The Influence of Rounding Errors on Some Nonparametric Estimators of a Density and its Derivatives

DOI10.1137/0142030zbMath0499.62036OpenAlexW2011523726MaRDI QIDQ3965413

Hall, Peter

Publication date: 1982

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0142030

zbMATH Keywords

kernel estimatorsdensity estimationgeneralized Fourier seriesinfluence of rounding errors

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Point estimation (62F10)

Related Items (19)

Symmetric and asymmetric rounding: a review and some new results ⋮ L'effet de l'erreur d'arrondi sur l'estimateur d'une densité par la méthode du noyau ⋮ Fast and accurate computation for kernel estimators ⋮ Robustness of normality criteria with respect to rounding observations ⋮ Point process models for COVID-19 cases and deaths ⋮ On sensitivity of exponentiality tests to data rounding: a Monte Carlo simulation study ⋮ Analysis of rounded data from dependent sequences ⋮ Effective nonparametric estimation in the case of severely discretized data ⋮ The accuracy and the computational complexity of a multivariate binned kernel density estima\-tor. ⋮ Nonparametric estimation of a class of smooth functions ⋮ Kernel density estimators from quantized data ⋮ Revisit of Sheppard corrections in linear regression ⋮ Nonparametric kernel density estimation for general grouped data ⋮ Asymptotic behaviour of binned kernel density estimators for locally non-stationary random fields ⋮ A generalization of histogram type estimators ⋮ Statistical analysis for rounded data ⋮ On estimation of generalized densities ⋮ Multivariate locally adaptive density estimation. ⋮ On density estimation with superkernels

This page was built for publication: The Influence of Rounding Errors on Some Nonparametric Estimators of a Density and its Derivatives