A minimax optimal estimator for continuous monotone densities

DOI10.1016/0378-3758(94)00100-AzbMath0833.62037OpenAlexW2057502443MaRDI QIDQ1901729

Somnath Datta

Publication date: 9 November 1995

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

Full work available at URL: https://doi.org/10.1016/0378-3758(94)00100-a

zbMATH Keywords

smoothingGrenander estimatorminimax optimalitymonotone densityL1-risk

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (3)

A note on uniform consistency of monotone function estimators ⋮ Estimation de densités unimodales ⋮ An appraisal of some aspects of statistical inference under inequality constraints

Cites Work

• The Grenander estimator: A nonasymptotic approach
• On the risk of histograms for estimating decreasing densities
• Estimating a smooth monotone regression function
• Some nonasymptotic bounds for \(L_ 1\) density estimation using kernels
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