length bias
• The distribution of the argmax of two-sided brownian motion with quadratic drift
• On Estimating a Density which is Measurable with Respect to a $\sigma$-Lattice
• Estimation for Distributions with Monotone Failure Rate

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