Median regression model with doubly truncated data

Abstract

We study the problem of fitting a heteroscedastic median regression model with doubly truncated data. A self-consistency equation is proposed to obtain an estimator. We set up a least absolute deviation estimating function. We establish the consistency and asymptotic normality for the case when covariates are discrete. The finite sample performance of the proposed estimators are investigated through simulation studies. The proposed method is illustrated using the AIDS Blood Transfusion Data.

Keywords:

• least absolute deviation
• martingale
• heteroscedastic
• double truncation

Acknowledgements

The author would like to thank the associate editor and referees for their helpful and valuable comments and suggestions.