Full paper in PDF:
$%C. Anido and T. Valdés, Censored regression models with double exponential error distributions: an iterative estimation procedure based on medians for correcting bias, Rev. Mat. Complut. 13 (2000), no. 1, 137159.%$

Censored Regression Models with Double Exponential Error Distributions: an Iterative Estimation Procedure Based on Medians for Correcting Bias
Carmen ANIDO and Teófilo VALDÉS
Universidad Autónoma de Madrid
Universidad Complutense de Madrid

Received: November 18, 1998
Revised: September 27, 1999

ABSTRACT

In this paper, we consider a simple iterative estimation procedure for censored regression models with symmetrical exponential error distributions. Although each step requires to impute the censored data with conditional medians, its tractability is guaranteed as well as its convergence at geometrical rate. Finally, as the final estimate coincides with a Huber M  -estimator, its consistency and asymptotic normality are easily proved.

1991 Mathematics Subject Classification: 62F12.