Sankhya: The Indian Journal of Statistics
1993, Volume 55, Series B, Pt. 2, 199--218RECURSIVE ALGORITHM FOR $M$-ESTIMATES OF REGRESSION COEFFICIENTS AND SCATTER PARAMETERS IN LINEAR MODELS
By
Z. D. BAI,
And
Y. H. WU, Temple University and York University
SUMMARY. In this paper, a recursive algorithm for computing the $m$-estimators of regression coefficients and scatter parameters in a general linear models is proposed, and the strong consistency of the estimators is established.
AMS (1980) subject classification. 62F35,62J05
Key words and phrases. Linear regression model, martingale, $M$-estimation, recursive algorithm, regression coefficients, robust estimation, scatter parameters, strong consistency