A unified treatment of direct and indirect estimation of a probability density and its derivatives

DOI10.1016/S0167-7152(01)00164-XzbMath0994.62025OpenAlexW1978478904MaRDI QIDQ1612997

Belkacem Abdous, Nadia Ghazzali, Stéphane Germain

Publication date: 5 September 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(01)00164-x

zbMATH Keywords

regularizationkernel estimationill-posed problemsdeconvolutiondensity derivativeswavelets estimates

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (4)

Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications ⋮ Wavelet optimal estimations for a density with some additive noises ⋮ 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

Uses Software

• KernSmooth

Cites Work

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