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Bounds for estimation of density functions and their derivatives

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Publication:1238193
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DOI10.1214/aos/1176343746zbMath0357.62024OpenAlexW2006347452MaRDI QIDQ1238193

Terry G. Meyer

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1214/aos/1176343746



Mathematics Subject Classification ID

Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15)


Related Items (7)

Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications ⋮ Optimal rates for local bandwidth selection ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3048064 Estimation des densit�s: risque minimax] ⋮ Asymptotic lower bounds for the risk of estimators of the value of a spectral density function ⋮ Asymptotics for function derivatives estimators based on stationary and ergodic discrete time processes ⋮ Uniform almost sure convergence and asymptotic distribution of the wavelet-based estimators of partial derivatives of multivariate density function under weak dependence ⋮ Lower bounds for the asymptotic minimax risk with spherical data






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