Open Access
VOL. 7 | 2010 Second-order asymptotic representation of M-estimators in a linear model
Chapter Author(s) Marek Omelka
Editor(s) J. Antoch, M. Hušková, P.K. Sen
Inst. Math. Stat. (IMS) Collect., 2010: 194-203 (2010) DOI: 10.1214/10-IMSCOLL719

Abstract

The asymptotic properties of fixed-scale as well as studentized M-estimators in linear models with fixed carriers are studied. A two term von Mises expansion (second order asymptotic representation) is derived and verified. Possible applications of this result are shortly discussed.

Information

Published: 1 January 2010
First available in Project Euclid: 29 November 2010

MathSciNet: MR2808379

Digital Object Identifier: 10.1214/10-IMSCOLL719

Subjects:
Primary: 62G05
Secondary: 62F05

Keywords: Empirical processes , M-estimator

Rights: Copyright © 2010, Institute of Mathematical Statistics

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