ASYMPTOTIC THEORY FOR SOME HIGH BREAKDOWN POINT ESTIMATORS

B-Tier
Journal: Econometric Theory
Year: 2002
Volume: 18
Issue: 5
Pages: 1172-1196

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

High breakdown point estimators in regression are robust against gross contamination in the regressors and also in the errors; the least median of squares (LMS) estimator has the additional property of packing the majority of the sample most tightly around the estimated regression hyperplane in terms of absolute deviations of the residuals and thus is helpful in identifying outliers. Asymptotics for a class of high breakdown point smoothed LMS estimators are derived here under a variety of conditions that allow for time series applications; joint limit processes for several smoothed estimators are examined. The limit process for the LMS estimator is represented via a generalized Gaussian process that defines the generalized derivative of the Wiener process.

Technical Details

RePEc Handle
repec:cup:etheor:v:18:y:2002:i:05:p:1172-1196_18
Journal Field
Econometrics
Author Count
1
Added to Database
2026-01-29