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Variational solution of penalized likelihood problems and smooth curve estimation

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Publication:1914255
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DOI10.1214/aos/1176324309zbMath0843.62044OpenAlexW2067412106MaRDI QIDQ1914255

Martin B. Mächler

Publication date: 21 August 1996

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176324309


zbMATH Keywords

variational problemsmaximum penalized likelihoodinflection pointEuler-Lagrange differential equationnonparametric regression estimatorsroughness penaltyrobust smoothingchange of curvaturecharacterizing differential equation


Mathematics Subject Classification ID

Density estimation (62G07) Numerical smoothing, curve fitting (65D10) Approximation with constraints (41A29) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)


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Piecewise convex function estimation: Pilot estimators ⋮ Local extremes, runs, strings and multiresolution. (With discussion)




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