\(L_{1}\) regression estimate and its bootstrap

DOI10.1007/S11425-009-0087-6zbMath1176.62009OpenAlexW1978149294MaRDI QIDQ1042963

Arup Bose

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0087-6

zbMATH Keywords

generalized bootstrap

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Linear regression; mixed models (62J05) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Nonparametric statistical resampling methods (62G09)

Cites Work

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• Generalised bootstrap in non-regular M-estimation problems
• Limiting distributions for \(L_1\) regression estimators under general conditions
• Asymptotic Theory of Least Absolute Error Regression
• The estimating function bootstrap
• Asymptotics for L₁‐estimators of regression parameters under heteroscedasticityY

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