Open Access
April 1998 Limiting distributions for $L\sb 1$ regression estimators under general conditions
Keith Knight
Ann. Statist. 26(2): 755-770 (April 1998). DOI: 10.1214/aos/1028144858

Abstract

It is well known that $L_1$-estimators of regression parameters are asymptotically normal if the distribution function has a positive derivative at 0. In this paper, we derive the asymptotic distributions under more general conditions on the behavior of the distribution function near 0.

Citation

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Keith Knight. "Limiting distributions for $L\sb 1$ regression estimators under general conditions." Ann. Statist. 26 (2) 755 - 770, April 1998. https://doi.org/10.1214/aos/1028144858

Information

Published: April 1998
First available in Project Euclid: 31 July 2002

zbMATH: 0929.62021
MathSciNet: MR1626024
Digital Object Identifier: 10.1214/aos/1028144858

Subjects:
Primary: 60F05 , 62F12
Secondary: 60F17 , 62E20

Keywords: $L_1$-estimation , asymptotic distribution , Linear regression

Rights: Copyright © 1998 Institute of Mathematical Statistics

Vol.26 • No. 2 • April 1998
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